Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #12 Sep 08 2022 08:45:02
%S 11,47,167,347,467,1307,2027,2447,4127,4787,5087,5387,5927,12527,
%T 12647,15287,18947,28307,39107,39827,41507,44687,51827,63587,64007,
%U 71987,73847,76367,76907,78467,79967,83207,118787,121547,143687,164987
%N Smaller term of closest safe prime pairs.
%H Amiram Eldar, <a href="/A059323/b059323.txt">Table of n, a(n) for n = 1..10000</a>
%F {x| both x and x+12 are safe primes}; Intersection(12+A005385, primes)
%e 11 and 23 are consecutive safe primes but not consecutive primes; 467 and 479 are consecutive safe primes and consecutive primes as well. Both 11 and 467 are here.
%t seqQ[n_] := And @@ PrimeQ[{n, n+12, (n-1)/2, (n+11)/2}]; Select[Range[165000], seqQ] (* _Amiram Eldar_, Jan 13 2020 *)
%o (Magma) [p:p in PrimesUpTo(165000)| IsPrime(p+12) and IsPrime((p-1) div 2) and IsPrime( (p+11) div 2)]; // _Marius A. Burtea_, Jan 13 2020
%Y Cf. A005383, A033299.
%K nonn
%O 1,1
%A _Labos Elemer_, Jan 26 2001
%E Offset corrected by _Amiram Eldar_, Jan 13 2020