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A250185 Numbers n such that Phi(34,n) is prime, where Phi is the cyclotomic polynomial. 18

%I #12 Sep 08 2022 08:46:10

%S 2,7,13,17,19,41,48,58,59,66,86,129,133,139,143,146,149,166,167,231,

%T 268,270,299,328,359,387,397,408,469,523,527,534,541,553,555,569,582,

%U 583,600,608,634,664,667,672,673,709,714,720,725,733,746,759,776,802,808,822,860,870,877,892,896,902,911,962,970,975,1034,1050,1051,1082

%N Numbers n such that Phi(34,n) is prime, where Phi is the cyclotomic polynomial.

%H G. C. Greubel, <a href="/A250185/b250185.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[Range[2000], PrimeQ[(#^17 + 1) / (# + 1)] &] (* _Vincenzo Librandi_, Jan 15 2015 *)

%o (Magma) [n: n in [1..2000]| IsPrime((n^17+1) div (n+1))]; // _Vincenzo Librandi_, Jan 15 2015

%o (PARI) is(n)=isprime(polcyclo(34,n)) \\ _Charles R Greathouse IV_, Sep 08 2015

%Y Cf. A246392.

%K nonn

%O 1,1

%A _R. J. Mathar_, Jan 12 2015

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)