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

1,1

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. *)

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 *)

Crossrefs

Cf. A127340, A213814, A222564.

Sequence in context: A276662 A274236 A213814 * A071644 A139638 A308002

Adjacent sequences: A305543 A305544 A305545 * A305547 A305548 A305549

Keyword

nonn

Author

Zak Seidov, Jun 04 2018

Extensions

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

Status

approved