

A260427


Binary codes for polynomials (with coefficients 0 or 1) that are irreducible over Q, but reducible over GF(2).


4



5, 17, 23, 29, 43, 53, 69, 71, 77, 79, 81, 83, 89, 101, 107, 113, 121, 127, 139, 149, 151, 163, 169, 173, 179, 181, 197, 199, 205, 209, 223, 227, 233, 251, 257, 261, 263, 265, 269, 271, 275, 277, 281, 289, 293, 295, 305, 307, 311, 317, 321, 323, 327, 329, 331, 337, 339, 347, 349, 353, 359, 367, 373, 377, 383, 389, 401
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OFFSET

1,1


LINKS

Antti Karttunen, Table of n, a(n) for n = 1..16972


PROG

(PARI)
isA260427(n) = (polisirreducible( Pol(binary(n)) ) && !polisirreducible(Pol(binary(n))*Mod(1, 2)));
n = 0; i = 0; while(n < 65537, n++; if(isA260427(n), i++; write("b260427.txt", i, " ", n)));


CROSSREFS

Intersection of A091242 and A206074.
Subsequence: A260428.
Cf. also A260426, A206075.
Sequence in context: A022141 A322985 A240031 * A091209 A307471 A226671
Adjacent sequences: A260424 A260425 A260426 * A260428 A260429 A260430


KEYWORD

nonn


AUTHOR

Antti Karttunen, Jul 26 2015


STATUS

approved



