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A138936 Indices n such that A019324(k)=Phi[k](6) is prime, where Phi is a cyclotomic polynomial. 3

%I #13 Nov 11 2019 10:26:35

%S 1,2,3,4,6,7,8,18,21,22,24,29,30,42,50,62,71,86,90,94,118,124,127,144,

%T 154,192,214,271,354,360,411,480,509,558,575,663,764,814,825,874,1028,

%U 1049,1050,1102,1113,1131,1158,1376,1464,1468,1535,1622,1782,1834

%N Indices n such that A019324(k)=Phi[k](6) is prime, where Phi is a cyclotomic polynomial.

%H Robert Price, <a href="/A138936/b138936.txt">Table of n, a(n) for n = 1..103</a>

%H Yves Gallot, <a href="http://yves.gallot.pagesperso-orange.fr/papers/cyclotomic.html">Cyclotomic polynomials and prime numbers</a>

%H <a href="/index/Cy#CyclotomicPolynomialsValuesAtX">Index entries for cyclotomic polynomials, values at X</a>

%t Select[Range[1000], PrimeQ[Cyclotomic[#, 6]] &]

%o (PARI) for( i=1,999, ispseudoprime( polcyclo(i,6)) && print1( i",")) /* use ...subst(polcyclo(i),x,6)... in PARI < 2.4.2 */

%Y Cf. A019324, A138920-A138940.

%K nonn

%O 1,2

%A _M. F. Hasler_, Apr 03 2008

%E a(41)-a(54) from _Robert Price_, Apr 16 2012

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)