A073619 a(1) = 0; a(n) = smallest composite number which is a sum of n distinct primes.

0, 8, 10, 21, 28, 45, 58, 77, 100, 129, 160, 201, 238, 285, 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

Offset

1,2

Links

Table of n, a(n) for n=1..49.

Jean-François Alcover, Conjectured terms up to a(200)

Formula

Min(a(n), A068873(n)) = A007504(n) for n > 1. - Jonathan Sondow, Jul 10 2012

Example

a(4) = 21 as 21 = 2+3+5+11 is the smallest composite number expressible as sum of four distinct primes.

Crossrefs

Cf. A068873, A073620, A073621.

Sequence in context: A070974 A300022 A346783 * A338820 A302429 A292999

Adjacent sequences: A073616 A073617 A073618 * A073620 A073621 A073622

Keyword

nonn

Author

Amarnath Murthy, Aug 07 2002

Extensions

More terms from Sascha Kurz, Feb 03 2003

Status

approved