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A211170
Primes that are sum of both three and five consecutive primes.
3
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
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
KEYWORD
nonn
AUTHOR
Zak Seidov, Jan 31 2013
STATUS
approved