A075704 p and 12*p+1 are both primes.

3, 5, 13, 19, 23, 29, 31, 59, 61, 71, 73, 83, 89, 101, 103, 139, 149, 191, 199, 223, 229, 233, 269, 271, 281, 293, 311, 379, 383, 401, 409, 433, 463, 479, 503, 523, 569, 601, 631, 643, 661, 691, 719, 751, 761, 773, 811, 829, 839, 863, 883, 929, 953, 1009, 1013

Offset

0,1

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Example

5 is a prime and 12*5+1=61 is also a prime. 13 and 12*13+1=157 are both primes...

Maple

ts_m_sophie_germain_pras := proc(n); if (isprime(n)='true' and isprime(12*n+1)='true') then RETURN(n); fi; end: seq(ts_m_sophie_germain_pras(i), i=1..2030);

Mathematica

Select[Prime[Range[300]], PrimeQ[12#+1]&] (* Harvey P. Dale, Feb 06 2012 *)

Crossrefs

Cf. A005384, A023212, A007693, A023228, A023237.

Sequence in context: A002716 A046154 A180120 * A045413 A108702 A136053

Adjacent sequences: A075701 A075702 A075703 * A075705 A075706 A075707

Keyword

nonn

Author

Jani Melik, Oct 02 2002

Status

approved