A360226 - OEIS

A360226

a(n) = sum of the first n primes whose distance to next prime is 4.

7, 20, 39, 76, 119, 186, 265, 362, 465, 574, 701, 864, 1057, 1280, 1509, 1786, 2093, 2406, 2755, 3134, 3531, 3970, 4427, 4890, 5377, 5876, 6489, 7132, 7805, 8544, 9301, 10070, 10893, 11746, 12605, 13482, 14365, 15272, 16209, 17176, 18185, 19272, 20365, 21578, 22857, 24154, 25457, 26880, 28309, 29756

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OFFSET

1,1

LINKS

Sidney Cadot, Table of n, a(n) for n = 1..1000

FORMULA

a(n) = Sum_{k=1..n} A029710(k).

a(n) = A172112(n+1) - 3.

MATHEMATICA

ii = {}; sum = 0; Do[If[Prime[n + 1] - Prime[n] == 4, sum = sum + Prime[n]; AppendTo[ii, sum]], {n, 1, 250}]; ii

CROSSREFS

Cf. A007504, A029710, A086167, A086168, A172112.