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#89 |
Nov 2016
276410 Posts |
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#90 |
Nov 2016
22·691 Posts |
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Extended to n=512, since the smallest number such that the program cannot compute the full fraction is n=526. (see http://oeis.org/A003285 for the period length, the period length for n=1 to n=64 are 0, 1, 2, 0, 1, 2, 4, 2, 0, 1, 2, 2, 5, 4, 2, 0, 1, 2, 6, 2, 6, 6, 4, 2, 0, 1, 2, 4, 5, 2, 8, 4, 4, 4, 2, 0, 1, 2, 2, 2, 3, 2, 10, 8, 6, 12, 4, 2, 0, 1, 2, 6, 5, 6, 4, 2, 6, 7, 6, 4, 11, 4, 2, 0)
Last fiddled with by sweety439 on 2018-06-01 at 18:03 |
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#91 |
Nov 2016
22×691 Posts |
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#92 |
Nov 2016
22·691 Posts |
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#93 |
Nov 2016
53148 Posts |
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Format:
[prime, period]: smallest base |
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#94 |
Nov 2016
1010110011002 Posts |
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#95 |
Nov 2016
22·691 Posts |
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#96 |
Nov 2016
276410 Posts |
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Relative class number h- of cyclotomic field Q(zeta_n) for n up to 256. (only n<=236 have been doublechecked, thus there may be error for n>236)
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#97 |
Nov 2016
ACC16 Posts |
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#98 |
Nov 2016
22×691 Posts |
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search limit: 2048 for n<=133, 1024 for n>=134
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#99 |
Nov 2016
ACC16 Posts |
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range: 1<=k<=n-2 (we do not include k=n-1)
conjectures: 0 only for n = 1, 2, 3 1 only for n = 23, 52 2 only for n = 4, 5, 7, 11 3 only for n = 6, 19, 26, 40, 59, 97, 105, 247, 266 4 only for 8, 9, 10, 13, 14, 16, 22, 25, 37, 41, 54, 70, 76, 110, 119, 141, 142, 189 and for every r, there is an n such that a(k)>r for all k>n. Last fiddled with by sweety439 on 2018-07-11 at 23:39 |
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