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A161959 Smallest composite number which is the sum of n consecutive prime numbers. 0
8, 10, 26, 28, 56, 58, 77, 100, 129, 160, 236, 238, 326, 328, 381, 440, 501, 568, 639, 712, 791, 874, 963, 1060, 1161, 1264, 1371, 1480, 1593, 1720, 1851, 1988, 2127, 2276, 2427, 2584, 2747, 2914, 3087, 3266, 3447, 3638, 3831, 4028, 4227, 4438, 4661, 4888 (list; graph; refs; listen; history; internal format)
OFFSET

2,1

FORMULA

a(2n+1) = A007504(2n+1)

a(2n) = A007504(2n) if that value is composite, else A007504(2n+1) - 2.

a(n) ~ n^2 * log(n) / 2.

EXAMPLE

a(6) = 56 = 3 + 5 + 7 + 11 + 13 + 17. (2 + 3 + 5 + 7 + 11 + 13 is prime so not a member of this sequence.)

CROSSREFS

Sequence in context: A102844 A097543 A088034 * A096516 A024869 A108940

Adjacent sequences:  A161956 A161957 A161958 * A161960 A161961 A161962

KEYWORD

nonn

AUTHOR

Claudio L Meller (claudiomeller(AT)gmail.com), Jun 22 2009

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Last modified February 17 16:13 EST 2012. Contains 206050 sequences.