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A239413 Numbers n such that n^5-5 is prime. 6

%I #14 Dec 30 2019 15:07:10

%S 4,12,16,42,102,124,132,144,184,232,274,288,306,316,336,352,406,438,

%T 478,582,606,622,706,742,754,762,814,832,916,922,964,984,996,1026,

%U 1044,1072,1086,1096,1156,1174,1204,1258,1272,1366,1408,1416,1428,1432,1456

%N Numbers n such that n^5-5 is prime.

%C Note that all the numbers in this sequence are even.

%C There is no sequence "Numbers n such that n^4-4 is prime." since n^4 - 4 = (n^2 + 2)(n^2 - 2). - _Michael B. Porter_, Mar 18 2014

%e 4^5-5 = 1019 is prime. Thus, 4 is a member of this sequence.

%t Select[Range[1500],PrimeQ[#^5-5]&] (* _Harvey P. Dale_, Dec 30 2019 *)

%o (Python)

%o import sympy

%o from sympy import isprime

%o {print(n) for n in range(10**4) if isprime(n**5-5)}

%o (PARI) is(n)=isprime(n^5-5) \\ _Charles R Greathouse IV_, Feb 17 2017

%Y Cf. A028870, A153974, A239343.

%K nonn,easy

%O 1,1

%A _Derek Orr_, Mar 17 2014

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Last modified August 14 07:30 EDT 2024. Contains 375146 sequences. (Running on oeis4.)