Search: id:A058947
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%I A058947
%S A058947 11,111,1011,1101,10011,11001,100101,101001,101111,110111,
%T A058947 111011,111101,1000011,1011011,1100001,1100111,
%U A058947 1101101,1110011,10000011,10001001,10001111,10010001,10011101,10100111,
               10101011
%N A058947 Coefficients of primitive irreducible polynomials over GF(2) listed in 
               lexicographic order.
%D A058947 R. Church, Tables of irreducible polynomials for the first four prime 
               moduli, Annals Math., 36 (1935), 198-209.
%H A058947 T. D. Noe, <a href="b058947.txt">Table of n, a(n) for n=1..1110</a> (through 
               degree 13)
%H A058947 F. Ruskey, <a href="http://www.theory.cs.uvic.ca/~cos/gen/poly.html">
               Irreducible and Primitive Polynomials over GF(2)</a>
%H A058947 <a href="Sindx_Ge.html#GF2X">Index entries for sequences containing GF(2)[X]-polynomials</
               a>
%e A058947 The first few are x+1; x^2+x+1; x^3+x+1, x^3+x^2+1; ... Note that x is 
               irreducible but not primitive.
%Y A058947 Cf. A000020, A001037, A011260, A058943-A058948.
%Y A058947 Irreducible over GF(2), GF(3), GF(4), GF(5), GF(7): A058943, A058944, 
               A058948, A058945, A058946. Primitive irreducible over GF(2), GF(3), 
               GF(4), GF(5), GF(7): A058947, A058949, A058952, A058950, A058951.
%Y A058947 a(n) = A007088(A091250(n)).
%Y A058947 Sequence in context: A055657 A049121 A143573 this_sequence A101680 A164553 
               A110437
%Y A058947 Adjacent sequences: A058944 A058945 A058946 this_sequence A058948 A058949 
               A058950
%K A058947 nonn,easy,nice
%O A058947 1,1
%A A058947 N. J. A. Sloane (njas(AT)research.att.com), Jan 13 2001
%E A058947 Church's table extends through degree 11.

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