A177455 Partial sums of A079062.

2, 13, 32, 55, 86, 133, 212, 295, 506, 733, 996, 1267, 1574, 1885, 2232, 2611, 2994, 3413, 3960, 4523, 5094, 5681, 6300, 6983, 7674, 8401, 9144, 9895, 10682, 11505, 12332, 13191, 14054, 15045, 16136, 17259, 18446, 19669, 20900, 22327, 23786

Offset

1,1

Comments

Partial sums of a(1) = 2; for n > 1, a(n) = smallest prime p such that p - a(n-1) = a^b for some positive integers a,b > 1. The subsequence of primes in the partial sums begins: 2, 13, 733, 3413, 4523, 6983.

Links

Table of n, a(n) for n=1..41.

Formula

a(n) = Sum_{i=1..n} A079062(i).

Example

a(20) = 2 + 11 + 19 + 23 + 31 + 47 + 79 + 83 + 211 + 227 + 263 + 271 + 307 + 311 + 347 + 379 + 383 + 419 + 547 + 563 = 4523 is prime.

Crossrefs

Cf. A079062.

Sequence in context: A107132 A106959 A285096 * A185950 A084828 A100512

Adjacent sequences: A177452 A177453 A177454 * A177456 A177457 A177458

Keyword

nonn

Author

Jonathan Vos Post, May 09 2010

Extensions

More terms from R. J. Mathar, May 24 2010

Status

approved