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.

A129832 Integers n such that the n-th cyclotomic polynomial Phi(n) is irreducible over GF(2).

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%I A129832 #11 Mar 04 2014 03:12:27
%S A129832 1,2,3,5,6,9,10,11,13,18,19,22,25,26,27,29,37,38,50,53,54,58,59,61,67,
%T A129832 74,81,83,101,106,107,118,121,122,125,131,134,139,149,162,163,166,169,
%U A129832 173,179,181,197,202,211,214,227,242,243,250,262,269,278,293
%N A129832 Integers n such that the n-th cyclotomic polynomial Phi(n) is irreducible over GF(2).
%F A129832 This sequence consists of 1, 2 and numbers having primitive root 2 (that is, numbers that are powers of primes p in sequence A001122, or twice powers of p). - _T. D. Noe_, Jan 03 2008
%e A129832 7 is absent from the list as Phi(7) == (x^3 + x + 1)*(x^3 + x^2 + 1) (mod 2).
%t A129832 Select[Range[300], Transpose[Rest[FactorList[Cyclotomic[#, x], Modulus -> 2]]][[2]] == {1} &] (* _T. D. Noe_, Mar 03 2014 *)
%o A129832 (PARI) for(x=1,200,if(polisirreducible(Mod(1,2)*polcyclo(x)),print1(x",")))
%K A129832 easy,nonn
%O A129832 1,2
%A A129832 _Phil Carmody_, May 21 2007