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A035705 Numbers k such that the numbers of partitions and partitions-into-distinct-parts of k have a prime GCD. 3

%I #14 Jul 02 2021 01:53:12

%S 7,8,9,10,19,25,26,27,28,31,32,33,34,35,42,45,48,50,55,57,60,62,64,65,

%T 68,69,74,75,78,79,84,85,86,101,103,105,108,110,111,112,113,119,125,

%U 126,127,129,140,147,148,149,151,153,154,158,160,167,170,173,175,179

%N Numbers k such that the numbers of partitions and partitions-into-distinct-parts of k have a prime GCD.

%H Harvey P. Dale, <a href="/A035705/b035705.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Range[200],PrimeQ[GCD[PartitionsP[#],PartitionsQ[#]]]&] (* _Harvey P. Dale_, Jul 05 2019 *)

%Y Cf. A000009, A000041, A035703, A035704.

%K nonn

%O 1,1

%A _Olivier GĂ©rard_

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Last modified April 20 00:26 EDT 2024. Contains 371798 sequences. (Running on oeis4.)