A067374 Integers expressible as the sum of (at least two) consecutive primes in at least 4 ways.

311, 863, 1164, 1320, 1650, 1854, 2856, 2867, 3198, 3264, 3754, 4200, 4920, 5100, 5770, 5999, 6504, 8152, 10134, 10320, 10536, 10649, 11058, 12294, 12438, 12762, 12820, 12954, 12990, 14369, 14699, 14826, 15329, 15610, 15762, 16199, 16277

Offset: 1

Author

Patrick De Geest, Feb 04 2002

Keywords

• nonn

Examples

			E.g., 311 = 101 + 103 + 107 = 53 + 59 + 61 + 67 + 71 = 31 + 37 + 41 + 43 + 47 + 53 + 59 = 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47.
		

Links

• Donovan Johnson, Table of n, a(n) for n = 1..1000
• P. De Geest, WONplate 122
• C. Rivera, Puzzle 46

Crossrefs

Cf. A050936, A067372-A067381, A054999.

Programs

Mathematica

Clear[lst,lst1,m,n,p,a,b] m=2*6!; lst={}; Do[p=Prime[a]; Do[p+=Prime[b]; If[pVladimir Joseph Stephan Orlovsky, Aug 15 2009 *)

Formula

A084143(a(n)) > 3. - Ray Chandler, Sep 20 2023

Extensions

Offset corrected by Donovan Johnson, Nov 14 2013