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A201261 Primes of the form n^3 + 7. 1

%I #24 Sep 08 2022 08:46:01

%S 7,71,223,5839,13831,46663,64007,262151,287503,438983,830591,884743,

%T 1481551,1643039,2985991,3375007,5268031,5639759,5832007,8998919,

%U 11852359,14886943,15625007,18399751,19683007,28652623,29791007,76225031,77308783

%N Primes of the form n^3 + 7.

%C Infinite under the Bateman-Horn-Stemmler conjecture. - _Charles R Greathouse IV_, Jul 13 2012

%C Old name was "Primes of the form 8*n^3 + 7".

%H Vincenzo Librandi and Charles R Greathouse IV, <a href="/A201261/b201261.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[Table[n^3 + 7, {n, 0, 298, 2}], PrimeQ]

%o (Magma) [a: n in [0..300] | IsPrime(a) where a is 8*n^3+7];

%o (PARI) select(isprime,vector(1000,n,8*(n-1)^3+7)) \\ _Charles R Greathouse IV_, Jul 13 2012

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Nov 29 2011

%E Name simplified by _Alex Ratushnyak_, Apr 06 2013

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