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A138935 Indices k such that A019323(k)=Phi[k](5) is prime, where Phi is a cyclotomic polynomial. 3

%I #14 Nov 11 2019 10:26:24

%S 3,7,10,11,12,13,24,28,47,48,49,56,57,88,90,92,108,110,116,120,127,

%T 134,141,149,161,181,198,202,206,236,248,288,357,384,420,458,500,530,

%U 536,619,620,694,798,897,929,981,992,1064,1134,1230,1670,1807,2094,2369

%N Indices k such that A019323(k)=Phi[k](5) is prime, where Phi is a cyclotomic polynomial.

%C Can there be an odd multiple of 5 in this sequence?

%H Robert Price, <a href="/A138935/b138935.txt">Table of n, a(n) for n = 1..110</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[#, 5]] &]

%o (PARI) for( i=1,999, ispseudoprime( polcyclo(i,5)) &&& print1( i",")) /* use ...subst(polcyclo(i),x,5)... in PARI < 2.4.2 */

%Y Cf. A019323, A138920-A138940.

%K nonn

%O 1,1

%A _M. F. Hasler_, Apr 03 2008

%E a(48)-a(54) from _Robert Price_, Apr 14 2012

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Last modified August 13 15:21 EDT 2024. Contains 375142 sequences. (Running on oeis4.)