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A073686 Group the composite numbers so that the sum of each group is a prime: (4, 6, 8, 9, 10), (12, 14, 15), (16, 18, 20, 21, 22), (24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55), ...; sequence gives sum of terms in each group. 3
37, 41, 97, 983, 113, 307, 131, 137, 367, 653, 541, 383, 199, 311, 547, 229, 233, 2293, 281, 5689, 1511, 4349, 439, 443, 449, 1381, 4159, 769, 1571, 2441, 557, 2281, 3253, 2137, 1567, 4877, 9439, 1103, 1487, 751, 6977, 1201, 2843, 823, 827, 9413, 1777 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..47.

MATHEMATICA

t1 = Rest[Select[Range[450], ! PrimeQ[#] &]]; t = {}; s = 0; Do[s += i; If[PrimeQ[s], AppendTo[t, s]; s = 0], {i, t1}]; t (* Jayanta Basu, Jul 07 2013 *)

CROSSREFS

Cf. A073685, A073687.

Sequence in context: A288618 A090263 A033225 * A176926 A217411 A155849

Adjacent sequences:  A073683 A073684 A073685 * A073687 A073688 A073689

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Aug 11 2002

EXTENSIONS

More terms from Lior Manor Aug 13 2002

STATUS

approved

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Last modified January 26 13:18 EST 2021. Contains 340439 sequences. (Running on oeis4.)