cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A058334 Numbers n such that the trinomial x^n + x + 1 is irreducible over GF(5).

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%I A058334 #21 Apr 17 2020 07:41:12
%S A058334 0,1,2,3,7,18,22,27,31,78,94,115,171,402,438,507,1363,1467,2263,2283,
%T A058334 3627,9247,9955
%N A058334 Numbers n such that the trinomial x^n + x + 1 is irreducible over GF(5).
%C A058334 No other n < 4400. - _Michael Somos_, Mar 12 2007
%C A058334 Next term > 10^4. [_Joerg Arndt_, Mar 02 2016]
%o A058334 (PARI) isok(n) = polisirreducible(Mod(1, 5)*(x^n + x + 1)); \\ _Michel Marcus_, Feb 11 2014
%o A058334 (Sage)
%o A058334 P.<x> = GF(5)[]
%o A058334 for n in range(0, 10000):
%o A058334        if (x^n+x+1).is_irreducible():
%o A058334            print(n)
%o A058334 # _Joerg Arndt_, Mar 02 2016
%Y A058334 Cf. A002475 (GF(2)), A058857 (GF(7)).
%K A058334 nonn,more
%O A058334 1,3
%A A058334 _Robert G. Wilson v_, Dec 13 2000
%E A058334 a(1) and a(2) from _Eric M. Schmidt_, Feb 10 2014
%E A058334 a(22) and a(23) from _Joerg Arndt_, Mar 02 2016