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Numbers n such that n^6 + 545 is prime.
2

%I #29 Apr 03 2023 10:36:11

%S 84,1302,10584,11382,12012,12558,13356,15498,19362,20286,20496,22092,

%T 23142,23772,25452,26418,26502,26544,28644,29274,29778,31374,31962,

%U 35406,36876,37338,39522,40152,40488,41286,42924,43428,45108,46116,47754,47796,48678

%N Numbers n such that n^6 + 545 is prime.

%H Arkadiusz Wesolowski, <a href="/A163592/b163592.txt">Table of n, a(n) for n = 1..1000</a>

%H G. L. Honaker, Jr. and Chris Caldwell, <a href="https://t5k.org/curios/cpage/19149.html">Prime Curios! 545</a>

%t Select[Range[0, 48678, 2], PrimeQ[#^6 + 545] &] (* _Arkadiusz Wesolowski_, Mar 05 2011 *)

%o (Magma) [n : n in [0..48678 by 2] | IsPrime(n^6+545)]; // _Arkadiusz Wesolowski_, Mar 05 2011

%o (PARI) forstep(n=0, 48678, 2, if(isprime(n^6+545), print1(n, ", "))); \\ _Arkadiusz Wesolowski_, Mar 05 2011

%Y Cf. A133870, A161998, A066386, A126893, A119276.

%K nonn

%O 1,1

%A _Arkadiusz Wesolowski_, Aug 01 2009