A141914 -id:A141914 - cp's OEIS frontend

A154613 Prime p such that 23p + 10 is prime.

3, 11, 17, 29, 41, 47, 53, 59, 101, 113, 131, 167, 173, 179, 227, 239, 251, 269, 281, 383, 431, 449, 461, 479, 503, 509, 557, 563, 593, 641, 647, 677, 719, 743, 773, 797, 809, 827, 887, 911, 929, 953, 971, 977, 983, 1019, 1049, 1061, 1163, 1193, 1217, 1229

Offset: 1

Vincenzo Librandi, Jan 15 2009

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

Cf. A141914 (Primes congruent to 10 mod 23).

[p: p in PrimesUpTo(2000)|IsPrime(23*p+10)]; // Vincenzo Librandi, Jul 31 2012

a := proc (n) if isprime(n) = true and isprime(23*n+10) = true then n else end if end proc: seq(a(n), n = 1 .. 1400); # Emeric Deutsch, Jan 21 2009

Select[Prime[Range[250]],PrimeQ[23#+10]&]  (* Harvey P. Dale, Feb 25 2011 *)

Extended by Emeric Deutsch, Jan 21 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

A154613 Prime p such that 23p + 10 is prime.

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