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A093896 Least positive k such that n^n divides k!. +0
3
1, 4, 9, 10, 25, 15, 49, 28, 39, 45, 121, 28, 169, 91, 65, 66, 289, 78, 361, 85, 133, 231, 529, 76, 205, 325, 165, 175, 841, 125, 961, 164, 341, 561, 217, 150, 1369, 703, 481, 165, 1681, 259, 1849, 451, 186, 1035, 2209, 196, 595, 405, 833, 637, 2809, 327, 561 (list; graph; listen)
OFFSET

1,2

COMMENT

a(p) = p^2, p is a prime. a(n) <= n^2.

LINKS

Jon E. Schoenfield, Table of n, a(n) for n=1..10000 [From Jon E. Schoenfield (jonscho(AT)hiwaay.net), Jan 06 2009]

MATHEMATICA

Do[k = 1; While[Mod[k!, n^n] > 0, k++ ]; Print[k], {n, 1, 30}] (Propper)

CROSSREFS

Cf. A093897.

Sequence in context: A062398 A030754 A077584 this_sequence A113432 A129830 A113434

Adjacent sequences: A093893 A093894 A093895 this_sequence A093897 A093898 A093899

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 23 2004

EXTENSIONS

22 more terms from Ryan Propper (rpropper(AT)stanford.edu), Jun 20 2005

More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 12 2006

More terms from Jon E. Schoenfield (jonscho(AT)hiwaay.net), Jan 06 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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