

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
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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

ZhiWei 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

ZhiWei Sun, Jan 07 2014


STATUS

approved



