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

Author

Vincenzo Librandi, Oct 03 2009

Keywords

• nonn
• easy

Examples

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

Links

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

Crossrefs

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

Programs

Mathematica

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

Extensions

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

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