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 A233461 Numbers k such that k divides 1 + Sum_{j=1..k} prime(j)^16. 1
 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 20, 24, 27, 30, 32, 34, 39, 40, 45, 48, 51, 55, 57, 60, 64, 68, 80, 85, 90, 96, 100, 102, 120, 128, 136, 160, 168, 170, 180, 186, 192, 204, 205, 216, 230, 238, 240, 255, 272, 285, 320, 340, 360, 384, 408, 480, 510 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS a(616) > 1.5*10^13. - Bruce Garner, Jun 06 2021 LINKS Bruce Garner, Table of n, a(n) for n = 1..615 (first 479 terms from Robert Price) EXAMPLE a(9)=10 because 1 plus the sum of the first 10 primes^16 is 256716898101196243797130 which is divisible by 10. MATHEMATICA p = 2; k = 0; s = 1; lst = {}; While[k < 40000000000, s = s + p^16; If[Mod[s, ++k] == 0, AppendTo[lst, k]; Print[{k, p}]]; p = NextPrime@ p] (* derived from A128169 *) CROSSREFS Cf. A085450 (smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n). Cf. A007504, A045345, A171399, A128165, A233523, A050247, A050248. Cf. A024450, A111441, A217599, A128166, A233862, A217600, A217601. Sequence in context: A143513 A062849 A243355 * A010432 A187041 A097752 Adjacent sequences:  A233458 A233459 A233460 * A233462 A233463 A233464 KEYWORD nonn AUTHOR Robert Price, Dec 10 2013 STATUS approved

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Last modified November 26 21:07 EST 2021. Contains 349344 sequences. (Running on oeis4.)