cp's OEIS Frontend

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.

A226755 Numbers of the form p*q, p and q prime with q=2p-3.

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%I A226755 #20 Nov 20 2013 14:28:49
%S A226755 9,35,77,209,299,527,989,1829,2627,3239,3569,5459,8777,9869,13529,
%T A226755 18527,20099,22577,25199,31877,37127,48827,55277,64979,72389,73919,
%U A226755 88409,98789,107879,115439,125249,137549,159329,192509,200027,218129,239777,277139,353219
%N A226755 Numbers of the form p*q, p and q prime with q=2p-3.
%C A226755 The smaller prime factor of a(n) = p = sopf(a(n))/3 + 1.  The larger prime factor of a(n) = q = 2*sopf(a(n))/3 - 1.  Furthermore, 2(sopf(a(n))/3 + 1) is representable as the sum of two primes in at least two ways since 2p = p + p = 3 + q. - _Wesley Ivan Hurt_, Jun 30 2013
%H A226755 Charles R Greathouse IV, <a href="/A226755/b226755.txt">Table of n, a(n) for n = 1..10000</a>
%t A226755 fa = FactorInteger; t[n_]:=Length[fa[n]] == 2 && fa[n][[1,2]]== fa[n][[2, 2]] == 1 && 2 fa[n][[1, 1]]-3 == fa[n][[2, 1]]; Select[1+Range[200000], t]
%o A226755 (PARI) list(lim)=my(v=List(), q); forprime(p=2, (sqrt(8*lim+9)+3)\4, if(isprime(q=2*p-3), listput(v, p*q))); Vec(v) \\ _Charles R Greathouse IV_, Nov 19 2013
%Y A226755 Cf. A129521, A156592, A226754.
%K A226755 nonn
%O A226755 1,1
%A A226755 _José María Grau Ribas_, Jun 16 2013
%E A226755 a(1) added by _Charles R Greathouse IV_, Nov 19 2013