A213814 - OEIS

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A213814

Primes that are sums of three, five and seven consecutive primes.

311, 61643, 67141, 87853, 115361, 142799, 210031, 332489, 362309, 723823, 1149749, 1352863, 1444957, 1638733, 2197759, 2204117, 2299313, 2457473, 2765387, 3069263, 3212593, 3588647, 3633983

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OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..530

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

Adjacent sequences: A213811 A213812 A213813 * A213815 A213816 A213817

KEYWORD

nonn

AUTHOR

Zak Seidov, Mar 04 2013

STATUS

approved

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