A127341 Primes that can be written as the sum of 13 consecutive primes.

691, 863, 983, 1153, 1283, 1553, 1621, 1753, 1823, 2111, 2239, 2311, 2963, 3191, 3617, 3853, 4099, 4357, 4519, 4597, 4999, 5081, 5393, 5471, 5623, 5693, 5849, 6229, 6491, 6971, 7349, 7673, 8123, 8191, 8669, 8933, 9391, 10141, 10499, 10949, 11273

Offset: 1

Author

Artur Jasinski, Jan 11 2007

Keywords

• nonn

Examples

			691 = prime(10) + prime(11) + ... + prime(22) = 29 + 31 + ... + 79.
		

Links

• Syed Iddi Hasan, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A034962, A034965, A082246, A082251, A127340.

Programs

Mathematica

Select[Table[Sum[Prime[i], {i, n, n + 12}], {n, 1, 150}], PrimeQ[ # ] &]
Select[Total/@Partition[Prime[Range[200]],13,1],PrimeQ] (* Harvey P. Dale, Aug 13 2021 *)

Extensions

Edited by Stefan Steinerberger, Jul 31 2007