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| A272981
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Least prime k>1 such that the sum of divisors of powers k^e, 1 <= e <= n, are divisible by the number their divisors, d(k^e).
(history;
published version)
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#13 by Bruno Berselli at Tue May 17 09:12:36 EDT 2016
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#12 by Paolo P. Lava at Thu May 12 08:00:29 EDT 2016
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#11 by Paolo P. Lava at Thu May 12 08:00:14 EDT 2016
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| NAME
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Least prime number k>1 such that whosethe sum of its divisors of powers isk^e, 1 <= e <= n, are divisible by the number of itstheir divisors along with all its first n powers, with n = 1, 2, 3, …d(k^e).
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proposed
editing
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#10 by Michael De Vlieger at Thu May 12 07:11:53 EDT 2016
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#9 by Michael De Vlieger at Thu May 12 07:11:50 EDT 2016
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| MATHEMATICA
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Table[SelectFirst[Range[2, 10^6], AllTrue[#^Range@ n, Divisible[DivisorSigma[1, #], DivisorSigma[0, #]] &] &], {n, 15}] (* Michael De Vlieger, May 12 2016, Version 10 *)
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proposed
editing
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#8 by Paolo P. Lava at Thu May 12 05:42:45 EDT 2016
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#7 by Paolo P. Lava at Thu May 12 05:42:40 EDT 2016
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| NAME
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Least prime number k>1 whose sum of its divisors is divideddivisible by the number of its divisors along with all its first n powers, with n = 1, 2, 3, …
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| STATUS
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proposed
editing
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#6 by Michel Marcus at Thu May 12 05:40:41 EDT 2016
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#5 by Michel Marcus at Thu May 12 05:39:41 EDT 2016
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Discussion
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| Thu May 12
| 05:40
| Michel Marcus: See message in A272980
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#4 by Paolo P. Lava at Thu May 12 05:10:36 EDT 2016
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