A235357 Primes of the form q(m) - 1 with m - 1 and m + 1 both prime, where q(.) is the strict partition function (A000009).

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

Zhi-Wei Sun, Table of n, a(n) for n = 1..25

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}]

Crossrefs

Cf. A000009, A000040, A014574, A235343, A235344, A235346, A235356.

Sequence in context: A058433 A154998 A036236 * A260002 A368723 A058447

Adjacent sequences: A235354 A235355 A235356 * A235358 A235359 A235360

Keyword

nonn,hard

Author

Zhi-Wei Sun, Jan 07 2014

Status

approved