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Search: id:A058944
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| A058944 |
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Coefficients of monic irreducible polynomials over GF(3) listed in lexicographic order. |
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+0
11
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| 10, 11, 12, 101, 112, 122, 1021, 1022, 1102, 1112, 1121, 1201, 1211, 1222, 10012, 10022, 10102, 10111, 10121, 10202, 11002, 11021, 11101, 11111, 11122, 11222, 12002, 12011, 12101, 12112, 12121, 12212, 100021, 100022, 100112, 100211
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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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. 555-557.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1318 (through degree 8)
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EXAMPLE
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The first few are x, x+1, x+2; x^2+1, x^2+x+2, x^2+2x+2; ... Note that x is irreducible but not primitive.
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CROSSREFS
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Cf. A058943, A058945-A058948.
Irreducible over GF(2), GF(3), GF(4), GF(5), GF(7): A058943, this sequence, A058948, A058945, A058946. Primitive irreducible over GF(2), GF(3), GF(4), GF(5), GF(7): A058947, A058949, A058952, A058950, A058951.
Sequence in context: A048024 A048002 A125098 this_sequence A167178 A077677 A107741
Adjacent sequences: A058941 A058942 A058943 this_sequence A058945 A058946 A058947
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Jan 13 2001
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EXTENSIONS
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Church's table extends through degree 7.
More terms from David Wasserman (wasserma(AT)spawar.navy.mil), May 23 2002
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