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A111327
Numbers k such that 13 divides prime(1) + ... + prime(k).
11
49, 61, 67, 87, 92, 117, 119, 126, 131, 160, 166, 179, 203, 253, 269, 295, 297, 299, 319, 344, 348, 360, 381, 393, 408, 418, 429, 437, 442, 451, 485, 496, 502, 506, 508, 510, 532, 541, 553, 559, 565, 585, 591, 623, 626, 647, 652, 656, 662, 672, 692, 712, 715, 733, 736
OFFSET
1,1
LINKS
MATHEMATICA
Position[Accumulate[Prime[Range[400]]], _?(Divisible[#, 13] &)] // Flatten (* Amiram Eldar, May 14 2024 *)
PROG
(PARI) lista(pmax) = {my(s = 0, k = 0); forprime(p = 2, pmax, k++; s += p; if(!(s % 13), print1(k, ", "))); } \\ Amiram Eldar, May 14 2024
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Nov 05 2005
STATUS
approved