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A111036 Numbers n such that p(6n) is prime, where p(n) is the number of partitions of n. 14
1, 6, 22, 28, 31, 36, 61, 83, 91, 181, 216, 263, 356, 417, 418, 428, 528, 557, 777, 1133, 1243, 1408, 2170, 2708, 3046, 3867, 5100, 5540, 5662, 7418, 9397, 12110, 12797, 14787, 16161, 16482, 18022, 19431, 19667, 21180, 22011, 22720, 23560, 27903 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
EXAMPLE
If n=91 then p(6n) = 27833079238879849385687 (prime).
MATHEMATICA
Select[ Range[33333], PrimeQ[ PartitionsP[6# ]] &] (* Robert G. Wilson v *)
PROG
(PARI) is(n)=isprime(numbpart(6*n)) \\ Charles R Greathouse IV, Feb 17 2017
CROSSREFS
Sequence in context: A095411 A242592 A044448 * A055709 A276795 A037204
KEYWORD
nonn
AUTHOR
Parthasarathy Nambi, Nov 11 2005
EXTENSIONS
a(10)-a(45) from Robert G. Wilson v, Nov 14 2005
STATUS
approved

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Last modified April 17 22:02 EDT 2024. Contains 371767 sequences. (Running on oeis4.)