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

1,1

Comments

Intersection of A034962 and A034965.

Links

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

Example

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

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 *)

Crossrefs

Cf. A034962, A034965, A073681, A152468.

Sequence in context: A142681 A066366 A142001 * A065012 A033253 A141933

Adjacent sequences: A211167 A211168 A211169 * A211171 A211172 A211173

Keyword

nonn

Author

Zak Seidov, Jan 31 2013

Status

approved