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A236477 Numbers k such that k^3 - k + 1 is prime. 6

%I #14 Mar 01 2020 06:49:01

%S 2,4,6,7,10,11,14,15,19,21,22,25,26,31,35,39,41,42,45,50,52,54,57,62,

%T 75,77,84,85,87,90,92,95,99,101,102,106,111,116,120,125,129,130,132,

%U 134,136,139,140,141,147,155,167,169,176,189,195,202,221,230,237

%N Numbers k such that k^3 - k + 1 is prime.

%H Daniel Starodubtsev, <a href="/A236477/b236477.txt">Table of n, a(n) for n = 1..10000</a>

%e 26^3 - 26 + 1 = 17551 is prime. So 26 is a member of this sequence.

%t Select[Range[250],PrimeQ[#^3-#+1]&] (* _Harvey P. Dale_, Dec 06 2017 *)

%o (Python)

%o import sympy

%o from sympy import isprime

%o {print(n) for n in range(10**3) if isprime(n**3-n+1)}

%o (PARI)

%o s=[]; for(n=1, 500, if(isprime(n^3-n+1), s=concat(s, n))); s \\ _Colin Barker_, Jan 27 2014

%Y Cf. A049407, A126421, A236478.

%K nonn

%O 1,1

%A _Derek Orr_, Jan 26 2014

%E More terms from _Colin Barker_, Jan 27 2014

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Last modified April 23 16:40 EDT 2024. Contains 371916 sequences. (Running on oeis4.)