I have today finished examining the Leyland numbers from 1000800 digits to 1000899 digits and have found no PRPs therein. This adds to my previous search of 1000900 digits to 1000999 digits completed 26 Jan 2024 wherein I found three PRPs. At nine to ten months per search, I am not anxious to try another such interval. Yesterday was the ninth (year) anniversary of my very first Leyland-prime find. That's a long time to be obsessed with the task. I'm going to take a breather.
Friday, October 04, 2024
Thursday, October 03, 2024
Éric Angelini (1951-2024)
Pascale SCHOENMAECKERS,
son épouse,
Cécile ANGELINI,
Lorenzo ANGELINI et Marie LE HENAFF,
ses enfants et sa belle-fille,
Domenico ANGELINI et Monica ANGELINI,
Catherine ANGELINI,
Letizia ANGELINI et Henri DEFRANCHI,
Marina ANGELINI et Éric VAN NEROM,
son frère et ses soeurs,
Bidè,
son compère,
Les familles ANGELINI et apparentées,
ont la tristesse d’annoncer le décès de
MONSIEUR
Éric ANGELINI
né à Ostende le 12 septembre 1951
et décédé à Uccle le 27 septembre 2024.
Le service, suivi de l’inhumation au cimetière d’Ixelles,
aura lieu dans l’église Sainte-Anne à Uccle
le JEUDI 3 OCTOBRE 2024, à 10 h 30.
La famille y recevra les condoléances dès 10 heures.
Après avoir joué 1. e4, Éric aurait relevé que
le présent avis, qui tient lieu de faire-part,
comporte six cent septante-cinq signes jusqu’ici.
The above transliterated copy of the original obituary allows for two ligatures to be treated each as two "signes" in order to make the self-referential closing assertion true. Éric's final Cinquante signes article just misses Michael Branicky's (late Sep. 27) emailed response:
1 [length 0]
2 [length 8]
-> 2^2 = 4
-> 4^2 = 16
-> 1^2 + 6^2 = 37
-> 37^2 = 1369
-> 1^2 + 369^2 = 136162
-> 1^2 + 36^2 + 16^2 + 2^2 = 1557
-> 1^2 + 5^2 + 5^2 + 7^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
3 [length 7]
-> 3^2 = 9
-> 9^2 = 81
-> 81^2 = 6561
-> 6^2 + 56^2 + 1^2 = 3173
-> 3^2 + 1^2 + 7^2 + 3^2 = 68
-> 6^2 + 8^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
4 [length 7]
-> 4^2 = 16
-> 1^2 + 6^2 = 37
-> 37^2 = 1369
-> 1^2 + 369^2 = 136162
-> 1^2 + 36^2 + 16^2 + 2^2 = 1557
-> 1^2 + 5^2 + 5^2 + 7^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
5 [length 7]
-> 5^2 = 25
-> 25^2 = 625
-> 62^2 + 5^2 = 3869
-> 3^2 + 869^2 = 755170
-> 755^2 + 17^2 + 0^2 = 570314
-> 5^2 + 7^2 + 0^2 + 3^2 + 1^2 + 4^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
6 [length 6]
-> 6^2 = 36
-> 36^2 = 1296
-> 1296^2 = 1679616
-> 1679616^2 = 2821109907456
-> 28^2 + 21^2 + 1^2 + 0^2 + 9^2 + 9^2 + 0^2 + 74^2 + 56^2 = 10000
-> 1^2 + 0^2 + 0^2 + 0^2 + 0^2 = 1
7 [length 5]
-> 7^2 = 49
-> 4^2 + 9^2 = 97
-> 9^2 + 7^2 = 130
-> 1^2 + 3^2 + 0^2 = 10
-> 1^2 + 0^2 = 1
8 [length 5]
-> 8^2 = 64
-> 64^2 = 4096
-> 40^2 + 9^2 + 6^2 = 1717
-> 1^2 + 7^2 + 1^2 + 7^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
9 [length 6]
-> 9^2 = 81
-> 81^2 = 6561
-> 6^2 + 56^2 + 1^2 = 3173
-> 3^2 + 1^2 + 7^2 + 3^2 = 68
-> 6^2 + 8^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
10 [length 1]
-> 1^2 + 0^2 = 1
11 [length 6]
-> 11^2 = 121
-> 12^2 + 1^2 = 145
-> 1^2 + 45^2 = 2026
-> 2^2 + 0^2 + 26^2 = 680
-> 6^2 + 8^2 + 0^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
12 [length 6]
-> 12^2 = 144
-> 1^2 + 44^2 = 1937
-> 1^2 + 9^2 + 37^2 = 1451
-> 1^2 + 4^2 + 51^2 = 2618
-> 26^2 + 18^2 = 1000
-> 1^2 + 0^2 + 0^2 + 0^2 = 1
13 [length 2]
-> 1^2 + 3^2 = 10
-> 1^2 + 0^2 = 1
14 [length 6]
-> 1^2 + 4^2 = 17
-> 17^2 = 289
-> 289^2 = 83521
-> 8^2 + 3^2 + 5^2 + 2^2 + 1^2 = 103
-> 1^2 + 0^2 + 3^2 = 10
-> 1^2 + 0^2 = 1
15 [length 6]
-> 15^2 = 225
-> 225^2 = 50625
-> 5^2 + 0^2 + 625^2 = 390650
-> 390^2 + 65^2 + 0^2 = 156325
-> 1^2 + 5^2 + 6^2 + 3^2 + 2^2 + 5^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
16 [length 6]
-> 1^2 + 6^2 = 37
-> 37^2 = 1369
-> 1^2 + 369^2 = 136162
-> 1^2 + 36^2 + 16^2 + 2^2 = 1557
-> 1^2 + 5^2 + 5^2 + 7^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
17 [length 5]
-> 17^2 = 289
-> 289^2 = 83521
-> 8^2 + 3^2 + 5^2 + 2^2 + 1^2 = 103
-> 1^2 + 0^2 + 3^2 = 10
-> 1^2 + 0^2 = 1
18 [length 6]
-> 1^2 + 8^2 = 65
-> 65^2 = 4225
-> 4^2 + 225^2 = 50641
-> 50^2 + 641^2 = 413381
-> 4^2 + 1^2 + 3^2 + 3^2 + 8^2 + 1^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
19 [length 4]
-> 1^2 + 9^2 = 82
-> 8^2 + 2^2 = 68
-> 6^2 + 8^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
20 [length 7]
-> 20^2 = 400
-> 40^2 + 0^2 = 1600
-> 1^2 + 60^2 + 0^2 = 3601
-> 3601^2 = 12967201
-> 12967201^2 = 168148301774401
-> 16^2 + 8^2 + 1^2 + 48^2 + 3^2 + 0^2 + 17^2 + 74^2 + 40^2 + 1^2 = 10000
-> 1^2 + 0^2 + 0^2 + 0^2 + 0^2 = 1
21 [length 6]
-> 21^2 = 441
-> 4^2 + 41^2 = 1697
-> 1^2 + 6^2 + 9^2 + 7^2 = 167
-> 1^2 + 6^2 + 7^2 = 86
-> 8^2 + 6^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
22 [length 6]
-> 2^2 + 2^2 = 8
-> 8^2 = 64
-> 64^2 = 4096
-> 40^2 + 9^2 + 6^2 = 1717
-> 1^2 + 7^2 + 1^2 + 7^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
23 [length 3]
-> 2^2 + 3^2 = 13
-> 1^2 + 3^2 = 10
-> 1^2 + 0^2 = 1
24 [length 6]
-> 24^2 = 576
-> 57^2 + 6^2 = 3285
-> 3285^2 = 10791225
-> 10^2 + 7^2 + 9^2 + 1^2 + 2^2 + 25^2 = 860
-> 8^2 + 6^2 + 0^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
25 [length 6]
-> 25^2 = 625
-> 62^2 + 5^2 = 3869
-> 3^2 + 869^2 = 755170
-> 755^2 + 17^2 + 0^2 = 570314
-> 5^2 + 7^2 + 0^2 + 3^2 + 1^2 + 4^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
26 [length 6]
-> 26^2 = 676
-> 67^2 + 6^2 = 4525
-> 4^2 + 525^2 = 275641
-> 2^2 + 7^2 + 564^2 + 1^2 = 318150
-> 3^2 + 1^2 + 8^2 + 1^2 + 5^2 + 0^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
27 [length 5]
-> 27^2 = 729
-> 729^2 = 531441
-> 5^2 + 3^2 + 1^2 + 4^2 + 4^2 + 1^2 = 68
-> 6^2 + 8^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
28 [length 3]
-> 2^2 + 8^2 = 68
-> 6^2 + 8^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
29 [length 6]
-> 2^2 + 9^2 = 85
-> 85^2 = 7225
-> 7^2 + 2^2 + 2^2 + 5^2 = 82
-> 8^2 + 2^2 = 68
-> 6^2 + 8^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
30 [length 6]
-> 30^2 = 900
-> 90^2 + 0^2 = 8100
-> 810^2 + 0^2 = 656100
-> 6^2 + 5^2 + 610^2 + 0^2 = 372161
-> 3^2 + 7^2 + 2^2 + 1^2 + 6^2 + 1^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
31 [length 2]
-> 3^2 + 1^2 = 10
-> 1^2 + 0^2 = 1
32 [length 3]
-> 3^2 + 2^2 = 13
-> 1^2 + 3^2 = 10
-> 1^2 + 0^2 = 1
33 [length 6]
-> 33^2 = 1089
-> 1^2 + 0^2 + 89^2 = 7922
-> 7^2 + 922^2 = 850133
-> 85013^2 + 3^2 = 7227210178
-> 7^2 + 2^2 + 27^2 + 2^2 + 10^2 + 1^2 + 7^2 + 8^2 = 1000
-> 1^2 + 0^2 + 0^2 + 0^2 = 1
34 [length 5]
-> 34^2 = 1156
-> 1^2 + 15^2 + 6^2 = 262
-> 26^2 + 2^2 = 680
-> 6^2 + 8^2 + 0^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
35 [length 6]
-> 3^2 + 5^2 = 34
-> 34^2 = 1156
-> 1^2 + 15^2 + 6^2 = 262
-> 26^2 + 2^2 = 680
-> 6^2 + 8^2 + 0^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
36 [length 5]
-> 36^2 = 1296
-> 1296^2 = 1679616
-> 1679616^2 = 2821109907456
-> 28^2 + 21^2 + 1^2 + 0^2 + 9^2 + 9^2 + 0^2 + 74^2 + 56^2 = 10000
-> 1^2 + 0^2 + 0^2 + 0^2 + 0^2 = 1
37 [length 5]
-> 37^2 = 1369
-> 1^2 + 369^2 = 136162
-> 1^2 + 36^2 + 16^2 + 2^2 = 1557
-> 1^2 + 5^2 + 5^2 + 7^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
38 [length 5]
-> 38^2 = 1444
-> 144^2 + 4^2 = 20752
-> 207^2 + 52^2 = 45553
-> 4^2 + 5^2 + 5^2 + 5^2 + 3^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
39 [length 4]
-> 39^2 = 1521
-> 1^2 + 5^2 + 2^2 + 1^2 = 31
-> 3^2 + 1^2 = 10
-> 1^2 + 0^2 = 1
40 [length 6]
-> 40^2 = 1600
-> 1^2 + 60^2 + 0^2 = 3601
-> 3601^2 = 12967201
-> 12967201^2 = 168148301774401
-> 16^2 + 8^2 + 1^2 + 48^2 + 3^2 + 0^2 + 17^2 + 74^2 + 40^2 + 1^2 = 10000
-> 1^2 + 0^2 + 0^2 + 0^2 + 0^2 = 1
41 [length 6]
-> 4^2 + 1^2 = 17
-> 17^2 = 289
-> 289^2 = 83521
-> 8^2 + 3^2 + 5^2 + 2^2 + 1^2 = 103
-> 1^2 + 0^2 + 3^2 = 10
-> 1^2 + 0^2 = 1
42 [length 6]
-> 42^2 = 1764
-> 1^2 + 7^2 + 6^2 + 4^2 = 102
-> 102^2 = 10404
-> 1^2 + 0^2 + 404^2 = 163217
-> 1^2 + 6^2 + 3^2 + 2^2 + 1^2 + 7^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
43 [length 6]
-> 43^2 = 1849
-> 1^2 + 8^2 + 49^2 = 2466
-> 2^2 + 466^2 = 217160
-> 2^2 + 1^2 + 7^2 + 16^2 + 0^2 = 310
-> 3^2 + 1^2 + 0^2 = 10
-> 1^2 + 0^2 = 1
44 [length 4]
-> 4^2 + 4^2 = 32
-> 3^2 + 2^2 = 13
-> 1^2 + 3^2 = 10
-> 1^2 + 0^2 = 1
45 [length 6]
-> 45^2 = 2025
-> 20^2 + 25^2 = 1025
-> 10^2 + 2^2 + 5^2 = 129
-> 1^2 + 2^2 + 9^2 = 86
-> 8^2 + 6^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
46 [length 5]
-> 46^2 = 2116
-> 2116^2 = 4477456
-> 4^2 + 47^2 + 7^2 + 456^2 = 210210
-> 2^2 + 1^2 + 0^2 + 2^2 + 1^2 + 0^2 = 10
-> 1^2 + 0^2 = 1
47 [length 5]
-> 47^2 = 2209
-> 22^2 + 0^2 + 9^2 = 565
-> 5^2 + 6^2 + 5^2 = 86
-> 8^2 + 6^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
48 [length 5]
-> 48^2 = 2304
-> 230^2 + 4^2 = 52916
-> 5^2 + 29^2 + 16^2 = 1122
-> 1^2 + 1^2 + 2^2 + 2^2 = 10
-> 1^2 + 0^2 = 1
49 [length 4]
-> 4^2 + 9^2 = 97
-> 9^2 + 7^2 = 130
-> 1^2 + 3^2 + 0^2 = 10
-> 1^2 + 0^2 = 1
50 [length 6]
-> 50^2 = 2500
-> 2^2 + 50^2 + 0^2 = 2504
-> 25^2 + 0^2 + 4^2 = 641
-> 6^2 + 41^2 = 1717
-> 1^2 + 7^2 + 1^2 + 7^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
51 [length 6]
-> 51^2 = 2601
-> 2^2 + 60^2 + 1^2 = 3605
-> 3^2 + 605^2 = 366034
-> 366034^2 = 133980889156
-> 13^2 + 39^2 + 8^2 + 0^2 + 8^2 + 89^2 + 15^2 + 6^2 = 10000
-> 1^2 + 0^2 + 0^2 + 0^2 + 0^2 = 1
52 [length 5]
-> 52^2 = 2704
-> 2704^2 = 7311616
-> 731^2 + 1^2 + 6^2 + 1^2 + 6^2 = 534435
-> 5^2 + 3^2 + 4^2 + 4^2 + 3^2 + 5^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
53 [length 6]
-> 5^2 + 3^2 = 34
-> 34^2 = 1156
-> 1^2 + 15^2 + 6^2 = 262
-> 26^2 + 2^2 = 680
-> 6^2 + 8^2 + 0^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
54 [length 5]
-> 54^2 = 2916
-> 291^2 + 6^2 = 84717
-> 84^2 + 7^2 + 1^2 + 7^2 = 7155
-> 7^2 + 1^2 + 5^2 + 5^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
55 [length 5]
-> 55^2 = 3025
-> 302^2 + 5^2 = 91229
-> 9^2 + 12^2 + 2^2 + 9^2 = 310
-> 3^2 + 1^2 + 0^2 = 10
-> 1^2 + 0^2 = 1
56 [length 6]
-> 5^2 + 6^2 = 61
-> 61^2 = 3721
-> 3721^2 = 13845841
-> 1^2 + 38^2 + 4^2 + 58^2 + 4^2 + 1^2 = 4842
-> 4^2 + 8^2 + 4^2 + 2^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
57 [length 4]
-> 57^2 = 3249
-> 324^2 + 9^2 = 105057
-> 1^2 + 0^2 + 5^2 + 0^2 + 5^2 + 7^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
58 [length 5]
-> 58^2 = 3364
-> 3364^2 = 11316496
-> 113^2 + 16^2 + 4^2 + 9^2 + 6^2 = 13158
-> 1^2 + 3^2 + 1^2 + 5^2 + 8^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
59 [length 4]
-> 59^2 = 3481
-> 34^2 + 8^2 + 1^2 = 1221
-> 1^2 + 2^2 + 2^2 + 1^2 = 10
-> 1^2 + 0^2 = 1
60 [length 6]
-> 6^2 + 0^2 = 36
-> 36^2 = 1296
-> 1296^2 = 1679616
-> 1679616^2 = 2821109907456
-> 28^2 + 21^2 + 1^2 + 0^2 + 9^2 + 9^2 + 0^2 + 74^2 + 56^2 = 10000
-> 1^2 + 0^2 + 0^2 + 0^2 + 0^2 = 1
61 [length 5]
-> 61^2 = 3721
-> 3721^2 = 13845841
-> 1^2 + 38^2 + 4^2 + 58^2 + 4^2 + 1^2 = 4842
-> 4^2 + 8^2 + 4^2 + 2^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
62 [length 5]
-> 62^2 = 3844
-> 3844^2 = 14776336
-> 14776^2 + 3^2 + 3^2 + 6^2 = 218330230
-> 2^2 + 1^2 + 8^2 + 3^2 + 3^2 + 0^2 + 2^2 + 3^2 + 0^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
63 [length 5]
-> 63^2 = 3969
-> 3^2 + 969^2 = 938970
-> 9^2 + 3^2 + 89^2 + 7^2 + 0^2 = 8060
-> 8^2 + 0^2 + 6^2 + 0^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
64 [length 4]
-> 64^2 = 4096
-> 40^2 + 9^2 + 6^2 = 1717
-> 1^2 + 7^2 + 1^2 + 7^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
65 [length 5]
-> 65^2 = 4225
-> 4^2 + 225^2 = 50641
-> 50^2 + 641^2 = 413381
-> 4^2 + 1^2 + 3^2 + 3^2 + 8^2 + 1^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
66 [length 4]
-> 66^2 = 4356
-> 4^2 + 3^2 + 5^2 + 6^2 = 86
-> 8^2 + 6^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
67 [length 6]
-> 6^2 + 7^2 = 85
-> 85^2 = 7225
-> 7^2 + 2^2 + 2^2 + 5^2 = 82
-> 8^2 + 2^2 = 68
-> 6^2 + 8^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
68 [length 2]
-> 6^2 + 8^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
69 [length 5]
-> 6^2 + 9^2 = 117
-> 117^2 = 13689
-> 13689^2 = 187388721
-> 18^2 + 7^2 + 3^2 + 8^2 + 8^2 + 7^2 + 21^2 = 1000
-> 1^2 + 0^2 + 0^2 + 0^2 = 1
70 [length 5]
-> 7^2 + 0^2 = 49
-> 4^2 + 9^2 = 97
-> 9^2 + 7^2 = 130
-> 1^2 + 3^2 + 0^2 = 10
-> 1^2 + 0^2 = 1
71 [length 5]
-> 71^2 = 5041
-> 5^2 + 0^2 + 41^2 = 1706
-> 1^2 + 7^2 + 0^2 + 6^2 = 86
-> 8^2 + 6^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
72 [length 6]
-> 72^2 = 5184
-> 51^2 + 8^2 + 4^2 = 2681
-> 2681^2 = 7187761
-> 7^2 + 1^2 + 8^2 + 77^2 + 6^2 + 1^2 = 6080
-> 6^2 + 0^2 + 8^2 + 0^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
73 [length 5]
-> 73^2 = 5329
-> 5^2 + 32^2 + 9^2 = 1130
-> 11^2 + 3^2 + 0^2 = 130
-> 1^2 + 3^2 + 0^2 = 10
-> 1^2 + 0^2 = 1
74 [length 4]
-> 74^2 = 5476
-> 54^2 + 7^2 + 6^2 = 3001
-> 3^2 + 0^2 + 0^2 + 1^2 = 10
-> 1^2 + 0^2 = 1
75 [length 5]
-> 7^2 + 5^2 = 74
-> 74^2 = 5476
-> 54^2 + 7^2 + 6^2 = 3001
-> 3^2 + 0^2 + 0^2 + 1^2 = 10
-> 1^2 + 0^2 = 1
76 [length 5]
-> 76^2 = 5776
-> 5776^2 = 33362176
-> 33^2 + 362^2 + 1^2 + 7^2 + 6^2 = 132219
-> 1^2 + 3^2 + 2^2 + 2^2 + 1^2 + 9^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
77 [length 4]
-> 77^2 = 5929
-> 592^2 + 9^2 = 350545
-> 3^2 + 5^2 + 0^2 + 5^2 + 4^2 + 5^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
78 [length 4]
-> 7^2 + 8^2 = 113
-> 11^2 + 3^2 = 130
-> 1^2 + 3^2 + 0^2 = 10
-> 1^2 + 0^2 = 1
79 [length 3]
-> 7^2 + 9^2 = 130
-> 1^2 + 3^2 + 0^2 = 10
-> 1^2 + 0^2 = 1
80 [length 5]
-> 8^2 + 0^2 = 64
-> 64^2 = 4096
-> 40^2 + 9^2 + 6^2 = 1717
-> 1^2 + 7^2 + 1^2 + 7^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
81 [length 5]
-> 81^2 = 6561
-> 6^2 + 56^2 + 1^2 = 3173
-> 3^2 + 1^2 + 7^2 + 3^2 = 68
-> 6^2 + 8^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
82 [length 3]
-> 8^2 + 2^2 = 68
-> 6^2 + 8^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
83 [length 5]
-> 83^2 = 6889
-> 688^2 + 9^2 = 473425
-> 4734^2 + 25^2 = 22411381
-> 2^2 + 2^2 + 4^2 + 1^2 + 1^2 + 3^2 + 8^2 + 1^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
84 [length 5]
-> 84^2 = 7056
-> 7^2 + 0^2 + 56^2 = 3185
-> 318^2 + 5^2 = 101149
-> 1^2 + 0^2 + 1^2 + 1^2 + 4^2 + 9^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
85 [length 5]
-> 85^2 = 7225
-> 7^2 + 2^2 + 2^2 + 5^2 = 82
-> 8^2 + 2^2 = 68
-> 6^2 + 8^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
86 [length 2]
-> 8^2 + 6^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
87 [length 4]
-> 8^2 + 7^2 = 113
-> 11^2 + 3^2 = 130
-> 1^2 + 3^2 + 0^2 = 10
-> 1^2 + 0^2 = 1
88 [length 4]
-> 88^2 = 7744
-> 7^2 + 7^2 + 4^2 + 4^2 = 130
-> 1^2 + 3^2 + 0^2 = 10
-> 1^2 + 0^2 = 1
89 [length 5]
-> 8^2 + 9^2 = 145
-> 1^2 + 45^2 = 2026
-> 2^2 + 0^2 + 26^2 = 680
-> 6^2 + 8^2 + 0^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
90 [length 5]
-> 90^2 = 8100
-> 810^2 + 0^2 = 656100
-> 6^2 + 5^2 + 610^2 + 0^2 = 372161
-> 3^2 + 7^2 + 2^2 + 1^2 + 6^2 + 1^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
91 [length 4]
-> 9^2 + 1^2 = 82
-> 8^2 + 2^2 = 68
-> 6^2 + 8^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
92 [length 5]
-> 92^2 = 8464
-> 8464^2 = 71639296
-> 7^2 + 1^2 + 6^2 + 39^2 + 29^2 + 6^2 = 2484
-> 2^2 + 4^2 + 8^2 + 4^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
93 [length 5]
-> 93^2 = 8649
-> 8^2 + 649^2 = 421265
-> 4^2 + 2^2 + 1^2 + 2^2 + 6^2 + 5^2 = 86
-> 8^2 + 6^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
94 [length 4]
-> 9^2 + 4^2 = 97
-> 9^2 + 7^2 = 130
-> 1^2 + 3^2 + 0^2 = 10
-> 1^2 + 0^2 = 1
95 [length 5]
-> 95^2 = 9025
-> 9025^2 = 81450625
-> 81^2 + 4^2 + 506^2 + 2^2 + 5^2 = 262642
-> 2^2 + 6^2 + 2^2 + 6^2 + 4^2 + 2^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
96 [length 5]
-> 9^2 + 6^2 = 117
-> 117^2 = 13689
-> 13689^2 = 187388721
-> 18^2 + 7^2 + 3^2 + 8^2 + 8^2 + 7^2 + 21^2 = 1000
-> 1^2 + 0^2 + 0^2 + 0^2 = 1
97 [length 3]
-> 9^2 + 7^2 = 130
-> 1^2 + 3^2 + 0^2 = 10
-> 1^2 + 0^2 = 1
98 [length 5]
-> 9^2 + 8^2 = 145
-> 1^2 + 45^2 = 2026
-> 2^2 + 0^2 + 26^2 = 680
-> 6^2 + 8^2 + 0^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
99 [length 5]
-> 99^2 = 9801
-> 9^2 + 801^2 = 641682
-> 6416^2 + 8^2 + 2^2 = 41165124
-> 4^2 + 1^2 + 1^2 + 6^2 + 5^2 + 1^2 + 2^2 + 4^2 = 100
-> 1^2 + 0^2 + 0^2 = 1
100 [length 1]
-> 1^2 + 0^2 + 0^2 = 1
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