login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Numbers n such that Phi(42,n) is prime, where Phi is the cyclotomic polynomial.
2

%I #12 May 19 2018 02:02:49

%S 2,6,8,11,23,35,41,49,58,65,85,88,97,107,111,139,144,161,170,197,214,

%T 217,223,230,238,247,274,298,301,323,382,389,393,398,403,427,445,452,

%U 473,480,497,511,561,575,595,601,604,606,615,629,651,652,680,685,702,725,762,770,774,781,805,814,912,918,942,987,1030

%N Numbers n such that Phi(42,n) is prime, where Phi is the cyclotomic polynomial.

%H G. C. Greubel, <a href="/A250190/b250190.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[Range[1100], PrimeQ[Cyclotomic[42, #]] &] (* _Vincenzo Librandi_, Jan 16 2015 *)

%o (PARI) {is(n)=isprime(polcyclo(42,n))};

%o for(n=1,1000, if(is(n)==1, print1(n, ", "))) \\ _G. C. Greubel_, May 18 2018

%Y Cf. A246392.

%K nonn

%O 1,1

%A _R. J. Mathar_, Jan 12 2015