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A121558 Primes of the form n + partition number of n. 3

%I #17 Mar 04 2018 03:10:38

%S 2,3,5,17,23,31,73,97,127,167,191,797,1021,1153,1301,3313,9851,40099,

%T 206939,345953,444893,570181,2032409,10327297,15757649,40982701,

%U 69545527,281138239,657667789,1333640927,32173820179,48626519377

%N Primes of the form n + partition number of n.

%C Numbers n such that n + A000009(n) is prime are in A121557.

%H Robert G. Wilson v, <a href="/A121558/b121558.txt">Table of n, a(n) for n = 1..366 </a>

%t okQ[n_]:=PrimeQ[n+PartitionsQ[n]]; genno[x_]:=x+PartitionsQ[x]; genno/@Select[Range[30000],okQ] (* _Harvey P. Dale_, Jul 25 2009 *)

%o (PARI) P=prod(k=1, 1000, 1+x^k, 1+x*O(x^1000)); for(n=1,1000,t=n+polcoeff(P,n);if(isprime(t),print1(t,","))) \\ _Hagen von Eitzen_, Jul 25 2009

%o (PARI) for(n=1, 1e3, if(isprime(t=n+numbpart(n)), print1(t", "))) \\ _Charles R Greathouse IV_, Feb 15 2011

%Y Cf. A000009, A000040, A121557.

%K nonn

%O 1,1

%A _Jonathan Vos Post_, Aug 07 2006, Aug 09 2006

%E Terms following 3313 filled in, and all subsequent terms corrected, by _Harvey P. Dale_, _Hagen von Eitzen_ and _Ray Chandler_, Jul 25 2009

%E Edited by _N. J. A. Sloane_, Aug 17 2009

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)