A211170 -id:A211170 - cp's OEIS frontend

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

Zak Seidov, Mar 04 2013

nonn

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

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

Subsequence of A211170.

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]

A213914 Primes that are sums of three, five, seven and nine consecutive primes.

Original entry on oeis.org

28382041, 35213777, 64411157, 92223749, 132079147, 176955343, 253042357, 273128939, 365502299, 589730549, 644178091, 712541329, 827389151, 993274127, 1128722657, 1357950109, 1504974139, 1580552933, 1625263531, 1665516431, 1666495867, 1848493579, 2218519117

Offset: 1

Zak Seidov, Mar 05 2013

nonn

The first case of sum of 11 consecutive primes is a(15) = 1128722657 = prime(5903277) +...+ prime(5903287) = 102611081 + 102611083 + 102611087 + 102611129 + 102611137 + 102611141 + 102611149 + 102611189 + 102611203 + 102611227 + 102611231. More such terms? - Zak Seidov, Dec 11 2017

Zak Seidov, Table of n, a(n) for n = 1..48

Subsequence of A213814. Cf. A211170.

Block[{r = Prime@ Range[10^7], s}, Intersection @@ Array[Select[Total /@ Partition[r, 2 # + 1, 1], PrimeQ] &, 4] ] (* Michael De Vlieger, Dec 11 2017 *)

a(10)-a(23) from Giovanni Resta, Mar 05 2013

cp's OEIS Frontend

A213814 Primes that are sums of three, five and seven consecutive primes.

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