A103572 - OEIS

A103572

Sum of the (primes > 5 modulo 19).

7, 18, 31, 48, 48, 52, 62, 74, 92, 95, 100, 109, 124, 126, 130, 140, 154, 170, 173, 180, 193, 195, 201, 209, 221, 235, 253, 266, 283, 287, 293, 309, 327, 332, 343, 358, 360, 368, 378, 379, 382, 389, 398, 400, 414, 432, 433, 438, 449, 462, 466, 476, 492, 495

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OFFSET

1,1

COMMENTS

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

LINKS

Table of n, a(n) for n=1..54.

FORMULA

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

MATHEMATICA

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

CROSSREFS