A142018 -id:A142018 - cp's OEIS frontend

A154620 Primes p such that 31p+14 is prime.

3, 17, 23, 47, 53, 107, 113, 137, 179, 197, 233, 263, 269, 347, 353, 383, 389, 419, 449, 503, 563, 587, 593, 599, 617, 647, 659, 677, 683, 719, 773, 929, 1049, 1163, 1193, 1229, 1259, 1307, 1319, 1367, 1373, 1439, 1553, 1607, 1667, 1787, 1823, 1847, 1889

Offset: 1

Vincenzo Librandi, Jan 17 2009

			For p=3, 31p+14=107; p=449, 31p+14=13933

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A142018.

[p: p in PrimesUpTo(2000)|IsPrime(31*p+14)]; // Vincenzo Librandi, Jul 31 2012

Select[Prime[Range[9000]],PrimeQ[31#+14]&] (* Vincenzo Librandi, Jul 31 2012 *)

A274202 Primes congruent to 31 mod 65.

Original entry on oeis.org

31, 421, 811, 941, 1201, 1721, 2111, 2371, 3541, 3671, 3931, 4451, 5101, 5231, 5881, 6011, 6271, 6661, 6791, 8221, 8741, 9001, 9391, 9521, 9781, 10301, 10691, 11471, 11731, 12251, 12511, 12641, 13291, 13421, 13681, 14071, 14461, 14591, 14851, 15241, 15761

Offset: 1

Vincenzo Librandi, Jun 13 2016

Subsequence of A030430 and A102732.

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A000040, A030430, A102732.

Cf. similar sequences of the type primes congruent to k mod 2*k+3: A045392 (k=2), A102732 (k=5), A138629 (k=7), A141873 (k=8), A141914 (k=10), A141935 (k=11), A141989 (k=13), A142018 (k=14), A142086 (k=16), A142126 (k=17), A142216 (k=19), A142269 (k=20), A142373 (k=22), A142433 (k=23), A142555 (k=25), A142619 (k=26), A142755 (k=28), A142827 (k=29), this sequence (k=31), A154621 (k=32), A154624 (k=34), A154628 (k=35).

[p: p in PrimesUpTo(20000) | p mod 65 eq 31];

Select[Prime[Range[2000]], MemberQ[{31}, Mod[#, 65]] &]
Select[Range[31,16000,65],PrimeQ] (* Harvey P. Dale, May 06 2018 *)

cp's OEIS Frontend

A154620 Primes p such that 31p+14 is prime.

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