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A213814
Primes that are sums of three, five and seven consecutive primes.
3
311, 61643, 67141, 87853, 115361, 142799, 210031, 332489, 362309, 723823, 1149749, 1352863, 1444957, 1638733, 2197759, 2204117, 2299313, 2457473, 2765387, 3069263, 3212593, 3588647, 3633983
OFFSET
1,1
LINKS
EXAMPLE
311 = 101 + 103 + 107 = 53 + 59 + 61 + 67 + 71 = 31 + 37 + 41 + 43 + 47 + 53 + 59.
MATHEMATICA
pr = Prime[Range[100000]]; to3 = Total /@ Partition[pr, 3, 1];
to5 = Total /@ Partition[pr, 5, 1]; to7 = Total /@ Partition[pr, 7, 1];
Select[Intersection[to3, to5, to7], PrimeQ]
CROSSREFS
Subsequence of A211170.
Sequence in context: A061329 A276662 A274236 * A305546 A071644 A139638
KEYWORD
nonn
AUTHOR
Zak Seidov, Mar 04 2013
STATUS
approved