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A213814
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Primes that are sums of three, five and seven consecutive primes.
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3
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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
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1,1
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LINKS
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EXAMPLE
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311 = 101 + 103 + 107 = 53 + 59 + 61 + 67 + 71 = 31 + 37 + 41 + 43 + 47 + 53 + 59.
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MATHEMATICA
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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]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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