



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
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OFFSET

1,1


COMMENTS

Partial sums of a(1) = 2; for n > 1, a(n) = smallest prime p such that p  a(n1) = 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



FORMULA



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



KEYWORD

nonn


AUTHOR



EXTENSIONS



STATUS

approved



