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A058946
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Coefficients of monic irreducible polynomials over GF(7) listed in lexicographic order.
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15
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10, 11, 12, 13, 14, 15, 16, 101, 102, 104, 113, 114, 116, 122, 123, 125, 131, 135, 136, 141, 145, 146, 152, 153, 155, 163, 164, 166, 1002, 1003, 1004, 1005, 1011, 1016, 1021, 1026, 1032, 1035, 1041, 1046, 1052, 1055, 1062, 1065, 1101, 1103, 1112, 1115
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| R. Church, Tables of irreducible polynomials for the first four prime moduli, Annals Math., 36 (1935), 198-209.
R. Lidl and H. Niederreiter, Finite Fields, Addison-Wesley, 1983, Table C, pp. 560-562.
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..728 (through degree 4)
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MATHEMATICA
| A058946 = Union[ Reap[ Do[ a = Reverse[ IntegerDigits[n, 7]]; b = {0}; la = Length[a]; k = 1; While[k < la + 1, b = Append[b, a[[k]]*x^(k - 1)]; k++]; b = Plus @@ b; c = Factor[b, Modulus -> 7]; id = IntegerDigits[n, 7]; If[b == c && (id == {1, 0} || id[[-1]] != 0), Sow[ FromDigits[id]]], {n, 7, 450}]][[2, 1]]](* From Jean-François Alcover, Feb 13 2012, after A058943 *)
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CROSSREFS
| Cf. A058943-A058947.
Irreducible over GF(2), GF(3), GF(4), GF(5), GF(7): A058943, A058944, A058948, A058945, this sequence. Primitive irreducible over GF(2), GF(3), GF(4), GF(5), GF(7): A058947, A058949, A058952, A058950, A058951.
Sequence in context: A124367 A008711 A008710 * A118379 A174397 A173688
Adjacent sequences: A058943 A058944 A058945 * A058947 A058948 A058949
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KEYWORD
| nonn,easy,nice,changed
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jan 13 2001
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EXTENSIONS
| Church's table extends through degree 3.
More terms from David Wasserman (wasserma(AT)spawar.navy.mil), May 23 2002
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