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

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

Author

Zak Seidov, Mar 05 2013

Keywords

• nonn

Comments

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

Links

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

Crossrefs

Subsequence of A213814. Cf. A211170.

Programs

Mathematica

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

Extensions

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