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 A177455 Partial sums of A079062. 0
 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified May 18 15:24 EDT 2024. Contains 372664 sequences. (Running on oeis4.)