login
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
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
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}]
KEYWORD
nonn
AUTHOR
Zhi-Wei Sun, Jan 07 2014
STATUS
approved