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.

A235356 Primes of the form q(m) + 1 with m - 1 and m + 1 both prime, where q(.) is the strict partition function (A000009).

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%I A235356 #22 Oct 19 2014 15:10:26
%S A235356 3,5,47,1427,36353,525017,24782061071,46193897033,207839472391,
%T A235356 58195383726460417,20964758762885249107969,47573613463034233651201,
%U A235356 35940172290335689735986241,39297101749677990678763409480449,538442167350331131544523981355841
%N A235356 Primes of the form q(m) + 1 with m - 1 and m + 1 both prime, where q(.) is the strict partition function (A000009).
%C A235356 Though the primes in this sequence are very rare, by part (i) of the conjecture in A235343 there should be infinitely many such primes.
%C A235356 See A235344 for a list of known numbers m with m - 1, m + 1 and q(m) + 1 all prime.
%C A235356 See also A235357 for a similar sequence.
%H A235356 Zhi-Wei Sun, <a href="/A235356/b235356.txt">Table of n, a(n) for n = 1..30</a>
%F A235356 a(n) = A000009(A235344(n)) + 1.
%e A235356 a(1) = 3 since 3 = q(4) + 1 with 4 - 1 and 4 + 1 both prime.
%e A235356 a(2) = 5 since 5 = q(6) + 1 with 6 - 1 and 6 + 1 both prime.
%t A235356 f[n_]:=A235344(n)
%t A235356 Table[PartitionsQ[f[n]]+1,{n,1,15}]
%Y A235356 Cf. A000009, A000040, A014574, A235343, A235344, A235346, A235357.
%K A235356 nonn
%O A235356 1,1
%A A235356 _Zhi-Wei Sun_, Jan 07 2014