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 A235356 Primes of the form q(m) + 1 with m - 1 and m + 1 both prime, where q(.) is the strict partition function (A000009). 6
 3, 5, 47, 1427, 36353, 525017, 24782061071, 46193897033, 207839472391, 58195383726460417, 20964758762885249107969, 47573613463034233651201, 35940172290335689735986241, 39297101749677990678763409480449, 538442167350331131544523981355841 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Though the primes in this sequence are very rare, by part (i) of the conjecture in A235343 there should be infinitely many such primes. See A235344 for a list of known numbers m with m - 1, m + 1 and q(m) + 1 all prime. See also A235357 for a similar sequence. LINKS Zhi-Wei Sun, Table of n, a(n) for n = 1..30 FORMULA a(n) = A000009(A235344(n)) + 1. EXAMPLE a(1) = 3 since 3 = q(4) + 1 with 4 - 1 and 4 + 1 both prime. a(2) = 5 since 5 = q(6) + 1 with 6 - 1 and 6 + 1 both prime. MATHEMATICA f[n_]:=A235344(n) Table[PartitionsQ[f[n]]+1, {n, 1, 15}] CROSSREFS Cf. A000009, A000040, A014574, A235343, A235344, A235346, A235357. Sequence in context: A227743 A335752 A343768 * A347593 A120426 A077201 Adjacent sequences:  A235353 A235354 A235355 * A235357 A235358 A235359 KEYWORD nonn AUTHOR Zhi-Wei Sun, Jan 07 2014 STATUS approved

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Last modified October 17 00:35 EDT 2021. Contains 348048 sequences. (Running on oeis4.)