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Numbers n such that (n^59+1)/(n+1) is prime.
1

%I #15 Sep 08 2022 08:46:13

%S 6,9,25,46,89,92,109,133,136,140,167,173,213,239,255,277,337,350,359,

%T 553,554,586,594,599,639,692,710,815,860,864,1015,1030,1050,1094,1106,

%U 1110,1112,1195,1199,1211,1216,1260,1347,1363,1370,1459,1476,1477,1507,1541

%N Numbers n such that (n^59+1)/(n+1) is prime.

%H Tim Johannes Ohrtmann, <a href="/A260565/b260565.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[Range[1, 10000], PrimeQ[(#^59 + 1)/(# + 1)] &]

%o (PARI) for(n=1,10000, if(isprime((n^59+1)/(n+1)), print1(n,", ")))

%o (Magma) [n: n in [1..10000] |IsPrime((n^59 + 1) div (n + 1))]

%Y Cf. A055494, A246392, A250174, A250178, A250181, A250185, A250187, A250193, A260558-A260573.

%K nonn

%O 1,1

%A _Tim Johannes Ohrtmann_, Jul 29 2015