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A234647 Primes of the form q(p) - 1, where p is a prime and q(.) is the strict partition function (A000009). 3
2, 11, 17, 37, 53, 103, 1259, 1609, 5119, 9791, 70487, 570077, 20792119, 281138047, 23515017983, 35692320959, 48626519093, 3626048321047, 27077619952639, 1651411233432319, 10743948315198451, 13378670620050079, 39413984631175423, 58553713102334907283, 145464242180631569963, 25408177717067357968543, 1374387931601409538722802926765483199, 20557774525717988142856527912112710143, 326033386646595458662191828888146112979, 27403889354101748193301659902924397784656229 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Though the primes in this sequence are very rare, by the conjecture in A234615 there should be infinitely many such primes.

See A234644 for a list of known primes p with q(p) - 1 prime.

LINKS

Zhi-Wei Sun, Table of n, a(n) for n = 1..100

FORMULA

a(n) = A000009(A234615(n)) - 1.

MAPLE

a(1) = 2 since 2 = q(5) - 1 with 2 and 5 both prime.

MATHEMATICA

p[n_]:=A234615(n)

Table[PartitionsQ[p[n]]-1, {n, 1, 30}]

CROSSREFS

Cf. A000009, A000040, A234366, A234470, A234475, A234514, A234530, A234567, A234569, A234572, A234615, A234644

Sequence in context: A091735 A252657 A296053 * A106949 A236687 A187762

Adjacent sequences:  A234644 A234645 A234646 * A234648 A234649 A234650

KEYWORD

nonn

AUTHOR

Zhi-Wei Sun, Dec 29 2013

STATUS

approved

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Last modified April 20 16:17 EDT 2019. Contains 322310 sequences. (Running on oeis4.)