Monday, September 4

Across the river


Birthplace

There's a forlorn triangle of green some two kilometers northwest of my Weston home that marks the first European settlement in this particular locale. Hemmed in by a rail corridor (to the north) and a busy Weston Road absorbing mostly north-bound traffic from St. Phillips Road, it's an unlikely spot to stop and stay awhile. Within Northend Parkette is a millstone monument, below which a plaque reads:

A grist mill & sawmill, built by David Holley in 1810-11, stood in the valley below. James Farr, to whom the mill belonged from 1815 until 1828, operated five run of stones in his mill. The lower & older part of the village of Weston, formerly known as Farr's Mills, was destroyed in the flood of 1850. In 1828, William Wadsworth bought the mill rebuilt & operated the sawmill, 1830-1870, & built a larger grist mill in 1856. The Wadsworth mills operated in this vicinity for 87 years.

My transcription is identical to the one posted at this website, except that they added a comma that I don't believe is there. The "valley below" is the Humber River valley, due west across Weston Road. In fact, Farr's mills were just a tad further than the downslope of the immediate valley. They were on the other side of the river, presumably in this golf-course section of faux greenery.

There's another plaque dedicated to the founding of Weston in Little Avenue Memorial Park, a little closer to the community's business hub. It reads:

Settlers were attracted to this vicinity in the 1790s by the area's rich timber resources and the water power potential of the Humber River here. By 1792 a sawmill was established on the west bank and within two decades a small hamlet, known as "The Humber", had developed. About 1815 James Farr, a prominent local mill-owner, named it Weston after his English ancestral home. The community subsequently expanded along both sides of the river until 1850 when a disastrous flood destroyed the west bank settlement. Improvements to the Weston Road and the arrival of the Grand Trunk Railway in 1856 stimulated substantial further growth on the east side. Incorporated as a Village in 1881, Weston became part of the Borough of York in 1967.

A slightly different narrative. A hamlet supposedly known as "The Humber" was renamed "Weston" about 1815. This almost certainly comes from the pens of Frederick David Cruikshank and Joseph Nason who assert in their 1937 History of Weston (page 5): "James Farr objected to the name of 'The Humber' for the hamlet, as the name was being used by other settlements along the river, and, being the mill owner and leading figure in the village, renamed it 'Weston' after his ancestral home in England." Alas, it was 1815 when village folk likely began calling the place Farr's Mills and it seems unlikely that they would have called it anything else until after 1828. "The Humber" is just short for "The Humber River" and yes, of course, it will mean different places depending on where along the river one was situated. It is difficult to know how seriously one should take Cruikshank and Nason. The book is full of gossipy tidbits like this, provided without any accreditation or apparent circumspection (except when some juicy story "cannot be published in deference to the descendants of some of the principals", page 13).

The plaque's statement that "the community subsequently expanded along both sides of the river until 1850 when a disastrous flood destroyed the west bank settlement" has its counterpart in a 7 December 1881 (page 10) article in The Globe newspaper reporting that a Mr. William Watson of Weston, at a meeting of the York Pioneers, "took up the mills, tanneries, and distilleries of Weston, and the changes. Sixty years ago, on the York side of what is now the village of Weston — then Farr's Mills — there were only three houses, and those were the farmhouses of Colonel Allen, a Mrs. Davis, and a Mr. Hill. For years after that the village of Weston, which consisted of about fifteen houses, was almost entirely on the Etobicoke side of the Humber River, and owing to the heavy spring floods the people began to desert the place. In 1850 the entire village was swept away with the exception of one chimney."

Here's how Cruikshank and Nason describe it (page 13): "In the spring of 1842 there was a very bad flood on the Humber and several buildings of the hamlet were badly damaged. Again in 1850 the Humber, rising 20 feet above normal, put on the worst flood in its history and every house and shop in this compact little settlement in the valley was washed away or badly damaged by the huge cakes of ice. All that was left was the stone chimney of the cooper shop, which remained until comparatively recent years as a monument to the first village." A little down the page: "This was a great disaster, the destruction of a whole village by flood, and the homeless had to seek the kindly shelter of the few houses on the York side and of the farm houses in the district. In due course a petition was circulated among the refugees, and at a meeting held in St. Philip's Church on the hill they decided to forsake the original site in the valley, and Weston was rebuilt on the east side of the river along the Plank Road."

Borders

The Humber River separated Etobicoke Township (on the west) from York Township (on the east). It strikes me that when the village of Weston became incorporated in 1882, it did so under the auspices of York Township, which implied that the village's border formally ceased at the Humber River. That was certainly the case when Weston was incorporated as a town in 1914 (as maps of the town readily confirm). That left the Etobicoke residents of the formerly conjoined twins estranged from their village neighbours. Well, I don't know that it actually bothered anyone. More pertinent perhaps is that it established a de facto mindset of Weston being on the east side of the river.

Connecting the dots

There's another plaque at the northwest corner of Little Avenue and Weston Road (not far from the Founding-of-Weston one mentioned above) detailing — in a map — the Toronto Carrying Place, a portage trail running from the Humber River at Bloor Street to the Holland River, a considerable journey. You may be forgiven if you think that the dashed line segments represents an actual path, but in fact we know very little about the journey. The trail is just a supposed connection between the start and end points, ignoring the many places along the way where a canoe might sensibly be set in water.

Weston crossing the river is very much like that. We perceive it to be (Farr's Mills) on the west side at one time, then (the incorporated village) on the east side. Knowing very little about the journey, we simply connect the dots. Part of the problem is nomenclature. Farr's Mills undoubtedly refers to the structures on the the river's flood plain, ignoring the farms and other buildings (like St. Philip's Church) that were part of the larger, on-higher-ground "Weston" presence in Etobicoke. That presence grew into a significant community by the time the village incorporated. A Weston map of 1878 clearly shows what is now known as "Humber Heights" as a part of the village. Here is a detail from an 1878 Etobicoke map:


Note that the W of Weston is on the Etobicoke side. They didn't want to put it further west because there it would obstruct the view of the many smaller lots. Unlike maps of York Township which never show anything west of the river, this map of Etobicoke generously shows the rest of Weston on the York side, though not the lots.

Denouement

Charles Pelham Mulvany, Graeme Mercer Adam, and Christopher Blackett Robinson published a History of Toronto in 1885. Therein we find that "the larger portion of the village [of Weston] is in York Township, that on the west side being in Etobicoke." This is three years after (arguably) all of Weston then being (technically) in York Township. Their account of the 1850 flood is worth noting:

Sixty years ago, on the York side of what is now the Village of Weston, then known as "Farr's Mills", there were only three houses, all occupied by farmers. The village was almost entirely on the Etobicoke side of the river, being mainly situated upon a narrow strip of land, containing between two and three acres, bounded on the west by Wadsworth's mill and tail race, and on the east by the Humber. About fifteen houses, besides stores and other business places, constituted the village. It comprised two stores, a tavern, and blacksmith's, weaver's, cooper's, and saddler's shops. This locality was gradually abandoned, owing to the damage caused by spring freshets. Several buildings were greatly injured from this cause in 1842, and in 1850 the buildings remaining in that part of the village were entirely destroyed.

Not mentioned in any of the above 1850 flood accounts is that the Albion Plank Road bridge was carried away in it, as reported in the 6 April 1850 (page 166) The Globe. The rapid snow/ice melt was said to be the result of continuous heavy rain from "forenoon" on April 3 through the greater part of April 4. How does this compare with the hurricane of September 1878? Just as with the 1850 flooding, the hurricane rain damage was extensive. Cruikshank and Nason mention it in passing (page 8) as the cause of the Wadsworth sawmill destruction.

Conclusion

Weston's origin lies in the industries of Farr's Mills on the flood plain of the Etobicoke side of the Humber River. James Farr's renaming of the community as Weston, uncritically given as early as 1815, is almost certainly much later. Alan Rayburn's 1997 Place Names of Ontario (page 370) suggests 1843. An article by Max Rosenthal entitled Postal Service in the Early Days in York County (BNA Topics, 1965; page 234) has a new post office at "Weston" in 1842 but it isn't clear if it was already called that. The Globe newspaper began publishing in 1844 and there are a couple of references to Weston in it that year: A mention on October 22 (page 2) clearly places the village in Etobicoke. After the flood-plain community was destroyed in 1850, its trades and businesses intended to relocate to the York side of the river, although to what extent this was accomplished is difficult to ascertain. What is known is that some trades and businesses did eventually come to be established along the Weston Plank Road, just as residential areas grew on both the York and Etobicoke sides of the river. From the 1882 incorporation of Weston until the 1998 amalgamation of the city of York into greater Toronto, the community was effectively split in two by the Humber River, as political borders became manifest. But it was also still held together, by proximity, historical inertia, and the post office (especially), which (I'm given to understand) continued to treat the Etobicoke side of Weston as "Weston" — right into the era of postal codes (1970s), when it no longer mattered very much what place designation was used.

Thursday, August 24

Cube wonders

On Monday, Futility Closet posted — without explanation — five base-ten 12-digit "cube wonders" (my expression). After finding a smaller example (512) I wondered if I might be able to discover larger ones. Alas, my brute-force Mathematica code was taking its time rediscovering even those five examples and I eventually gave up.

A web search soon led me to OEIS A006887 where those five numbers are the cubes of terms #9 - #13. Jack Brennen kindly supplied a C-program that calculated the sequence's additional terms. All I had to do was cull from the newly generated list those terms whose cubes could be split into three equal digit-length parts, wherein (for the sake of aesthetics) the second and third parts did not start with a zero. Here are the first 33 solutions:

512 = (5+1+2)^3
121213882349 = (1212+1388+2349)^3
128711132649 = (1287+1113+2649)^3
162324571375 = (1623+2457+1375)^3
171323771464 = (1713+2377+1464)^3
368910352448 = (3689+1035+2448)^3
171471879319616 = (17147+18793+19616)^3
220721185826504 = (22072+11858+26504)^3
470511577514952 = (47051+15775+14952)^3
109294197946170875 = (109294+197946+170875)^3
116367227503144344 = (116367+227503+144344)^3
120706126590246912 = (120706+126590+246912)^3
160769107975275008 = (160769+107975+275008)^3
175471156639227736 = (175471+156639+227736)^3
214714120150263943 = (214714+120150+263943)^3
293736149984221021 = (293736+149984+221021)^3
435235164725157875 = (435235+164725+157875)^3
495862183018112625 = (495862+183018+112625)^3
526727149679131192 = (526727+149679+131192)^3
119673015472102184000 = (1196730+1547210+2184000)^3
171467712620032578875 = (1714677+1262003+2578875)^3
236392428062461013000 = (2363924+2806246+1013000)^3
104126812463311912000000 = (10412681+24633119+12000000)^3
129994501742459020233216 = (12999450+17424590+20233216)^3
170717891744681120955851 = (17071789+17446811+20955851)^3
176905291183926726606912 = (17690529+11839267+26606912)^3
201817431964353718831681 = (20181743+19643537+18831681)^3
257700981126972226596544 = (25770098+11269722+26596544)^3
339601941949863016309248 = (33960194+19498630+16309248)^3
420352701580617017068241 = (42035270+15806170+17068241)^3
469218322003481810750024 = (46921832+20034818+10750024)^3
526085181538162612736833 = (52608518+15381626+12736833)^3
529262771767141910291487 = (52926277+17671419+10291487)^3

I have placed a larger 188-solutions set here.

Friday, August 11

554556098 and 8283333125

My program for finding pandigital factorization integer cascades wasn't very efficient. In order to improve on that situation I decided to first calculate a table of possible end-PFIs resulting from the addition of pandigital numbers to all possible start-PFIs. By which I mean the smallest few hundred-thousand start-PFIs because — after that — there are unlikely to be additional solutions:


The graph shows the number of solutions for the smallest 431285 PFIs. I went this far because there is a solution at PFI #431284 (which, after the addition of a pandigital number, becomes PFI #431285). The largest number of solutions is 414 for PFI #39644, which is 554556098 or 2*5861*47309:

  1.   2*5861*47309 + 1026475839 = 23*68740519
  2.   2*5861*47309 + 1029458637 = 5*316802947
  3.   2*5861*47309 + 1029468537 = 5*316804927
  4.   2*5861*47309 + 1032586947 = 5*317428609
  5.   2*5861*47309 + 1039285764 = 2*83*9601457
  6.   2*5861*47309 + 1042586937 = 5*319428607
  7.   2*5861*47309 + 1042856937 = 5*319482607
  8.   2*5861*47309 + 1052836947 = 5*321478609
  9.   2*5861*47309 + 1053486297 = 5*321608479
 10.   2*5861*47309 + 1054968237 = 5*321904867
 11.   2*5861*47309 + 1054986237 = 5*321908467
 12.   2*5861*47309 + 1065924837 = 5*324096187
 13.   2*5861*47309 + 1065983247 = 5*324107869
 14.   2*5861*47309 + 1082693547 = 5*761*430289
 15.   2*5861*47309 + 1089264357 = 5*328764091
 16.   2*5861*47309 + 1093864257 = 5*329684071
 17.   2*5861*47309 + 1243809657 = 5*4013*89627
 18.   2*5861*47309 + 1263498705 = 23*79045861
 19.   2*5861*47309 + 1265983047 = 5*364107829
 20.   2*5861*47309 + 1269480357 = 5*364807291
 21.   2*5861*47309 + 1269483507 = 5*364807921
 22.   2*5861*47309 + 1269804357 = 5*364872091
 23.   2*5861*47309 + 1280657439 = 8573*214069
 24.   2*5861*47309 + 1280965347 = 5*367104289
 25.   2*5861*47309 + 1284965307 = 5*367904281
 26.   2*5861*47309 + 1285904637 = 5*368092147
 27.   2*5861*47309 + 1296473805 = 23*80479561
 28.   2*5861*47309 + 1298536047 = 5*370618429
 29.   2*5861*47309 + 1298650347 = 5*370641289
 30.   2*5861*47309 + 1298653047 = 5*370641829
 31.   2*5861*47309 + 1302856947 = 5*371482609
 32.   2*5861*47309 + 1308247695 = 643*2897051
 33.   2*5861*47309 + 1326085947 = 5*376128409
 34.   2*5861*47309 + 1329468507 = 5*376804921
 35.   2*5861*47309 + 1329658407 = 5*376842901
 36.   2*5861*47309 + 1348650297 = 5*380641279
 37.   2*5861*47309 + 1348690257 = 5*380649271
 38.   2*5861*47309 + 1348906257 = 5*380692471
 39.   2*5861*47309 + 1350264987 = 5*380964217
 40.   2*5861*47309 + 1359248607 = 5*382760941
 41.   2*5861*47309 + 1365084279 = 41*89*526073
 42.   2*5861*47309 + 1368490257 = 5*384609271
 43.   2*5861*47309 + 1369248507 = 5*384760921
 44.   2*5861*47309 + 1397048652 = 2*5^3*7806419
 45.   2*5861*47309 + 1398276405 = 23*84905761
 46.   2*5861*47309 + 1406285937 = 5*392168407
 47.   2*5861*47309 + 1406982753 = 41*53*902687
 48.   2*5861*47309 + 1428965307 = 5*396704281
 49.   2*5861*47309 + 1429308567 = 5*971*408623
 50.   2*5861*47309 + 1430872569 = 283*7015649
 51.   2*5861*47309 + 1457608239 = 31*64908527
 52.   2*5861*47309 + 1463825079 = 6547*308291
 53.   2*5861*47309 + 1463850297 = 5*403681279
 54.   2*5861*47309 + 1465703829 = 7*43^2*156089
 55.   2*5861*47309 + 1489263507 = 5*408763921
 56.   2*5861*47309 + 1493850267 = 5*409681273
 57.   2*5861*47309 + 1508463297 = 5*412603879
 58.   2*5861*47309 + 1508632947 = 5*412637809
 59.   2*5861*47309 + 1508962347 = 5*412703689
 60.   2*5861*47309 + 1526493087 = 5*416209837
 61.   2*5861*47309 + 1529608437 = 5*416832907
 62.   2*5861*47309 + 1529670483 = 23*90618547
 63.   2*5861*47309 + 1536824097 = 5*418276039
 64.   2*5861*47309 + 1538604297 = 5*418632079
 65.   2*5861*47309 + 1538960247 = 5*418703269
 66.   2*5861*47309 + 1548603297 = 5*420631879
 67.   2*5861*47309 + 1564839207 = 5*423879061
 68.   2*5861*47309 + 1582036947 = 5*427318609
 69.   2*5861*47309 + 1586290437 = 5*428169307
 70.   2*5861*47309 + 1589263407 = 5*428763901
 71.   2*5861*47309 + 1594726083 = 40693*52817
 72.   2*5861*47309 + 1596328047 = 5*430176829
 73.   2*5861*47309 + 1596802347 = 5*430271689
 74.   2*5861*47309 + 1603582947 = 5*431627809
 75.   2*5861*47309 + 1604895237 = 5*431890267
 76.   2*5861*47309 + 1605983247 = 5*432107869
 77.   2*5861*47309 + 1608453297 = 5*432601879
 78.   2*5861*47309 + 1608493257 = 5*432609871
 79.   2*5861*47309 + 1608534297 = 5*432618079
 80.   2*5861*47309 + 1608542937 = 5*432619807
 81.   2*5861*47309 + 1608953247 = 5*432701869
 82.   2*5861*47309 + 1609482357 = 5*432807691
 83.   2*5861*47309 + 1609824357 = 5*432876091
 84.   2*5861*47309 + 1624879305 = 23*94758061
 85.   2*5861*47309 + 1628950347 = 5*436701289
 86.   2*5861*47309 + 1628953047 = 5*436701829
 87.   2*5861*47309 + 1629504387 = 5*436812097
 88.   2*5861*47309 + 1629804357 = 5*436872091
 89.   2*5861*47309 + 1638450297 = 5*438601279
 90.   2*5861*47309 + 1638904257 = 5*438692071
 91.   2*5861*47309 + 1638952047 = 5*438701629
 92.   2*5861*47309 + 1639248507 = 5*438760921
 93.   2*5861*47309 + 1639258407 = 5*438762901
 94.   2*5861*47309 + 1652347089 = 41*53826907
 95.   2*5861*47309 + 1672483905 = 41809*53267
 96.   2*5861*47309 + 1690378245 = 23*97605841
 97.   2*5861*47309 + 1690438275 = 23*97608451
 98.   2*5861*47309 + 1708695423 = 467*821*5903
 99.   2*5861*47309 + 1728694305 = 7^2*83*561409
100.   2*5861*47309 + 1728906345 = 67*34081529
101.   2*5861*47309 + 1803526749 = 26347*89501
102.   2*5861*47309 + 1806259347 = 5*472163089
103.   2*5861*47309 + 1806359247 = 5*472183069
104.   2*5861*47309 + 1824097635 = 29453*80761
105.   2*5861*47309 + 1826950347 = 5*476301289
106.   2*5861*47309 + 1829460357 = 5*476803291
107.   2*5861*47309 + 1829504367 = 5*476812093
108.   2*5861*47309 + 1829563407 = 5*476823901
109.   2*5861*47309 + 1836254097 = 5*478162039
110.   2*5861*47309 + 1836509247 = 5*478213069
111.   2*5861*47309 + 1836924057 = 5*478296031
112.   2*5861*47309 + 1842356907 = 5*479382601
113.   2*5861*47309 + 1843072659 = 409*5862173
114.   2*5861*47309 + 1846325097 = 5*480176239
115.   2*5861*47309 + 1849052367 = 5*480721693
116.   2*5861*47309 + 1849250367 = 5*480761293
117.   2*5861*47309 + 1849260357 = 5*480763291
118.   2*5861*47309 + 1850324967 = 5*480976213
119.   2*5861*47309 + 1850472369 = 563*4271809
120.   2*5861*47309 + 1853904267 = 5*481692073
121.   2*5861*47309 + 1853960247 = 5*481703269
122.   2*5861*47309 + 1856409237 = 5*482193067
123.   2*5861*47309 + 1859024367 = 5*482716093
124.   2*5861*47309 + 1864395207 = 5*483790261
125.   2*5861*47309 + 1865024937 = 5*483916207
126.   2*5861*47309 + 1867245309 = 41*59068327
127.   2*5861*47309 + 1893460257 = 5*489603271
128.   2*5861*47309 + 1893504267 = 5*489612073
129.   2*5861*47309 + 1908463257 = 5*492603871
130.   2*5861*47309 + 1926835407 = 5*496278301
131.   2*5861*47309 + 1936482057 = 5*498207631
132.   2*5861*47309 + 1938460257 = 5*498603271
133.   2*5861*47309 + 1938504267 = 5*498612073
134.   2*5861*47309 + 1952843607 = 5*83*6041927
135.   2*5861*47309 + 1968032475 = 941*2680753
136.   2*5861*47309 + 2018395467 = 5*641*802793
137.   2*5861*47309 + 2045916837 = 5*8429*61703
138.   2*5861*47309 + 2147683095 = 41*65908273
139.   2*5861*47309 + 2193486075 = 401*6852973
140.   2*5861*47309 + 2307458619 = 41*69805237
141.   2*5861*47309 + 2310648759 = 53*89*607421
142.   2*5861*47309 + 2371084965 = 401*7295863
143.   2*5861*47309 + 2380954167 = 5*71*8269043
144.   2*5861*47309 + 2385910467 = 5*9473*62081
145.   2*5861*47309 + 2389750461 = 59*83*601247
146.   2*5861*47309 + 2390458617 = 5*83*7096421
147.   2*5861*47309 + 2405367189 = 491*6028357
148.   2*5861*47309 + 2419563087 = 5*8423*70619
149.   2*5861*47309 + 2451683097 = 5*601247839
150.   2*5861*47309 + 2451936087 = 5*601298437
151.   2*5861*47309 + 2467851039 = 4801*629537
152.   2*5861*47309 + 2468739105 = 67*45123809
153.   2*5861*47309 + 2469803517 = 5*604871923
154.   2*5861*47309 + 2481653097 = 5*607241839
155.   2*5861*47309 + 2481693057 = 5*607249831
156.   2*5861*47309 + 2481936057 = 5*607298431
157.   2*5861*47309 + 2486190537 = 5*608149327
158.   2*5861*47309 + 2486315097 = 5*608174239
159.   2*5861*47309 + 2489051367 = 5*608721493
160.   2*5861*47309 + 2489061357 = 5*608723491
161.   2*5861*47309 + 2491683057 = 5*609247831
162.   2*5861*47309 + 2508764931 = 761*4025389
163.   2*5861*47309 + 2509184367 = 5*612748093
164.   2*5861*47309 + 2516809347 = 5*614273089
165.   2*5861*47309 + 2516890437 = 5*614289307
166.   2*5861*47309 + 2516980347 = 5*614307289
167.   2*5861*47309 + 2519460387 = 5*614803297
168.   2*5861*47309 + 2531486097 = 5*617208439
169.   2*5861*47309 + 2531846097 = 5*617280439
170.   2*5861*47309 + 2531864097 = 5*617284039
171.   2*5861*47309 + 2531986047 = 5*617308429
172.   2*5861*47309 + 2534968017 = 5*617904823
173.   2*5861*47309 + 2539068417 = 5*618724903
174.   2*5861*47309 + 2546193087 = 5*620149837
175.   2*5861*47309 + 2546307891 = 41*75630829
176.   2*5861*47309 + 2549018367 = 5*620714893
177.   2*5861*47309 + 2569038417 = 5*624718903
178.   2*5861*47309 + 2569138407 = 5*624738901
179.   2*5861*47309 + 2580961347 = 5*627103489
180.   2*5861*47309 + 2581360947 = 5*627183409
181.   2*5861*47309 + 2581634079 = 6521*480937
182.   2*5861*47309 + 2586130947 = 5*628137409
183.   2*5861*47309 + 2586430917 = 5*628197403
184.   2*5861*47309 + 2596081347 = 5*630127489
185.   2*5861*47309 + 2596803147 = 5*630271849
186.   2*5861*47309 + 2603958147 = 5*631702849
187.   2*5861*47309 + 2604958137 = 5*631902847
188.   2*5861*47309 + 2609184357 = 5*632748091
189.   2*5861*47309 + 2610345987 = 5*632980417
190.   2*5861*47309 + 2618345079 = 50891*62347
191.   2*5861*47309 + 2619508437 = 5*634812907
192.   2*5861*47309 + 2619583407 = 5*634827901
193.   2*5861*47309 + 2631085947 = 5*637128409
194.   2*5861*47309 + 2634589107 = 5*637829041
195.   2*5861*47309 + 2634985107 = 5*637908241
196.   2*5861*47309 + 2639158407 = 5*638742901
197.   2*5861*47309 + 2640985137 = 5*639108247
198.   2*5861*47309 + 2641850937 = 5*639281407
199.   2*5861*47309 + 2643985107 = 5*639708241
200.   2*5861*47309 + 2649108357 = 5*640732891
201.   2*5861*47309 + 2649510387 = 5*640813297
202.   2*5861*47309 + 2649813507 = 5*640873921
203.   2*5861*47309 + 2651834097 = 5*641278039
204.   2*5861*47309 + 2651934087 = 5*641298037
205.   2*5861*47309 + 2651983047 = 5*641307829
206.   2*5861*47309 + 2654089317 = 5*641729083
207.   2*5861*47309 + 2659874301 = 859*3742061
208.   2*5861*47309 + 2670189345 = 67*48130529
209.   2*5861*47309 + 2674190853 = 67*48190253
210.   2*5861*47309 + 2681509347 = 5*647213089
211.   2*5861*47309 + 2681934057 = 5*647298031
212.   2*5861*47309 + 2684953017 = 5*647901823
213.   2*5861*47309 + 2685049317 = 5*647921083
214.   2*5861*47309 + 2685134907 = 5*647938201
215.   2*5861*47309 + 2685349017 = 5*647981023
216.   2*5861*47309 + 2691085437 = 5*649128307
217.   2*5861*47309 + 2719304685 = 41*79850263
218.   2*5861*47309 + 2781543609 = 409*8156723
219.   2*5861*47309 + 2805934617 = 5*672098143
220.   2*5861*47309 + 2805961347 = 5*672103489
221.   2*5861*47309 + 2809653417 = 5*672841903
222.   2*5861*47309 + 2813045967 = 5*71*9486203
223.   2*5861*47309 + 2816059347 = 5*674123089
224.   2*5861*47309 + 2816453097 = 5*674201839
225.   2*5861*47309 + 2816935407 = 5*674298301
226.   2*5861*47309 + 2816953047 = 5*674301829
227.   2*5861*47309 + 2819563407 = 5*674823901
228.   2*5861*47309 + 2836159047 = 5*678143029
229.   2*5861*47309 + 2836491057 = 5*678209431
230.   2*5861*47309 + 2836510947 = 5*678213409
231.   2*5861*47309 + 2836950147 = 5*678301249
232.   2*5861*47309 + 2841596307 = 5*679230481
233.   2*5861*47309 + 2849106357 = 5*680732491
234.   2*5861*47309 + 2851673049 = 67*50839241
235.   2*5861*47309 + 2854961037 = 5*681903427
236.   2*5861*47309 + 2856309147 = 5*682173049
237.   2*5861*47309 + 2856314097 = 5*682174039
238.   2*5861*47309 + 2861305947 = 5*683172409
239.   2*5861*47309 + 2865014937 = 5*683914207
240.   2*5861*47309 + 2865049137 = 5*683921047
241.   2*5861*47309 + 2865314907 = 5*683974201
242.   2*5861*47309 + 2891650437 = 5*689241307
243.   2*5861*47309 + 2910854637 = 5*693082147
244.   2*5861*47309 + 2930564817 = 5*697024183
245.   2*5861*47309 + 2930684517 = 5*697048123
246.   2*5861*47309 + 2930854617 = 5*697082143
247.   2*5861*47309 + 2931485607 = 5*697208341
248.   2*5861*47309 + 2931486057 = 5*697208431
249.   2*5861*47309 + 2931845607 = 5*697280341
250.   2*5861*47309 + 2931846057 = 5*697280431
251.   2*5861*47309 + 2934061785 = 419*8326057
252.   2*5861*47309 + 2935804617 = 5*698072143
253.   2*5861*47309 + 2936154087 = 5*698142037
254.   2*5861*47309 + 2936481057 = 5*698207431
255.   2*5861*47309 + 2936514087 = 5*698214037
256.   2*5861*47309 + 2956841073 = 67*52408913
257.   2*5861*47309 + 2958603147 = 5*702631849
258.   2*5861*47309 + 2963850147 = 5*703681249
259.   2*5861*47309 + 3026574891 = 57389*62401
260.   2*5861*47309 + 3026958147 = 5*716302849
261.   2*5861*47309 + 3026985147 = 5*716308249
262.   2*5861*47309 + 3029468517 = 5*716804923
263.   2*5861*47309 + 3054986217 = 5*721908463
264.   2*5861*47309 + 3056498721 = 571*6324089
265.   2*5861*47309 + 3057426819 = 463*7801259
266.   2*5861*47309 + 3065924817 = 5*724096183
267.   2*5861*47309 + 3069528417 = 5*724816903
268.   2*5861*47309 + 3085961247 = 5*728103469
269.   2*5861*47309 + 3086952147 = 5*728301649
270.   2*5861*47309 + 3096158247 = 5*730142869
271.   2*5861*47309 + 3096528147 = 5*730216849
272.   2*5861*47309 + 3105247689 = 41*89263507
273.   2*5861*47309 + 3125968047 = 5*736104829
274.   2*5861*47309 + 3129648507 = 5*736840921
275.   2*5861*47309 + 3145027869 = 59*62704813
276.   2*5861*47309 + 3146258709 = 769*4812503
277.   2*5861*47309 + 3146852097 = 5*740281639
278.   2*5861*47309 + 3146892057 = 5*740289631
279.   2*5861*47309 + 3149680527 = 5^3*617*48029
280.   2*5861*47309 + 3158602947 = 5*742631809
281.   2*5861*47309 + 3160985247 = 5*743108269
282.   2*5861*47309 + 3164589207 = 5*743829061
283.   2*5861*47309 + 3186452097 = 5*748201639
284.   2*5861*47309 + 3186950247 = 5*748301269
285.   2*5861*47309 + 3198072465 = 57803*64921
286.   2*5861*47309 + 3250184967 = 5*760948213
287.   2*5861*47309 + 3251648097 = 5*761240839
288.   2*5861*47309 + 3251684097 = 5*761248039
289.   2*5861*47309 + 3254986017 = 5*761908423
290.   2*5861*47309 + 3260958147 = 5*763102849
291.   2*5861*47309 + 3260985147 = 5*763108249
292.   2*5861*47309 + 3261085947 = 5*763128409
293.   2*5861*47309 + 3264589107 = 5*763829041
294.   2*5861*47309 + 3264895107 = 5*763890241
295.   2*5861*47309 + 3286514097 = 5*768214039
296.   2*5861*47309 + 3286914057 = 5*768294031
297.   2*5861*47309 + 3286915407 = 5*768294301
298.   2*5861*47309 + 3290864517 = 5*769084123
299.   2*5861*47309 + 3291648057 = 5*769240831
300.   2*5861*47309 + 3291685407 = 5*769248301
301.   2*5861*47309 + 3416985207 = 5*794308261
302.   2*5861*47309 + 3418562907 = 5*794623801
303.   2*5861*47309 + 3425968017 = 5*796104823
304.   2*5861*47309 + 3426958107 = 5*796302841
305.   2*5861*47309 + 3456182097 = 5*802147639
306.   2*5861*47309 + 3456192087 = 5*802149637
307.   2*5861*47309 + 3481256097 = 5*807162439
308.   2*5861*47309 + 3481692057 = 5*807249631
309.   2*5861*47309 + 3491682057 = 5*809247631
310.   2*5861*47309 + 3491825607 = 5*809276341
311.   2*5861*47309 + 3491826057 = 5*809276431
312.   2*5861*47309 + 3508614297 = 5*812634079
313.   2*5861*47309 + 3508914267 = 5*812694073
314.   2*5861*47309 + 3516982047 = 5*814307629
315.   2*5861*47309 + 3518470269 = 56489*72103
316.   2*5861*47309 + 3518604297 = 5*814632079
317.   2*5861*47309 + 3526481097 = 5*816207439
318.   2*5861*47309 + 3549128607 = 5*820736941
319.   2*5861*47309 + 3560981247 = 5*823107469
320.   2*5861*47309 + 3561280947 = 5*823167409
321.   2*5861*47309 + 3564982107 = 5*823907641
322.   2*5861*47309 + 3580961247 = 5*827103469
323.   2*5861*47309 + 3581260947 = 5*827163409
324.   2*5861*47309 + 3584962107 = 5*827903641
325.   2*5861*47309 + 3596081247 = 5*830127469
326.   2*5861*47309 + 3596842107 = 5*830279641
327.   2*5861*47309 + 3619248507 = 5*834760921
328.   2*5861*47309 + 3625980147 = 5*836107249
329.   2*5861*47309 + 3625981047 = 5*836107429
330.   2*5861*47309 + 3628950147 = 5*836701249
331.   2*5861*47309 + 3629148507 = 5*836740921
332.   2*5861*47309 + 3642581907 = 5*839427601
333.   2*5861*47309 + 3651482097 = 5*841207639
334.   2*5861*47309 + 3651824097 = 5*841276039
335.   2*5861*47309 + 3654982017 = 5*841907623
336.   2*5861*47309 + 3674801259 = 59*71684023
337.   2*5861*47309 + 3678102945 = 5801*729643
338.   2*5861*47309 + 3680924517 = 5*847096123
339.   2*5861*47309 + 3681095247 = 5*847130269
340.   2*5861*47309 + 3681925407 = 5*847296301
341.   2*5861*47309 + 3681952047 = 5*847301629
342.   2*5861*47309 + 3691524087 = 5*849216037
343.   2*5861*47309 + 3691825407 = 5*849276301
344.   2*5861*47309 + 3718405629 = 8627*495301
345.   2*5861*47309 + 3801596247 = 5*871230469
346.   2*5861*47309 + 3801625947 = 5*871236409
347.   2*5861*47309 + 3806259147 = 5*872163049
348.   2*5861*47309 + 3816245097 = 5*874160239
349.   2*5861*47309 + 3816259047 = 5*874163029
350.   2*5861*47309 + 3816452097 = 5*874201639
351.   2*5861*47309 + 3816950247 = 5*874301269
352.   2*5861*47309 + 3825904617 = 5*876092143
353.   2*5861*47309 + 3826451097 = 5*876201439
354.   2*5861*47309 + 3826510947 = 5*876213409
355.   2*5861*47309 + 3850417269 = 563*7824109
356.   2*5861*47309 + 3872605491 = 62851*70439
357.   2*5861*47309 + 3908461257 = 5*892603471
358.   2*5861*47309 + 3916254087 = 5*894162037
359.   2*5861*47309 + 3926451087 = 5*896201437
360.   2*5861*47309 + 3954286017 = 5*901768423
361.   2*5861*47309 + 3954806217 = 5*901872463
362.   2*5861*47309 + 3964258107 = 5*903762841
363.   2*5861*47309 + 3964581207 = 5*903827461
364.   2*5861*47309 + 3984561207 = 5*907823461
365.   2*5861*47309 + 3984615207 = 5*907834261
366.   2*5861*47309 + 4032895671 = 6521*703489
367.   2*5861*47309 + 4052836917 = 5*921478603
368.   2*5861*47309 + 4058127639 = 823*5604719
369.   2*5861*47309 + 4068953217 = 5*924701863
370.   2*5861*47309 + 4076859231 = 53401*86729
371.   2*5861*47309 + 4082536917 = 5*927418603
372.   2*5861*47309 + 4086951237 = 5*928301467
373.   2*5861*47309 + 4096285137 = 5*930168247
374.   2*5861*47309 + 4098713625 = 48623*95701
375.   2*5861*47309 + 4105968237 = 5*932104867
376.   2*5861*47309 + 4158629307 = 5*942637081
377.   2*5861*47309 + 4158962307 = 5*942703681
378.   2*5861*47309 + 4160985237 = 5*943108267
379.   2*5861*47309 + 4172905683 = 7*109^2*56843
380.   2*5861*47309 + 4210367859 = 59*80761423
381.   2*5861*47309 + 4216895703 = 9203*518467
382.   2*5861*47309 + 4256098137 = 5*962130847
383.   2*5861*47309 + 4263985107 = 5*963708241
384.   2*5861*47309 + 4280956317 = 5*967102483
385.   2*5861*47309 + 4281635907 = 5*967238401
386.   2*5861*47309 + 4281965307 = 5*967304281
387.   2*5861*47309 + 4286059137 = 5*968123047
388.   2*5861*47309 + 4286159037 = 5*968143027
389.   2*5861*47309 + 4286950137 = 5*968301247
390.   2*5861*47309 + 4293761085 = 9643*502781
391.   2*5861*47309 + 4298561307 = 5*970623481
392.   2*5861*47309 + 4316598207 = 5*974230861
393.   2*5861*47309 + 4316859207 = 5*974283061
394.   2*5861*47309 + 4326850917 = 5*976281403
395.   2*5861*47309 + 4326958107 = 5*976302841
396.   2*5861*47309 + 4358962107 = 5*982703641
397.   2*5861*47309 + 4361825907 = 5*983276401
398.   2*5861*47309 + 4365982017 = 5*984107623
399.   2*5861*47309 + 4368952017 = 5*984701623
400.   2*5861*47309 + 4381625907 = 5*987236401
401.   2*5861*47309 + 4381965207 = 5*987304261
402.   2*5861*47309 + 4382561907 = 5*987423601
403.   2*5861*47309 + 4582693017 = 5*103^2*96847
404.   2*5861*47309 + 4620378591 = 859*6024371
405.   2*5861*47309 + 4816072395 = 6547*820319
406.   2*5861*47309 + 4832795061 = 6359*847201
407.   2*5861*47309 + 4837125609 = 6719*802453
408.   2*5861*47309 + 4965218073 = 563*9804217
409.   2*5861*47309 + 5173428069 = 67*85492301
410.   2*5861*47309 + 5218046739 = 859*6720143
411.   2*5861*47309 + 5703416829 = 67*93402581
412.   2*5861*47309 + 5762408319 = 67*94283051
413.   2*5861*47309 + 6230871945 = 79601*85243
414.   2*5861*47309 + 7023568149 = 941*8053267

Next I calculated a table of all possible PFIs that result from the subtraction of pandigital numbers from a given PFI:


This graph shows (again) the number of solutions for the smallest 431285 PFIs. The largest number of solutions is 575 for PFI #301365, which is 8283333125 or 5^4*1609*8237:

  1.   5^4*1609*8237 - 8197423605 = 2^4*5*1073869
  2.   5^4*1609*8237 - 8137426590 = 5*2789*10463
  3.   5^4*1609*8237 - 8136720459 = 2*4637*15809
  4.   5^4*1609*8237 - 8127509346 = 59*107*24683
  5.   5^4*1609*8237 - 8124903765 = 2^4*5*1980367
  6.   5^4*1609*8237 - 8109472635 = 2*5*17386049
  7.   5^4*1609*8237 - 8109264735 = 2*5*17406839
  8.   5^4*1609*8237 - 8104723695 = 2*5*17860943
  9.   5^4*1609*8237 - 8103724695 = 2*5*17960843
 10.   5^4*1609*8237 - 8103624759 = 2*167*538049
 11.   5^4*1609*8237 - 8096254731 = 2*173*540689
 12.   5^4*1609*8237 - 8057142936 = 83*107*25469
 13.   5^4*1609*8237 - 8051964723 = 2*17*6804953
 14.   5^4*1609*8237 - 8026579431 = 2*83*1546709
 15.   5^4*1609*8237 - 8025471639 = 2*149*865307
 16.   5^4*1609*8237 - 7980651324 = 283*1069547
 17.   5^4*1609*8237 - 7962401358 = 13*24687059
 18.   5^4*1609*8237 - 7946052183 = 2*197*856043
 19.   5^4*1609*8237 - 7942506183 = 2*197*865043
 20.   5^4*1609*8237 - 7934502186 = 17*2543*8069
 21.   5^4*1609*8237 - 7920348156 = 17*53*402869
 22.   5^4*1609*8237 - 7916084532 = 14639*25087
 23.   5^4*1609*8237 - 7908426315 = 2*5*37490681
 24.   5^4*1609*8237 - 7902861435 = 2*5*38047169
 25.   5^4*1609*8237 - 7901628435 = 2*5*38170469
 26.   5^4*1609*8237 - 7895130462 = 149*2605387
 27.   5^4*1609*8237 - 7865043219 = 2*5417*38609
 28.   5^4*1609*8237 - 7861930524 = 157*2684093
 29.   5^4*1609*8237 - 7854312096 = 47*89*102563
 30.   5^4*1609*8237 - 7845629310 = 5*29*3018647
 31.   5^4*1609*8237 - 7829051364 = 2903*156487
 32.   5^4*1609*8237 - 7821946035 = 2*5*46138709
 33.   5^4*1609*8237 - 7819462035 = 2*5*46387109
 34.   5^4*1609*8237 - 7815649320 = 5*1487*62903
 35.   5^4*1609*8237 - 7813256940 = 5*23*4087619
 36.   5^4*1609*8237 - 7809642315 = 2*5*47369081
 37.   5^4*1609*8237 - 7804316295 = 2*5*47901683
 38.   5^4*1609*8237 - 7804269315 = 2*5*47906381
 39.   5^4*1609*8237 - 7802963415 = 2*5*48036971
 40.   5^4*1609*8237 - 7802693415 = 2*5*48063971
 41.   5^4*1609*8237 - 7802619435 = 2*5*48071369
 42.   5^4*1609*8237 - 7802613495 = 2*5*48071963
 43.   5^4*1609*8237 - 7802396415 = 2*5*48093671
 44.   5^4*1609*8237 - 7802369415 = 2*5*48096371
 45.   5^4*1609*8237 - 7801426395 = 2*5*48190673
 46.   5^4*1609*8237 - 7801362495 = 2*5*48197063
 47.   5^4*1609*8237 - 7692381045 = 2^4*5*7386901
 48.   5^4*1609*8237 - 7659428310 = 5*124780963
 49.   5^4*1609*8237 - 7652941380 = 5*126078349
 50.   5^4*1609*8237 - 7652843910 = 5*126097843
 51.   5^4*1609*8237 - 7645931280 = 5*127480369
 52.   5^4*1609*8237 - 7645928310 = 5*127480963
 53.   5^4*1609*8237 - 7645283910 = 5*127609843
 54.   5^4*1609*8237 - 7643528910 = 5*127960843
 55.   5^4*1609*8237 - 7643158290 = 5*128034967
 56.   5^4*1609*8237 - 7642958310 = 5*128074963
 57.   5^4*1609*8237 - 7638512940 = 5*128964037
 58.   5^4*1609*8237 - 7625941380 = 5*41*3206789
 59.   5^4*1609*8237 - 7618492053 = 2^4*7*5936081
 60.   5^4*1609*8237 - 7614852930 = 5*41*3260879
 61.   5^4*1609*8237 - 7614502983 = 2*6803*49157
 62.   5^4*1609*8237 - 7612953840 = 5*461*290837
 63.   5^4*1609*8237 - 7610289354 = 157*4286903
 64.   5^4*1609*8237 - 7609428315 = 2*5*67390481
 65.   5^4*1609*8237 - 7604392815 = 2*5*67894031
 66.   5^4*1609*8237 - 7604298315 = 2*5*67903481
 67.   5^4*1609*8237 - 7602841395 = 2*5*68049173
 68.   5^4*1609*8237 - 7596403128 = 13*52840769
 69.   5^4*1609*8237 - 7596314280 = 5*29*4738061
 70.   5^4*1609*8237 - 7596314208 = 13*52847609
 71.   5^4*1609*8237 - 7594012368 = 479*503*2861
 72.   5^4*1609*8237 - 7593684120 = 5*683*201947
 73.   5^4*1609*8237 - 7589361240 = 5*29*4786013
 74.   5^4*1609*8237 - 7584901632 = 139*5024687
 75.   5^4*1609*8237 - 7583190246 = 47*53*281069
 76.   5^4*1609*8237 - 7582139640 = 5*140238697
 77.   5^4*1609*8237 - 7569342810 = 5*142798063
 78.   5^4*1609*8237 - 7569314280 = 5*142803769
 79.   5^4*1609*8237 - 7562304981 = 2^4*59*763801
 80.   5^4*1609*8237 - 7548069312 = 157*4683209
 81.   5^4*1609*8237 - 7546928310 = 5*147280963
 82.   5^4*1609*8237 - 7542968310 = 5*148072963
 83.   5^4*1609*8237 - 7542936810 = 5*148079263
 84.   5^4*1609*8237 - 7542608391 = 2*587*630941
 85.   5^4*1609*8237 - 7542139608 = 1823*406579
 86.   5^4*1609*8237 - 7541963028 = 13*57028469
 87.   5^4*1609*8237 - 7541386902 = 18257*40639
 88.   5^4*1609*8237 - 7538214690 = 5*149023687
 89.   5^4*1609*8237 - 7534692810 = 5*149728063
 90.   5^4*1609*8237 - 7534296810 = 5*149807263
 91.   5^4*1609*8237 - 7531409628 = 13*57840269
 92.   5^4*1609*8237 - 7519408263 = 2*83*4601957
 93.   5^4*1609*8237 - 7518034296 = 31*24687059
 94.   5^4*1609*8237 - 7509463128 = 6053*127849
 95.   5^4*1609*8237 - 7496513820 = 5*23*6841907
 96.   5^4*1609*8237 - 7490286315 = 2*5*79304681
 97.   5^4*1609*8237 - 7490268315 = 2*5*79306481
 98.   5^4*1609*8237 - 7469280351 = 2*587*693401
 99.   5^4*1609*8237 - 7465932810 = 5*239*684017
100.   5^4*1609*8237 - 7462938510 = 5*164078923
101.   5^4*1609*8237 - 7462153890 = 5*23*7140689
102.   5^4*1609*8237 - 7438621590 = 5*168942307
103.   5^4*1609*8237 - 7436815092 = 29*857*34061
104.   5^4*1609*8237 - 7435916820 = 5*83*2041967
105.   5^4*1609*8237 - 7432159680 = 5*170234689
106.   5^4*1609*8237 - 7421836095 = 2*5*86149703
107.   5^4*1609*8237 - 7419862035 = 2*5*86347109
108.   5^4*1609*8237 - 7419825630 = 5*2069*83471
109.   5^4*1609*8237 - 7412935860 = 5*2069*84137
110.   5^4*1609*8237 - 7409623158 = 13*67208459
111.   5^4*1609*8237 - 7409563182 = 347*2518069
112.   5^4*1609*8237 - 7409263815 = 2*5*87406931
113.   5^4*1609*8237 - 7406392815 = 2*5*87694031
114.   5^4*1609*8237 - 7406135982 = 47*569*32801
115.   5^4*1609*8237 - 7403926815 = 2*5*87940631
116.   5^4*1609*8237 - 7403851926 = 23*59*648107
117.   5^4*1609*8237 - 7392615408 = 8429*105673
118.   5^4*1609*8237 - 7391504862 = 167*5340289
119.   5^4*1609*8237 - 7369251408 = 31*29486507
120.   5^4*1609*8237 - 7368512940 = 5*182964037
121.   5^4*1609*8237 - 7365129480 = 5*183640729
122.   5^4*1609*8237 - 7362951480 = 5*184076329
123.   5^4*1609*8237 - 7362851490 = 5*184096327
124.   5^4*1609*8237 - 7362149580 = 5*184236709
125.   5^4*1609*8237 - 7362148590 = 5*184236907
126.   5^4*1609*8237 - 7361852940 = 5*184296037
127.   5^4*1609*8237 - 7361528490 = 5*184360927
128.   5^4*1609*8237 - 7358204196 = 269*857*4013
129.   5^4*1609*8237 - 7352869410 = 5*186092743
130.   5^4*1609*8237 - 7352861490 = 5*186094327
131.   5^4*1609*8237 - 7352846910 = 5*186097243
132.   5^4*1609*8237 - 7351462980 = 5*186374029
133.   5^4*1609*8237 - 7348629510 = 5*186940723
134.   5^4*1609*8237 - 7346051982 = 1607*583249
135.   5^4*1609*8237 - 7345890126 = 3461*270859
136.   5^4*1609*8237 - 7345286910 = 5*187609243
137.   5^4*1609*8237 - 7340895162 = 149*6325087
138.   5^4*1609*8237 - 7309681542 = 167*5830249
139.   5^4*1609*8237 - 7304692815 = 2*5*97864031
140.   5^4*1609*8237 - 7268059134 = 193*5260487
141.   5^4*1609*8237 - 7235910468 = 1453*720869
142.   5^4*1609*8237 - 7231598640 = 5*210346897
143.   5^4*1609*8237 - 7231485690 = 5*210369487
144.   5^4*1609*8237 - 7213945860 = 5*6287*34019
145.   5^4*1609*8237 - 7198235460 = 5*293*740681
146.   5^4*1609*8237 - 7194835206 = 29*647*58013
147.   5^4*1609*8237 - 7190645238 = 23*47508169
148.   5^4*1609*8237 - 7190354628 = 13*84075269
149.   5^4*1609*8237 - 7162089534 = 13*86249507
150.   5^4*1609*8237 - 7132495680 = 5*230167489
151.   5^4*1609*8237 - 7132459680 = 5*230174689
152.   5^4*1609*8237 - 7123904658 = 269*743*5801
153.   5^4*1609*8237 - 7096584312 = 41*359*80627
154.   5^4*1609*8237 - 7065149328 = 59*20647183
155.   5^4*1609*8237 - 7058439612 = 59*3041*6827
156.   5^4*1609*8237 - 7051942863 = 2*683*901457
157.   5^4*1609*8237 - 7039216854 = 1543*806297
158.   5^4*1609*8237 - 7032691584 = 19^2*43*80567
159.   5^4*1609*8237 - 7028951364 = 643*1950827
160.   5^4*1609*8237 - 7015429368 = 859*1476023
161.   5^4*1609*8237 - 6982415730 = 5*260183479
162.   5^4*1609*8237 - 6981345720 = 5*260397481
163.   5^4*1609*8237 - 6975301482 = 23*56870941
164.   5^4*1609*8237 - 6948135720 = 5*267039481
165.   5^4*1609*8237 - 6943825710 = 5*267901483
166.   5^4*1609*8237 - 6943815720 = 5*267903481
167.   5^4*1609*8237 - 6934815720 = 5*269703481
168.   5^4*1609*8237 - 6931485720 = 5*270369481
169.   5^4*1609*8237 - 6930258471 = 2*89*7601543
170.   5^4*1609*8237 - 6921570384 = 1697*802453
171.   5^4*1609*8237 - 6915327048 = 5683*240719
172.   5^4*1609*8237 - 6914325780 = 5*89*3076421
173.   5^4*1609*8237 - 6879512430 = 5*280764139
174.   5^4*1609*8237 - 6879352410 = 5*280796143
175.   5^4*1609*8237 - 6875293410 = 5*281607943
176.   5^4*1609*8237 - 6874352910 = 5*281796043
177.   5^4*1609*8237 - 6873529410 = 5*281960743
178.   5^4*1609*8237 - 6873512940 = 5*281964037
179.   5^4*1609*8237 - 6859307124 = 293*4860157
180.   5^4*1609*8237 - 6852379410 = 5*286190743
181.   5^4*1609*8237 - 6851293470 = 5*286407931
182.   5^4*1609*8237 - 6851279430 = 5*286410739
183.   5^4*1609*8237 - 6849153270 = 5*47*6102893
184.   5^4*1609*8237 - 6847352910 = 5*287196043
185.   5^4*1609*8237 - 6845237910 = 5*287619043
186.   5^4*1609*8237 - 6843752910 = 5*287916043
187.   5^4*1609*8237 - 6843527910 = 5*287961043
188.   5^4*1609*8237 - 6843512970 = 5*287964031
189.   5^4*1609*8237 - 6842395710 = 5*41*7028963
190.   5^4*1609*8237 - 6841973052 = 89*647*25031
191.   5^4*1609*8237 - 6837512940 = 5*289164037
192.   5^4*1609*8237 - 6835279410 = 5*289610743
193.   5^4*1609*8237 - 6831425790 = 5*290381467
194.   5^4*1609*8237 - 6814325790 = 5*293801467
195.   5^4*1609*8237 - 6813947502 = 239*6148057
196.   5^4*1609*8237 - 6794315820 = 5*297803461
197.   5^4*1609*8237 - 6790431852 = 23*64908751
198.   5^4*1609*8237 - 6780324159 = 2*983*764501
199.   5^4*1609*8237 - 6759341820 = 5*304798261
200.   5^4*1609*8237 - 6758419320 = 5*304982761
201.   5^4*1609*8237 - 6751924380 = 5*306281749
202.   5^4*1609*8237 - 6751243980 = 5*306417829
203.   5^4*1609*8237 - 6743591820 = 5*307948261
204.   5^4*1609*8237 - 6739518420 = 5*308762941
205.   5^4*1609*8237 - 6738519420 = 5*308962741
206.   5^4*1609*8237 - 6738512490 = 5*308964127
207.   5^4*1609*8237 - 6735941820 = 5*309478261
208.   5^4*1609*8237 - 6735241890 = 5*309618247
209.   5^4*1609*8237 - 6715340928 = 4801*326597
210.   5^4*1609*8237 - 6708314952 = 23*68479051
211.   5^4*1609*8237 - 6582419730 = 5*340182679
212.   5^4*1609*8237 - 6579418320 = 5*340782961
213.   5^4*1609*8237 - 6579341820 = 5*340798261
214.   5^4*1609*8237 - 6549318270 = 5*346802971
215.   5^4*1609*8237 - 6549281730 = 5*346810279
216.   5^4*1609*8237 - 6548937120 = 5*346879201
217.   5^4*1609*8237 - 6547918320 = 5*347082961
218.   5^4*1609*8237 - 6543187290 = 5*348029167
219.   5^4*1609*8237 - 6542819730 = 5*348102679
220.   5^4*1609*8237 - 6539847120 = 5*348697201
221.   5^4*1609*8237 - 6539142870 = 5*4013*86927
222.   5^4*1609*8237 - 6538194720 = 5*349027681
223.   5^4*1609*8237 - 6514723890 = 5*83*4261709
224.   5^4*1609*8237 - 6482591730 = 5*360148279
225.   5^4*1609*8237 - 6481925730 = 5*360281479
226.   5^4*1609*8237 - 6473981052 = 859*2106347
227.   5^4*1609*8237 - 6439587120 = 5*368749201
228.   5^4*1609*8237 - 6439527108 = 23*80165479
229.   5^4*1609*8237 - 6438712590 = 5*368924107
230.   5^4*1609*8237 - 6431985720 = 5*370269481
231.   5^4*1609*8237 - 6429130875 = 2*5^3*7416809
232.   5^4*1609*8237 - 6412930875 = 2*5^3*7481609
233.   5^4*1609*8237 - 6379512480 = 5*380764129
234.   5^4*1609*8237 - 6379485210 = 5*41*9287063
235.   5^4*1609*8237 - 6378512490 = 5*380964127
236.   5^4*1609*8237 - 6378451920 = 5*380976241
237.   5^4*1609*8237 - 6378102594 = 2083*914657
238.   5^4*1609*8237 - 6374512980 = 5*381764029
239.   5^4*1609*8237 - 6371549028 = 67*28534091
240.   5^4*1609*8237 - 6371485290 = 5*41*9326087
241.   5^4*1609*8237 - 6371249580 = 5*382416709
242.   5^4*1609*8237 - 6359487120 = 5*384769201
243.   5^4*1609*8237 - 6358419072 = 653*2947801
244.   5^4*1609*8237 - 6351297480 = 5*386407129
245.   5^4*1609*8237 - 6351279480 = 5*386410729
246.   5^4*1609*8237 - 6351247980 = 5*386417029
247.   5^4*1609*8237 - 6351079248 = 503*821*4679
248.   5^4*1609*8237 - 6349107852 = 23*84096751
249.   5^4*1609*8237 - 6348712590 = 5*386924107
250.   5^4*1609*8237 - 6348597120 = 5*386947201
251.   5^4*1609*8237 - 6347891250 = 5^4*29*106783
252.   5^4*1609*8237 - 6345187920 = 5*387629041
253.   5^4*1609*8237 - 6345019278 = 3407*568921
254.   5^4*1609*8237 - 6342157908 = 41*6029*7853
255.   5^4*1609*8237 - 6312805974 = 67*29410853
256.   5^4*1609*8237 - 6310759482 = 5107*386249
257.   5^4*1609*8237 - 6274839510 = 5*401698723
258.   5^4*1609*8237 - 6274513980 = 5*401763829
259.   5^4*1609*8237 - 6273849510 = 5*401896723
260.   5^4*1609*8237 - 6251897430 = 5*406287139
261.   5^4*1609*8237 - 6247518930 = 5*407162839
262.   5^4*1609*8237 - 6247513980 = 5*407163829
263.   5^4*1609*8237 - 6243851970 = 5*407896231
264.   5^4*1609*8237 - 6243518970 = 5*407962831
265.   5^4*1609*8237 - 6239847510 = 5*408697123
266.   5^4*1609*8237 - 6239517480 = 5*408763129
267.   5^4*1609*8237 - 6238751940 = 5*408916237
268.   5^4*1609*8237 - 6238451970 = 5*408976231
269.   5^4*1609*8237 - 6237518940 = 5*409162837
270.   5^4*1609*8237 - 6235189470 = 5*409628731
271.   5^4*1609*8237 - 6234897510 = 5*409687123
272.   5^4*1609*8237 - 6234518970 = 5*409762831
273.   5^4*1609*8237 - 6190485372 = 25943*80671
274.   5^4*1609*8237 - 6189075324 = 23*91054687
275.   5^4*1609*8237 - 6173852940 = 5*421896037
276.   5^4*1609*8237 - 6170845932 = 26357*80149
277.   5^4*1609*8237 - 6152938470 = 5*426078931
278.   5^4*1609*8237 - 6152897430 = 5*426087139
279.   5^4*1609*8237 - 6152478930 = 5*426170839
280.   5^4*1609*8237 - 6145789302 = 607*3521489
281.   5^4*1609*8237 - 6143852970 = 5*427896031
282.   5^4*1609*8237 - 6138529470 = 5*428960731
283.   5^4*1609*8237 - 6138527940 = 5*428961037
284.   5^4*1609*8237 - 6135289470 = 5*429608731
285.   5^4*1609*8237 - 6105789342 = 283*7694501
286.   5^4*1609*8237 - 6048291375 = 2*5^3*8940167
287.   5^4*1609*8237 - 6025973814 = 23*98146057
288.   5^4*1609*8237 - 5982641730 = 5*460138279
289.   5^4*1609*8237 - 5982341760 = 5*460198273
290.   5^4*1609*8237 - 5981436720 = 5*460379281
291.   5^4*1609*8237 - 5980136742 = 409*5631287
292.   5^4*1609*8237 - 5974318260 = 5*461802973
293.   5^4*1609*8237 - 5973412068 = 5297*436081
294.   5^4*1609*8237 - 5973246180 = 5*462017389
295.   5^4*1609*8237 - 5967324180 = 5*463201789
296.   5^4*1609*8237 - 5948236710 = 5*467019283
297.   5^4*1609*8237 - 5948136720 = 5*467039281
298.   5^4*1609*8237 - 5947138620 = 5*467238901
299.   5^4*1609*8237 - 5947021638 = 41*56983207
300.   5^4*1609*8237 - 5943871620 = 5*467892301
301.   5^4*1609*8237 - 5943867120 = 5*467893201
302.   5^4*1609*8237 - 5942381760 = 5*468190273
303.   5^4*1609*8237 - 5938467120 = 5*468973201
304.   5^4*1609*8237 - 5937106428 = 26347*89051
305.   5^4*1609*8237 - 5934826710 = 5*469701283
306.   5^4*1609*8237 - 5934281760 = 5*469810273
307.   5^4*1609*8237 - 5932416780 = 5*470183269
308.   5^4*1609*8237 - 5931486720 = 5*470369281
309.   5^4*1609*8237 - 5921743680 = 5*6029*78341
310.   5^4*1609*8237 - 5917324680 = 5*473201689
311.   5^4*1609*8237 - 5901367482 = 41*58096723
312.   5^4*1609*8237 - 5893214670 = 5*478023691
313.   5^4*1609*8237 - 5879604132 = 571*4209683
314.   5^4*1609*8237 - 5871493620 = 5*482367901
315.   5^4*1609*8237 - 5837249610 = 5*489216703
316.   5^4*1609*8237 - 5837149620 = 5*489236701
317.   5^4*1609*8237 - 5832714690 = 5*490123687
318.   5^4*1609*8237 - 5832694710 = 5*490127683
319.   5^4*1609*8237 - 5831496720 = 5*490367281
320.   5^4*1609*8237 - 5831426790 = 5*490381267
321.   5^4*1609*8237 - 5794326810 = 5*497801263
322.   5^4*1609*8237 - 5793460812 = 41*60728593
323.   5^4*1609*8237 - 5793146820 = 5*498037261
324.   5^4*1609*8237 - 5781493602 = 941*2658703
325.   5^4*1609*8237 - 5742983160 = 5*6317*80429
326.   5^4*1609*8237 - 5742193086 = 43609*58271
327.   5^4*1609*8237 - 5679430218 = 41*63509827
328.   5^4*1609*8237 - 5670498312 = 8527*306419
329.   5^4*1609*8237 - 5609184372 = 31^2*457*6089
330.   5^4*1609*8237 - 5493170826 = 41*68052739
331.   5^4*1609*8237 - 5398760142 = 35149*82067
332.   5^4*1609*8237 - 5391608742 = 41*70529863
333.   5^4*1609*8237 - 5370218946 = 8501*342679
334.   5^4*1609*8237 - 5301948762 = 4271*698053
335.   5^4*1609*8237 - 5276183940 = 5*601429837
336.   5^4*1609*8237 - 5276139480 = 5*601438729
337.   5^4*1609*8237 - 5274691380 = 5*601728349
338.   5^4*1609*8237 - 5274613980 = 5*601743829
339.   5^4*1609*8237 - 5273869410 = 5*601892743
340.   5^4*1609*8237 - 5273468910 = 5*601972843
341.   5^4*1609*8237 - 5267418390 = 5*603182947
342.   5^4*1609*8237 - 5264197380 = 5*603827149
343.   5^4*1609*8237 - 5264187390 = 5*603829147
344.   5^4*1609*8237 - 5263741890 = 5*603918247
345.   5^4*1609*8237 - 5247618930 = 5*607142839
346.   5^4*1609*8237 - 5247386910 = 5*607189243
347.   5^4*1609*8237 - 5247368910 = 5*607192843
348.   5^4*1609*8237 - 5246873910 = 5*607291843
349.   5^4*1609*8237 - 5239618470 = 5*608742931
350.   5^4*1609*8237 - 5238619470 = 5*608942731
351.   5^4*1609*8237 - 5237641890 = 5*609138247
352.   5^4*1609*8237 - 5237468910 = 5*609172843
353.   5^4*1609*8237 - 5236741890 = 5*609318247
354.   5^4*1609*8237 - 5234790618 = 3541*860927
355.   5^4*1609*8237 - 5230476918 = 419*7286053
356.   5^4*1609*8237 - 5219734680 = 5*821*746309
357.   5^4*1609*8237 - 5198607342 = 401*7692583
358.   5^4*1609*8237 - 5179642380 = 5*620738149
359.   5^4*1609*8237 - 5178936420 = 5*620879341
360.   5^4*1609*8237 - 5178642390 = 5*620938147
361.   5^4*1609*8237 - 5173862940 = 5*621894037
362.   5^4*1609*8237 - 5167843920 = 5*623097841
363.   5^4*1609*8237 - 5167839420 = 5*623098741
364.   5^4*1609*8237 - 5164278390 = 5*623810947
365.   5^4*1609*8237 - 5163978420 = 5*623870941
366.   5^4*1609*8237 - 5163948072 = 4793*650821
367.   5^4*1609*8237 - 5163742890 = 5*623918047
368.   5^4*1609*8237 - 5162873940 = 5*624091837
369.   5^4*1609*8237 - 5162839470 = 5*624098731
370.   5^4*1609*8237 - 5162378940 = 5*624190837
371.   5^4*1609*8237 - 5146783920 = 5*627309841
372.   5^4*1609*8237 - 5143867920 = 5*627893041
373.   5^4*1609*8237 - 5142976380 = 5*628071349
374.   5^4*1609*8237 - 5142796380 = 5*628107349
375.   5^4*1609*8237 - 5138796420 = 5*628907341
376.   5^4*1609*8237 - 5138679420 = 5*628930741
377.   5^4*1609*8237 - 5138629470 = 5*628940731
378.   5^4*1609*8237 - 5136742890 = 5*629318047
379.   5^4*1609*8237 - 5136427890 = 5*629381047
380.   5^4*1609*8237 - 5134628970 = 5*629740831
381.   5^4*1609*8237 - 5127890364 = 607*5198423
382.   5^4*1609*8237 - 5063984712 = 41*78520693
383.   5^4*1609*8237 - 4968750132 = 401*8265793
384.   5^4*1609*8237 - 4932175680 = 5*670231489
385.   5^4*1609*8237 - 4907281356 = 4621*730589
386.   5^4*1609*8237 - 4895213706 = 41*82637059
387.   5^4*1609*8237 - 4879621530 = 5*680742319
388.   5^4*1609*8237 - 4879362510 = 5*680794123
389.   5^4*1609*8237 - 4873621590 = 5*681942307
390.   5^4*1609*8237 - 4872593610 = 5*682147903
391.   5^4*1609*8237 - 4863579012 = 409*8361257
392.   5^4*1609*8237 - 4862713590 = 5*684123907
393.   5^4*1609*8237 - 4862379510 = 5*684190723
394.   5^4*1609*8237 - 4861723590 = 5*684321907
395.   5^4*1609*8237 - 4859637120 = 5*684739201
396.   5^4*1609*8237 - 4859372610 = 5*684792103
397.   5^4*1609*8237 - 4837629510 = 5*689140723
398.   5^4*1609*8237 - 4837261590 = 5*689214307
399.   5^4*1609*8237 - 4837162590 = 5*689234107
400.   5^4*1609*8237 - 4837126590 = 5*689241307
401.   5^4*1609*8237 - 4836297510 = 5*689407123
402.   5^4*1609*8237 - 4836271590 = 5*689412307
403.   5^4*1609*8237 - 4832695710 = 5*690127483
404.   5^4*1609*8237 - 4832591760 = 5*690148273
405.   5^4*1609*8237 - 4831695720 = 5*690327481
406.   5^4*1609*8237 - 4769152380 = 5*702836149
407.   5^4*1609*8237 - 4768513920 = 5*702963841
408.   5^4*1609*8237 - 4765183920 = 5*703629841
409.   5^4*1609*8237 - 4762518930 = 5*704162839
410.   5^4*1609*8237 - 4761523980 = 5*704361829
411.   5^4*1609*8237 - 4759236810 = 5*704819263
412.   5^4*1609*8237 - 4758692310 = 5*704928163
413.   5^4*1609*8237 - 4758691320 = 5*704928361
414.   5^4*1609*8237 - 4752613980 = 5*706143829
415.   5^4*1609*8237 - 4752386910 = 5*706189243
416.   5^4*1609*8237 - 4751926380 = 5*706281349
417.   5^4*1609*8237 - 4751623980 = 5*706341829
418.   5^4*1609*8237 - 4739861520 = 5*708694321
419.   5^4*1609*8237 - 4735980612 = 41*86520793
420.   5^4*1609*8237 - 4735926810 = 5*709481263
421.   5^4*1609*8237 - 4735268910 = 5*709612843
422.   5^4*1609*8237 - 4735168920 = 5*709632841
423.   5^4*1609*8237 - 4732159680 = 5*710234689
424.   5^4*1609*8237 - 4681359720 = 5*720394681
425.   5^4*1609*8237 - 4659237810 = 5*724819063
426.   5^4*1609*8237 - 4658791320 = 5*724908361
427.   5^4*1609*8237 - 4652873910 = 5*726091843
428.   5^4*1609*8237 - 4652791380 = 5*726108349
429.   5^4*1609*8237 - 4652783910 = 5*726109843
430.   5^4*1609*8237 - 4651783920 = 5*726309841
431.   5^4*1609*8237 - 4638527910 = 5*728961043
432.   5^4*1609*8237 - 4638517920 = 5*728963041
433.   5^4*1609*8237 - 4638259710 = 5*729014683
434.   5^4*1609*8237 - 4637528910 = 5*729160843
435.   5^4*1609*8237 - 4635917820 = 5*729483061
436.   5^4*1609*8237 - 4635178920 = 5*729630841
437.   5^4*1609*8237 - 4631970582 = 41*89057623
438.   5^4*1609*8237 - 4619325780 = 5*732801469
439.   5^4*1609*8237 - 4610937582 = 41*89570623
440.   5^4*1609*8237 - 4607395182 = 41*89657023
441.   5^4*1609*8237 - 4586319720 = 5*739402681
442.   5^4*1609*8237 - 4582139670 = 5*740238691
443.   5^4*1609*8237 - 4579136820 = 5*740839261
444.   5^4*1609*8237 - 4569317280 = 5*742803169
445.   5^4*1609*8237 - 4539867120 = 5*748693201
446.   5^4*1609*8237 - 4538269710 = 5*749012683
447.   5^4*1609*8237 - 4537916820 = 5*749083261
448.   5^4*1609*8237 - 4536819720 = 5*749302681
449.   5^4*1609*8237 - 4509368712 = 4073*926581
450.   5^4*1609*8237 - 4506893712 = 743*5082691
451.   5^4*1609*8237 - 4395126078 = 67*58032941
452.   5^4*1609*8237 - 4387615290 = 5*9467*82301
453.   5^4*1609*8237 - 4381657920 = 5*83*9401627
454.   5^4*1609*8237 - 4376512980 = 5*781364029
455.   5^4*1609*8237 - 4371298560 = 5*782406913
456.   5^4*1609*8237 - 4368527910 = 5*782961043
457.   5^4*1609*8237 - 4368512970 = 5*782964031
458.   5^4*1609*8237 - 4367851920 = 5*783096241
459.   5^4*1609*8237 - 4367512980 = 5*783164029
460.   5^4*1609*8237 - 4365127980 = 5*783641029
461.   5^4*1609*8237 - 4361852970 = 5*784296031
462.   5^4*1609*8237 - 4361798520 = 5*784306921
463.   5^4*1609*8237 - 4361527980 = 5*784361029
464.   5^4*1609*8237 - 4359871620 = 5*784692301
465.   5^4*1609*8237 - 4359867120 = 5*784693201
466.   5^4*1609*8237 - 4351867920 = 5*786293041
467.   5^4*1609*8237 - 4351627980 = 5*786341029
468.   5^4*1609*8237 - 4351267980 = 5*786413029
469.   5^4*1609*8237 - 4302167598 = 67*59420381
470.   5^4*1609*8237 - 4301952768 = 59*67481023
471.   5^4*1609*8237 - 4276958310 = 5*801274963
472.   5^4*1609*8237 - 4276503918 = 67*59803421
473.   5^4*1609*8237 - 4268751390 = 5*802916347
474.   5^4*1609*8237 - 4267519380 = 5*803162749
475.   5^4*1609*8237 - 4259736810 = 5*804719263
476.   5^4*1609*8237 - 4258697310 = 5*804927163
477.   5^4*1609*8237 - 4251736890 = 5*806319247
478.   5^4*1609*8237 - 4237596810 = 5*809147263
479.   5^4*1609*8237 - 4235976810 = 5*809471263
480.   5^4*1609*8237 - 4231865790 = 5*810293467
481.   5^4*1609*8237 - 4182359760 = 5*820194673
482.   5^4*1609*8237 - 4178659320 = 5*820934761
483.   5^4*1609*8237 - 4173658092 = 8923*460571
484.   5^4*1609*8237 - 4168259730 = 5*823014679
485.   5^4*1609*8237 - 4168235790 = 5*823019467
486.   5^4*1609*8237 - 4167958320 = 5*823074961
487.   5^4*1609*8237 - 4167935820 = 5*823079461
488.   5^4*1609*8237 - 4167529380 = 5*823160749
489.   5^4*1609*8237 - 4165237890 = 5*823619047
490.   5^4*1609*8237 - 4159678320 = 5*824730961
491.   5^4*1609*8237 - 4159367820 = 5*824793061
492.   5^4*1609*8237 - 4138265790 = 5*829013467
493.   5^4*1609*8237 - 4135960872 = 51439*80627
494.   5^4*1609*8237 - 4135267890 = 5*829613047
495.   5^4*1609*8237 - 4132695780 = 5*830127469
496.   5^4*1609*8237 - 4132685790 = 5*830129467
497.   5^4*1609*8237 - 4089573162 = 4253*986071
498.   5^4*1609*8237 - 4031296758 = 59*72068413
499.   5^4*1609*8237 - 3976284510 = 5*861409723
500.   5^4*1609*8237 - 3976214580 = 5*861423709
501.   5^4*1609*8237 - 3974628510 = 5*861740923
502.   5^4*1609*8237 - 3972845061 = 2^10*47*89563
503.   5^4*1609*8237 - 3972815640 = 5*862103497
504.   5^4*1609*8237 - 3972584610 = 5*862149703
505.   5^4*1609*8237 - 3971460258 = 509*8471263
506.   5^4*1609*8237 - 3971264580 = 5*862413709
507.   5^4*1609*8237 - 3962714580 = 5*864123709
508.   5^4*1609*8237 - 3961728540 = 5*864320917
509.   5^4*1609*8237 - 3961478520 = 5*864370921
510.   5^4*1609*8237 - 3958472610 = 5*864972103
511.   5^4*1609*8237 - 3958471620 = 5*864972301
512.   5^4*1609*8237 - 3947065218 = 58109*74623
513.   5^4*1609*8237 - 3946712580 = 5*867324109
514.   5^4*1609*8237 - 3946278510 = 5*867410923
515.   5^4*1609*8237 - 3946271580 = 5*867412309
516.   5^4*1609*8237 - 3946172580 = 5*867432109
517.   5^4*1609*8237 - 3945872610 = 5*867492103
518.   5^4*1609*8237 - 3894560712 = 56093*78241
519.   5^4*1609*8237 - 3765189420 = 5*903628741
520.   5^4*1609*8237 - 3764518920 = 5*903762841
521.   5^4*1609*8237 - 3764251890 = 5*903816247
522.   5^4*1609*8237 - 3764195820 = 5*903827461
523.   5^4*1609*8237 - 3761542890 = 5*139^2*46807
524.   5^4*1609*8237 - 3761489520 = 5*904368721
525.   5^4*1609*8237 - 3759426810 = 5*904781263
526.   5^4*1609*8237 - 3752618940 = 5*906142837
527.   5^4*1609*8237 - 3752468910 = 5*906172843
528.   5^4*1609*8237 - 3751896420 = 5*906287341
529.   5^4*1609*8237 - 3751426890 = 5*906381247
530.   5^4*1609*8237 - 3745209861 = 2^10*967*4583
531.   5^4*1609*8237 - 3745168920 = 5*907632841
532.   5^4*1609*8237 - 3742516890 = 5*908163247
533.   5^4*1609*8237 - 3741965820 = 5*908273461
534.   5^4*1609*8237 - 3681459720 = 5*920374681
535.   5^4*1609*8237 - 3679145820 = 5*920837461
536.   5^4*1609*8237 - 3659427810 = 5*924781063
537.   5^4*1609*8237 - 3652897410 = 5*926087143
538.   5^4*1609*8237 - 3651289470 = 5*926408731
539.   5^4*1609*8237 - 3645927810 = 5*927481063
540.   5^4*1609*8237 - 3645917820 = 5*927483061
541.   5^4*1609*8237 - 3645278910 = 5*927610843
542.   5^4*1609*8237 - 3645178920 = 5*927630841
543.   5^4*1609*8237 - 3642795810 = 5*928107463
544.   5^4*1609*8237 - 3641825790 = 5*928301467
545.   5^4*1609*8237 - 3641597820 = 5*928347061
546.   5^4*1609*8237 - 3615270984 = 563*8291407
547.   5^4*1609*8237 - 3582714690 = 5*940123687
548.   5^4*1609*8237 - 3582174690 = 5*940231687
549.   5^4*1609*8237 - 3579426810 = 5*940781263
550.   5^4*1609*8237 - 3578214690 = 5*941023687
551.   5^4*1609*8237 - 3574296810 = 5*941807263
552.   5^4*1609*8237 - 3569814720 = 5*942703681
553.   5^4*1609*8237 - 3569247810 = 5*942817063
554.   5^4*1609*8237 - 3568940172 = 56039*84127
555.   5^4*1609*8237 - 3568194720 = 5*943027681
556.   5^4*1609*8237 - 3548269710 = 5*947012683
557.   5^4*1609*8237 - 3547916820 = 5*947083261
558.   5^4*1609*8237 - 3526790184 = 9203*516847
559.   5^4*1609*8237 - 3519480726 = 59*80743261
560.   5^4*1609*8237 - 3482715690 = 5*960123487
561.   5^4*1609*8237 - 3481965720 = 5*960273481
562.   5^4*1609*8237 - 3465897120 = 5*963487201
563.   5^4*1609*8237 - 3452891076 = 64381*75029
564.   5^4*1609*8237 - 3061789254 = 643*8120597
565.   5^4*1609*8237 - 2976135048 = 653*8127409
566.   5^4*1609*8237 - 2840195736 = 6521*834709
567.   5^4*1609*8237 - 2793156084 = 61547*89203
568.   5^4*1609*8237 - 2793016584 = 67*81945023
569.   5^4*1609*8237 - 2671049358 = 60457*92831
570.   5^4*1609*8237 - 2638570194 = 67*84250193
571.   5^4*1609*8237 - 2481693750 = 5^4*7*1326089
572.   5^4*1609*8237 - 2463971508 = 6907*842531
573.   5^4*1609*8237 - 1987036254 = 9203*684157
574.   5^4*1609*8237 - 1965407382 = 643*9825701
575.   5^4*1609*8237 - 1937854602 = 76541*82903

With the two tables on hand I can now step through my cascades without having to redo the arithmetic over and over again. I can explore tens of thousands cascades instead of just a few hundred. I'm already finding that 48-term cascades may be the largest possible.