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A129832
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Integers n such that the n-th cyclotomic polynomial Phi(n) is irreducible over GF(2).
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0
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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, 74, 81, 83, 101, 106, 107, 118, 121, 122, 125, 131, 134, 139, 149, 162, 163, 166, 169, 173, 179, 181, 197
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| 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 (noe(AT)sspectra.com), Jan 03 2008
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EXAMPLE
| 7 is absent from the list as Phi(7) == (x^3 + x + 1)*(x^3 + x^2 + 1) (mod 2)
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PROG
| (PARI) for(x=1, 200, if(polisirreducible(Mod(1, 2)*polcyclo(x)), print1(x", ")))
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CROSSREFS
| Sequence in context: A162923 A107040 A045989 * A166687 A189224 A018762
Adjacent sequences: A129829 A129830 A129831 * A129833 A129834 A129835
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KEYWORD
| easy,nonn
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AUTHOR
| Phil Carmody (pc+oeis(AT)asdf.org), May 21 2007
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