A165981 Primes p which are equal to 2 plus the sum of three consecutive primes.

17, 43, 61, 73, 271, 313, 331, 373, 397, 409, 521, 691, 733, 751, 773, 859, 1051, 1063, 1153, 1171, 1231, 1459, 1613, 1669, 1759, 1823, 1933, 2053, 2131, 2473, 2551, 2707, 2843, 2917, 2953, 2999, 3163, 3221, 3331, 3371, 3469, 3517, 3541, 3583, 3671, 3719

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Example

17 is in the sequence because 2+3+5+7=17; 43=2+11+13+17; 271=2+83+89+97.

Mathematica

Select[Total[#] + 2 & / @Partition[Prime[Range[200]], 3, 1], PrimeQ] (* Vincenzo Librandi, Sep 13 2013 *)

Crossrefs

Cf. A034961. [R. J. Mathar, Oct 14 2009]

Sequence in context: A260553 A165285 A200321 * A109998 A328998 A031340

Adjacent sequences: A165978 A165979 A165980 * A165982 A165983 A165984

Keyword

nonn,easy

Author

Vincenzo Librandi, Oct 03 2009

Extensions

Edited by N. J. A. Sloane, Oct 04 2009

Terms from 313 to 773 inserted by R. J. Mathar, Oct 14 2009

Status

approved