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

Offset: 1

Author

Zak Seidov, Mar 04 2013

Keywords

• nonn

Examples

			311 = 101 + 103 + 107 = 53 + 59 + 61 + 67 + 71 = 31 + 37 + 41 + 43 + 47 + 53 + 59.
		

Links

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

Crossrefs

Subsequence of A211170.

Programs

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]