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URL: https://oeis.org/A239701

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A239701
Least k > 0 such that q(n)+k is prime, where q(n) is the number of strict partitions of n.
1
1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 1, 2, 1, 1, 2, 5, 3, 1, 5, 3, 3, 8, 3, 5, 7, 2, 1, 1, 1, 11, 7, 7, 1, 9, 2, 5, 1, 13, 1, 4, 17, 1, 3, 7, 5, 5, 1, 7, 7, 1, 2, 1, 27, 19, 1, 1, 2, 11, 11, 3, 21, 3, 3, 3, 11, 11, 9, 17, 13, 20, 1, 1, 5, 7, 3, 17, 12
OFFSET
0,6
COMMENTS
Conjecture of Zhi-Wei Sun: a(n) <= n for n > 0.
LINKS
Zhi-Wei Sun, Problems on combinatorial properties of primes, arXiv:1402.6641 [math.NT], 2014-2016. See Conjecture 4.1(i).
MATHEMATICA
a[n_] := For[k = 1, True, k++, If[PrimeQ[PartitionsQ[n] + k], Return[k]]];
Table[a[n], {n, 0, 100}] (* Jean-François Alcover, Feb 19 2019 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Sean A. Irvine, Mar 24 2014
STATUS
approved