A096279 Sums of successive sums of successive sums of successive sums of successive primes.

83, 122, 168, 216, 264, 316, 378, 446, 514, 582, 644, 700, 766, 846, 924, 994, 1062, 1126, 1188, 1258, 1340, 1434, 1528, 1602, 1656, 1704, 1764, 1860, 1984, 2094, 2178, 2260, 2348, 2432, 2514, 2598, 2682, 2766, 2848, 2932, 3018, 3090, 3152, 3242, 3378

Offset

1,1

Comments

The first term is always odd and may be prime. The first terms of more and more successions produce A007443.

Links

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Example

2 3 5 7 11 successive primes
5 8 12 18 sums of successive primes
13 20 30 sums of successive sums of successive primes
33 50 sums of successive sums of successive sums of successive primes
83 sums of successive sums of successive sums of successive sums of successive primes

Mathematica

Nest[ListConvolve[{1, 1}, #]&, Prime[Range[100]], 4] (* Paolo Xausa, Oct 31 2023 *)

Prog

(PARI) \\ Iterated successive sums of successive sums... of successive primes.
\\ Input number of terms n and the order m. m=0 yields the primes.
sucsums(n, m) = { my(a, b, i, j, k); a = primes(n+m); b = vector(#a); for(i=1, m, for(j=1, n+m-i, b[j] = a[j]+ a[j+1]; ); a=b; ); for(k=1, n, print1(a[k], ", "); ) }

Crossrefs

Cf. A000040, A001043, A096277, A096278.

Sequence in context: A261449 A288880 A126117 * A340817 A261087 A140771

Adjacent sequences: A096276 A096277 A096278 * A096280 A096281 A096282

Keyword

easy,nonn

Author

Cino Hilliard, Jun 22 2004

Status

approved