Monday, November 18, 2024

Hello Bluesky

Posted by at 1 comment:

Sunday, November 10, 2024

Tara Shody walks Yonge Street

Posted by at No comments:

Wednesday, November 06, 2024

Surmounted by Crazy

Hello sorrow, goddamn the open door.
I ain't got no world in this home anymore.

Posted by at No comments:

Monday, November 04, 2024

How American democracy got to where it is today

Over two hours but there's a lot of moving parts:

Posted by at No comments:

Sunday, October 27, 2024

A night at The Garden

20 February 1939, and 27 October 2024:

Posted by at No comments:

Sunday, October 20, 2024

Surrendered to Crazy

Posted by at No comments:

Friday, October 18, 2024

Surrounded by Crazy

Posted by at No comments:

Friday, October 04, 2024

Breather

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.

Posted by at No comments:

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
Posted by at No comments:

Friday, September 20, 2024

Encore


After last week's recycling, today is garbage pickup. We pay for one city-supplied bin, which is unlikely to remain upright (because of raccoons) if it is encumbered with food waste. When the truck arrived here, they took a photo before moving on.

Posted by at No comments:
Subscribe to: Posts (Atom)