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%I #18 Feb 03 2024 00:51:13
%S 17,19,29,31,41,59,71,101,139,151,179,211,239,251,269,281,409,421,431,
%T 479,491,619,631,739,809,941,1009,1021,1051,1289,1291,1439,1459,1471,
%U 1499,1511,1571,1609,1709,1721,1789,1889,1901,1999,2099,2141,2281,2411
%N Prime numbers p such that p + 12 and p - 12 are primes.
%H Daniel Starodubtsev, <a href="/A137796/b137796.txt">Table of n, a(n) for n = 1..10000</a>
%F A092216 INTERSECT A046133. - _R. J. Mathar_, May 03 2008
%e 17 + 12 = 29 (a prime), 17 - 12 = 5 (a prime);
%e 19 + 12 = 31 (a prime), 19 - 12 = 7 (a prime).
%p isA092216 := proc(n) RETURN(isprime(n) and isprime(n-12) ) ; end: isA046133 := proc(n) RETURN(isprime(n) and isprime(n+12) ) ; end: isA137796 := proc(n) RETURN(isA092216(n) and isA046133(n)) ; end: for i from 1 to 400 do if isA137796(ithprime(i)) then printf("%d,",ithprime(i)) ; fi ; od: # _R. J. Mathar_, May 03 2008
%t a=12; Select[Table[Prime[n],{n,10^3}], PrimeQ[ #-a] && PrimeQ[ #+a] &]
%o (PARI) lista(nn) = forprime(p=2, nn, if (isprime(p-12) && isprime(p+12), print1(p, ", "))); \\ _Michel Marcus_, Oct 04 2015
%Y Cf. A092216, A046133. Note that this is different from A137873.
%K nonn
%O 1,1
%A _Vladimir Joseph Stephan Orlovsky_, Apr 28 2008
%E Corrected and extended by _R. J. Mathar_, May 03 2008
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