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A111036
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Numbers n such that p(6n) is prime, where p(n) is the number of partitions of n.
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14
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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
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..44.
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EXAMPLE
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If n=91 then p(6n) = 27833079238879849385687 (prime).
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MATHEMATICA
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Select[ Range[33333], PrimeQ[ PartitionsP[6# ]] &] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A000041, A046063, A114165, A111389, A111045, A114166, A111036, A114167, A114168, A114169, A114170.
Sequence in context: A095411 A242592 A044448 * A055709 A037204 A035285
Adjacent sequences: A111033 A111034 A111035 * A111037 A111038 A111039
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KEYWORD
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nonn
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AUTHOR
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Parthasarathy Nambi, Nov 11 2005
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EXTENSIONS
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a(10)-a(45) from Robert G. Wilson v, Nov 14 2005
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STATUS
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approved
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