A082283 Primes that are the sum of a prime number of consecutive primes.

5, 23, 31, 41, 53, 59, 67, 71, 83, 97, 101, 109, 131, 139, 173, 181, 197, 199, 211, 223, 233, 251, 263, 269, 271, 281, 311, 331, 349, 353, 373, 401, 421, 431, 439, 443, 449, 457, 463, 487, 491, 499, 503, 523, 563, 587, 593, 607, 617, 631, 647, 659, 661, 677

Offset

1,1

Comments

A034962 is a subsequence. - R. J. Mathar, Sep 17 2008

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

The initial terms are:
5 = 2 + 3,
23 = 5 + 7 + 11,
31 = 7 + 11 + 13. - N. J. A. Sloane, Nov 29 2021

Mathematica

Module[{nn=50}, Select[Union[Flatten[Table[Total/@Partition[Prime[ Range[ nn]], n, 1], {n, Prime[Range[PrimePi[nn]]]}]]], PrimeQ]] (* Harvey P. Dale, Nov 28 2021 *)

Crossrefs

Cf. A034962, A348790, A348791.

Sequence in context: A038922 A019367 A065867 * A071199 A238195 A231002

Adjacent sequences: A082280 A082281 A082282 * A082284 A082285 A082286

Keyword

easy,nonn

Author

Cino Hilliard, May 09 2003

Extensions

Data corrected and extended, and erroneous program deleted, by Harvey P. Dale, Nov 28 2021

Status

approved