A067373 Integers expressible as the sum of (at least two) consecutive primes in at least 3 ways.

240, 287, 311, 340, 371, 510, 660, 803, 863, 864, 931, 961, 990, 1012, 1060, 1099, 1104, 1151, 1164, 1236, 1313, 1320, 1367, 1392, 1524, 1643, 1650, 1710, 1788, 1793, 1854, 1951, 1956, 2040, 2303, 2304, 2387, 2393, 2436, 2507, 2556, 2586, 2647, 2670

Offset: 1

Author

Patrick De Geest, Feb 04 2002

Keywords

• nonn

Examples

			240 = (113 + 127) = (53 + 59 + 61 + 67) = (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43) or (#2,113) (#4,53) (#8,17).
		

Links

• Donovan Johnson, Table of n, a(n) for n = 1..1000
• P. De Geest, WONplate 122
• C. Rivera, Puzzle 46
• Eric Weisstein's World of Mathematics, Prime Sums

Crossrefs

Cf. A050936, A067372-A067381, A054998.

Programs

Mathematica

m=3*5!; lst={}; Do[p=Prime[a]; Do[p+=Prime[b]; If[pVladimir Joseph Stephan Orlovsky, Aug 15 2009 *)

Formula

A084143(a(n)) > 2. - Ray Chandler, Sep 20 2023

Extensions

Offset corrected by Donovan Johnson, Nov 14 2013