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Sum of the (primes > 5 modulo 19).
6

%I #13 Sep 01 2024 02:34:56

%S 7,18,31,48,48,52,62,74,92,95,100,109,124,126,130,140,154,170,173,180,

%T 193,195,201,209,221,235,253,266,283,287,293,309,327,332,343,358,360,

%U 368,378,379,382,389,398,400,414,432,433,438,449,462,466,476,492,495

%N Sum of the (primes > 5 modulo 19).

%C Case q=19 of a(n,q) = Sum_{i=1..n} (prime(i+3) mod q).

%F a(n+1)-a(n) = A033633(n+4).

%t a = Table[Sum[Mod[Prime[i + 3], 19], {i, 1, n}], {n, 1, 200}]

%Y Cf. A033633, A103566-A103571.

%K nonn,easy,less

%O 1,1

%A _Roger L. Bagula_, Mar 23 2005