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

1,1

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

Formula

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

Example

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

Mathematica

m=3*5!; lst={}; Do[p=Prime[a]; Do[p+=Prime[b]; If[p<Prime[m]*3+8, AppendTo[lst, p]], {b, a+1, m, 1}], {a, m}]; lst1=Sort[lst]; lst={}; Do[If[lst1[[n]]==lst1[[n+1]]&&lst1[[n]]==lst1[[n+2]], AppendTo[lst, lst1[[n]]]], {n, Length[lst1]-2}]; Union[lst] (* Vladimir Joseph Stephan Orlovsky, Aug 15 2009 *)

Crossrefs

Cf. A050936, A067372-A067381, A054998.

Sequence in context: A328589 A135194 A031173 * A291921 A257413 A030638

Adjacent sequences: A067370 A067371 A067372 * A067374 A067375 A067376

Keyword

nonn

Author

Patrick De Geest, Feb 04 2002

Extensions

Offset corrected by Donovan Johnson, Nov 14 2013

Status

approved