A154624 -id:A154624 - cp's OEIS frontend

A154625 Primes p such that 71*p + 34 is also prime.

5, 23, 47, 53, 83, 89, 149, 179, 317, 347, 353, 359, 389, 467, 503, 557, 569, 647, 683, 773, 929, 947, 977, 983, 1019, 1103, 1193, 1217, 1229, 1283, 1307, 1319, 1439, 1733, 1847, 1889, 1907, 2069, 2153, 2243, 2309, 2357, 2393, 2399, 2417, 2657, 2687, 2693

Offset: 1

Vincenzo Librandi, Jan 17 2009

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

Cf. A154624.

[p: p in PrimesUpTo(2800)| IsPrime(71*p + 34)]; // Vincenzo Librandi, Oct 30 2012

a := proc (n) if isprime(n) = true and isprime(71*n+34) = true then n else end if end proc: seq(a(n), n = 1 .. 3000); # Emeric Deutsch, Jan 26 2009

Select[Prime[Range[500]],PrimeQ[71#+34]&] (* Harvey P. Dale, Jun 04 2011 *)

Extended by Emeric Deutsch, Jan 26 2009

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

A154625 Primes p such that 71*p + 34 is also prime.

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Maple

Mathematica

Extensions