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

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.

Sequence in context: A140676 A025056 A038349 * A100752 A162024 A143058

Adjacent sequences: A360223 A360224 A360225 * A360227 A360228 A360229

Keyword

nonn,easy

Author

Artur Jasinski, Feb 01 2023

Status

approved