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 A242788 Numbers n such that (n^n-3)/(n-3) is an integer. 5
 1, 2, 4, 5, 6, 7, 9, 11, 13, 15, 16, 27, 31, 33, 36, 55, 73, 91, 133, 241, 249, 366, 367, 491, 513, 577, 733, 757, 871, 913, 971, 991, 1233, 1333, 1576, 1711, 1927, 2071, 2346, 2593, 2731, 3307, 3391, 3529, 4005, 4591, 5113, 5371, 5409, 5671, 5793, 6567, 6801, 7465, 7591 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS For n > 6, equivalent to n such that n^n = 3 mod n-3. - Chai Wah Wu, Jan 19 2015 LINKS Chai Wah Wu, Table of n, a(n) for n = 1..4388 EXAMPLE (6^6-3)/(6-3) = 46653/3 = 15551 is an integer. Thus 6 is a member of this sequence. MATHEMATICA Select[ Range@ 7600, Mod[ PowerMod[#, #, # - 3] - 3, # - 3] == 0 &] (* Robert G. Wilson v, Jan 21 2015 *) PROG (PARI) for(n=1, 10^4, if(n!=3, s=(n^n-3)/(n-3); if(floor(s)==s, print(n)))) (Python) A242788_list = [1, 2, 4, 5, 6] + [n for n in range(7, 10**6) if pow(n, n, n-3) == 3] # Chai Wah Wu, Jan 19 2015 CROSSREFS Cf. A242787. Sequence in context: A242871 A026420 A026479 * A026426 A026480 A126424 Adjacent sequences:  A242785 A242786 A242787 * A242789 A242790 A242791 KEYWORD nonn AUTHOR Derek Orr, May 22 2014 STATUS approved

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Last modified June 6 04:15 EDT 2020. Contains 334859 sequences. (Running on oeis4.)