A211170 Primes that are sum of both three and five consecutive primes.

83, 199, 311, 941, 1151, 1381, 2357, 3121, 4337, 4363, 4957, 5059, 7039, 8069, 8117, 8161, 8389, 8627, 8819, 8971, 9011, 9349, 10211, 10253, 13127, 14813, 16249, 19207, 19717, 21377, 23143, 24329, 32983, 34807, 38113, 39623, 41141, 44279, 45061, 45979, 58403

Offset: 1

Author

Zak Seidov, Jan 31 2013

Keywords

• nonn

Comments

Intersection of A034962 and A034965.

Examples

			a(1) = 83 = A034962(6) = 23 + 29 + 31 = A034965(3) = 11 + 13 + 17 + 19 + 23.
		

Links

• Donovan Johnson, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A034962, A034965, A073681, A152468.

Programs

Mathematica

Module[{prs=Prime[Range[3000]],pr3,pr5},pr3=Select[Total/@Partition[ prs, 3, 1], PrimeQ];pr5=Select[Total/@Partition[prs,5,1],PrimeQ];Intersection[ pr3,pr5]] (* Harvey P. Dale, Oct 24 2016 *)