A109726 Divide primes in groups with 2n elements and add together.

0, 5, 36, 156, 442, 954, 1854, 3154, 4998, 7514, 10784, 14786, 19932, 26148, 33448, 42340, 52208, 64322, 77898, 93116, 110224, 129978, 151990, 175224, 201584, 231272, 263500, 298590, 335856, 376616, 420984, 469894, 521740, 577304, 634990

Offset: 0

Author

Giovanni Teofilatto, Aug 10 2005

Keywords

• easy
• nonn

Comments

First difference of A322420.

Links

• Ray Chandler, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A007504, A109722-A109725, A322420.

Programs

Mathematica

f[n_] := Sum[Prime[k], {k, n}]; Table[f[n*(n + 1)] - f[n*(n - 1)], {n, 0, 34}]

Formula

a(n) = A007504(n*(n+1)) - A007504(n*(n-1)).

Extensions

Edited and extended by Ray Chandler, Aug 11 2005