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A075704 p and 12*p+1 are both primes. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Solutions of the equation (12*n+1)' + n' = 2, where n' is the arithmetic derivative of n. [Paolo P. Lava, Oct 31 2012]

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

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Last modified February 22 05:17 EST 2019. Contains 320385 sequences. (Running on oeis4.)