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

Author

Amarnath Murthy, Aug 07 2002

Keywords

• nonn

Examples

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

Links

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

Crossrefs

Cf. A068873, A073620, A073621.

Formula

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

Extensions

More terms from Sascha Kurz, Feb 03 2003