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 A177791 Partial sums of A050705. 0
 10, 22, 36, 51, 71, 92, 118, 151, 186, 224, 268, 316, 367, 432, 500, 586, 679, 775, 886, 998, 1114, 1237, 1398, 1586, 1787, 1990, 2196, 2405, 2615, 2830, 3051, 3329, 3626, 3926, 4230, 4536, 4857, 5209, 5565, 5936, 6320, 6715, 7113, 7526, 7946, 8387, 8858 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Partial sums of composite number such that when sum of its prime factors is added or subtracted becomes prime. The subsequence of primes in the partial sums begins: 71, 151, 367, 1237, 1787, 3329, 5209, 8387, 9343, 13781. The subsequence of partial sums which are themselves composite number such that when sum of their prime factors is added or subtracted becomes prime, begins: 10, 51, which other such fixed points are there? LINKS FORMULA a(n) = SUM[i=1..n] A050705(i) = SUM[i=1..n] {n such that n+A001414(n) is in A000040, and n-A001414(n) is in A000040}. EXAMPLE a(13) = 10 + 12 + 14 + 15 + 20 + 21 + 26 + 33 + 35 + 38 + 44 + 48 + 51 = 367 is prime. CROSSREFS Cf. A000040, A001414, A050705, A050703-A050710. Sequence in context: A217573 A276626 A211482 * A028569 A014367 A063710 Adjacent sequences:  A177788 A177789 A177790 * A177792 A177793 A177794 KEYWORD nonn AUTHOR Jonathan Vos Post, May 13 2010 STATUS approved

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Last modified April 17 09:13 EDT 2021. Contains 343064 sequences. (Running on oeis4.)