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

1,1

Links

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

Example

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

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 *)

Crossrefs

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

Sequence in context: A180320 A159283 A106281 * A135316 A160500 A327448

Adjacent sequences: A127338 A127339 A127340 * A127342 A127343 A127344

Keyword

nonn

Author

Artur Jasinski, Jan 11 2007

Extensions

Edited by Stefan Steinerberger, Jul 31 2007

Status

approved