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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

%I #7 Dec 30 2013 22:49:49

%S 2,11,17,37,53,103,1259,1609,5119,9791,70487,570077,20792119,

%T 281138047,23515017983,35692320959,48626519093,3626048321047,

%U 27077619952639,1651411233432319,10743948315198451,13378670620050079,39413984631175423,58553713102334907283,145464242180631569963,25408177717067357968543,1374387931601409538722802926765483199,20557774525717988142856527912112710143,326033386646595458662191828888146112979,27403889354101748193301659902924397784656229

%N Primes of the form q(p) - 1, where p is a prime and q(.) is the strict partition function (A000009).

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

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

%H Zhi-Wei Sun, <a href="/A234647/b234647.txt">Table of n, a(n) for n = 1..100</a>

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

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

%t p[n_]:=A234615(n)

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

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

%K nonn

%O 1,1

%A _Zhi-Wei Sun_, Dec 29 2013

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Last modified August 19 08:28 EDT 2024. Contains 375284 sequences. (Running on oeis4.)