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A235357
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, 4919887991, 28253252977151, 20964758762885249107967, 47573613463034233651199, 12796446358667905839216959, 10712934162879755412803989317623807, 33014011446550388413724585366558782455972162239
OFFSET
1,1
COMMENTS
Though the primes in this sequence are very rare, by part (ii) of the conjecture in A235343, there should be infinitely many such primes.
See A235346 for a list of known numbers m with m - 1, m + 1 and q(m) - 1 all prime.
See also A235356 for a similar sequence.
LINKS
FORMULA
a(n) = A000009(A235346(n)) - 1.
EXAMPLE
a(1) = 3 since 3 = q(6) - 1 with 6 - 1 and 6 + 1 both prime.
MATHEMATICA
g[n_]:=A235346(n)
Table[PartitionsQ[g[n]]-1, {n, 1, 10}]
KEYWORD
nonn,hard
AUTHOR
Zhi-Wei Sun, Jan 07 2014
STATUS
approved