A213814 -id:A213814 - cp's OEIS frontend

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

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

A305546 Primes that are sums of three, five, seven and eleven consecutive primes.

Original entry on oeis.org

311, 67141, 125963951, 161888809, 201388259, 559069591, 669472577, 917135831, 951993491, 974896207, 1103919101, 1128722657, 1426246369, 1691534683, 1977185207, 2455167607, 2472527851, 2558204381, 2583232213, 2643398713, 2708464399, 2815245317, 2868455287

Offset: 1

Zak Seidov, Jun 04 2018

nonn

Intersection of A127340 and A213814.

E.g., a(1) = 311 = A127340(3) = A213814(1).

Harvey P. Dale, Table of n, a(n) for n = 1..36 (All terms from using the first 100 million primes.)

Cf. A127340, A213814, A222564.

Module[{nn=10^8,prs,p3,p5,p7,p11},prs=Prime[Range[nn]];p3=Select[ Total/@ Partition[ prs,3,1],PrimeQ];p5=Select[Total/@Partition[prs,5,1],PrimeQ];p7=Select[ Total/@Partition[prs,7,1],PrimeQ];p11=Select[Total/@Partition[prs,11,1],PrimeQ];Intersection[ p3,p5,p7,p11]] (* Harvey P. Dale, Sep 05 2022 *)

a(7)-a(23) from Giovanni Resta, Jun 07 2018

cp's OEIS Frontend

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

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