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A128958 Numbers n such that n^2+(n+1)^3 is prime. 2

%I #8 Jun 06 2017 14:24:39

%S 2,3,5,6,12,14,17,20,26,35,36,38,39,48,50,65,66,71,72,74,80,87,89,90,

%T 96,105,107,108,113,114,119,120,122,132,134,135,137,144,146,152,155,

%U 156,158,162,167,168,185,186,200,201,207,213,221,225,230,231,236,237,248

%N Numbers n such that n^2+(n+1)^3 is prime.

%C All terms are {0,2} mod 3. - _Zak Seidov_, Dec 15 2013

%H Zak Seidov, <a href="/A128958/b128958.txt">Table of n, a(n) for n = 1..2000</a>

%e 2^2+3^3=31, 3^2+4^3=73, 5^2+6^3=241, 6^2+7^3=379, 12^2+13^3=2341 all primes.

%t Select[Range[0,300],PrimeQ[ #^2+(#+1)^3]&]

%o (PARI) is(n)=isprime(n^2+(n+1)^3) \\ _Charles R Greathouse IV_, Jun 06 2017

%Y Corresponding primes are in A155933. - _Zak Seidov_, Dec 15 2013

%K nonn,easy

%O 1,1

%A _Zak Seidov_, Apr 28 2007

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Last modified September 18 23:40 EDT 2024. Contains 376002 sequences. (Running on oeis4.)