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 A057491 Numbers k such that k | 12^k + 11^k + 10^k + 9^k + 8^k + 7^k + 6^k + 5^k. 0
 1, 2, 4, 10, 17, 50, 62, 221, 250, 253, 289, 290, 316, 697, 764, 1250, 1819, 3590, 4913, 6250, 31250, 54043, 55913, 63869, 83521, 98923, 156250, 231250, 530893, 781250, 987110, 1419857, 2383750, 3906250, 4531250, 6891250, 8789357, 9593750, 12479450, 18458141, 19531250 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..41. MATHEMATICA Select[Range[1000000], Divisible[Total[PowerMod[Range[5, 12], #, #]], #]&] (* Harvey P. Dale, Mar 28 2012 *) PROG (Python) [n for n in range(1, 20000000) if sum(pow(k, n, n) for k in range(5, 13)) % n == 0] # Lucas A. Brown, Nov 30 2022 CROSSREFS Cf. A057490. Sequence in context: A152231 A285939 A034455 * A005541 A045955 A182248 Adjacent sequences: A057488 A057489 A057490 * A057492 A057493 A057494 KEYWORD nonn AUTHOR Robert G. Wilson v, Sep 22 2000 EXTENSIONS a(32)-a(42) from Lucas A. Brown, Nov 30 2022 STATUS approved

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Last modified June 17 00:51 EDT 2024. Contains 373432 sequences. (Running on oeis4.)