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A035359 Number of partitions-into-distinct-parts of n (A000009) is a prime. 14
3, 4, 5, 7, 22, 70, 100, 495, 1247, 2072, 320397, 3335367, 16168775, 37472505, 52940251, 78840125, 81191852 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

No other terms below 10^8. - Max Alekseyev, Jul 10 2015

LINKS

Table of n, a(n) for n=1..17.

Eric Weisstein's World of Mathematics, Integer Sequence Primes

Eric Weisstein's World of Mathematics, Partition Function Q

Eric Weisstein's World of Mathematics, Partition Function Q-Congruences

MATHEMATICA

n = 1; A035359 = {}; While[n < 10^7, n++; If[ PrimeQ[ PartitionsQ[n]], Print[n]; AppendTo[A035359, n]]]; A035359 (* Jean-François Alcover, Oct 12 2011 *)

CROSSREFS

Cf. A000009, A046063, A051005, A056848, A265835.

Sequence in context: A295988 A216433 A101761 * A325410 A269719 A214626

Adjacent sequences:  A035356 A035357 A035358 * A035360 A035361 A035362

KEYWORD

nonn,nice,hard,more

AUTHOR

Olivier Gérard

EXTENSIONS

More terms from Eric W. Weisstein

a(12) from Max Alekseyev, Jul 04 2009

a(13)-a(14) from Giovanni Resta, Jun 05 2015, Jun 11 2015

a(15)-a(17) from Max Alekseyev, Jul 10 2015

STATUS

approved

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Last modified May 27 02:54 EDT 2019. Contains 323597 sequences. (Running on oeis4.)