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%I #11 May 14 2024 03:58:55
%S 5,8,13,22,33,40,47,50,56,63,72,84,86,104,106,110,115,126,128,139,148,
%T 150,154,157,160,180,184,186,188,200,209,220,228,230,232,236,238,240,
%U 244,253,270,274,300,302,305,322,324,331,339,354,367,371,384,415,417,420,428,433
%N Numbers k such that 7 divides prime(1) + ... + prime(k).
%H Amiram Eldar, <a href="/A111321/b111321.txt">Table of n, a(n) for n = 1..10000</a> (terms 1..1000 from Harvey P. Dale)
%t Position[Accumulate[Prime[Range[500]]],_?(Divisible[#,7]&)]//Flatten (* _Harvey P. Dale_, Oct 06 2017 *)
%o (PARI) lista(pmax) = {my(s = 0, k = 0); forprime(p = 2, pmax, k++; s += p; if(!(s % 7), print1(k, ", ")));} \\ _Amiram Eldar_, May 14 2024
%Y Cf. A007504, A103208, A111318, A111319, A111320, A111322, A111323, A111324, A111325, A111326, A111327.
%K nonn
%O 1,1
%A _N. J. A. Sloane_, Nov 05 2005