This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A386295 #9 Jul 23 2025 14:42:42
%S A386295 11,29,41,113,173,281,641,653,761,1901,2273,2693,2741,3413,3593,5441,
%T A386295 6053,6113,6521,6581,7121,7841,9293,9473,10253,10733,12101,12821,
%U A386295 14081,14621,15233,16493,19301,19373,19553,19913,20441,20693,21341,21701,22433,24473,27281,27581,27893,28793,28901
%N A386295 Primes p such that p+1 is a triprime and 2*p+1 is prime.
%C A386295 Sophie Germain primes of the form p*q*r - 1, where p, q and r are primes.
%C A386295 Except for 11, all terms == 5 (mod 12).
%H A386295 Robert Israel, <a href="/A386295/b386295.txt">Table of n, a(n) for n = 1..10000</a>
%e A386295 a(3) = 41 is a term because it is prime, 41 + 1 = 42 = 2 * 3 * 7 is a triprime, and 41 * 2 + 1 = 83 is prime.
%p A386295 select(p -> isprime(p) and isprime(2*p+1) and numtheory:-bigomega(p+1) = 3, [seq(i,i=3..30000,2)]);
%t A386295 s= {}; Do[p = Prime[k]; If[3 == PrimeOmega[p + 1] && PrimeQ[2*p +1], AppendTo[s, p]], {k, 2000}];s
%Y A386295 Cf. A014612.
%Y A386295 Intersection of A005384 and A063639.
%K A386295 nonn
%O A386295 1,1
%A A386295 _Zak Seidov_ and _Robert Israel_, Jul 17 2025