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

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

Author

Zak Seidov, Jun 04 2018

Keywords

• nonn

Comments

Intersection of A127340 and A213814.

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

Links

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

Crossrefs

Cf. A127340, A213814, A222564.

Programs

Mathematica

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 *)

Extensions

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