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ロマンティックな９つの数 #ロマ数ボーイズ

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#ロマ数ボーイズ で tsujimotter が発表したスライドです。
https://connpass.com/event/50636/

tsujimotter のノートブック
http://tsujimotter.hatenablog.com

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ロマンティックな９つの数 #ロマ数ボーイズ

1. 1. @tsujimotter 2017/04/01 #
2. 2. Q( p -d)
3. 3. p -1 13 = ⇣ 2 + 3 p -1 ⌘ ⇣ 2 - 3 p -1 ⌘ 13 = ⇣ 2 + 3 p -1 ⌘ ⇣ 2 - 3 p -1 ⌘
4. 4. 1471 = ⇣ 2 + 3 p -163 ⌘ ⇣ 2 - 3 p -163 ⌘ p -163
5. 5. Q( p -d) p -d Q( p -1) Q( p -163) Q( p -5)
6. 6. 6 = 2 · 3 = ⇣ 1 + p -5 ⌘ ⇣ 1 - p -5 ⌘ Q( p -5)
7. 7. Q( p -5), Q( p -6), Q( p -10), Q( p -13), Q( p -14), Q( p -15) Q( p -15), Q( p -17), Q( p -21), Q( p -22), Q( p -23), · · · Q( p -1), Q( p -2), Q( p -3), Q( p -7), Q( p -11), Q( p -19), Q Q( p -7), Q( p -11), Q( p -19), Q( p -43), Q( p -67), Q( p -163)
8. 8. d = -1, -2, -3, -7, -11, -19, -43, -67, -163
9. 9. X2 - X + 41 4 1
10. 10. 12 – 1 + 41 = 22 – 2 + 41 = 32 – 3 + 41 = 42 – 4 + 41 = 52 – 5 + 41 = 62 – 6 + 41 = 72 – 7 + 41 =
11. 11. 82 – 8 + 41 = 92 – 9 + 41 = 102 – 10 + 41 = 112 – 11 + 41 = 122 – 12 + 41 = 132 – 13 + 41 = 142 – 14 + 41 =
12. 12. 152 – 15 + 41 = 162 – 16 + 41 = 172 – 17 + 41 = 182 – 18 + 41 = 192 – 19 + 41 = 202 – 20 + 41 = 212 – 21 + 41 =
13. 13. 222 – 22 + 41 = 232 – 23 + 41 = 242 – 24 + 41 = 252 – 25 + 41 = 262 – 26 + 41 = 272 – 27 + 41 = 282 – 28 + 41 =
14. 14. 292 – 29 + 41 = 302 – 30 + 41 = 312 – 31 + 41 = 322 – 32 + 41 = 332 – 33 + 41 = 342 – 34 + 41 = 352 – 35 + 41 =
15. 15. 362 – 36 + 41 = 372 – 37 + 41 = 382 – 38 + 41 = 392 – 39 + 41 = 402 – 40 + 41 = 412 – 41 + 41 = = 412
16. 16. 　 () X = 1 q – 1 q = 1 + d 4
17. 17. X2 – X + X = 1 X2 – X + X = 1, 2 X2 – X + X = 1, 2, 3, 4, 5 X2 – X + X = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 X2 – X + X = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 X2 – X + X = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, …, 40
18. 18. e⇡ p 163 = 262537412640768743.99999999999925... 12 digits