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A304108
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Numbers n such that the (0,1)-polynomial encoded in binary expansion of n has at least one duplicated irreducible divisor when the factorization is done in polynomial ring GF(2)[X].
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4
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4, 5, 8, 10, 12, 15, 16, 17, 20, 21, 24, 27, 28, 30, 32, 34, 36, 39, 40, 42, 44, 45, 48, 51, 52, 54, 56, 57, 60, 63, 64, 65, 68, 69, 72, 75, 76, 78, 80, 81, 84, 85, 88, 90, 92, 95, 96, 99, 100, 102, 104, 105, 107, 108, 112, 114, 116, 119, 120, 124, 125, 126, 128, 130, 132, 135, 136, 138, 140, 141, 144, 147, 148, 150, 151, 152, 153, 156, 160, 162
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OFFSET
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1,1
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COMMENTS
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LINKS
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EXAMPLE
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PROG
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(PARI)
isA304108(n) = { my(fm=factor(Pol(binary(n))*Mod(1, 2))); for(k=1, #fm~, if(fm[k, 2] > 1, return(1))); (0); };
k=0; n=0; while(k<100, n++; if(isA304108(n), k++; print1(n, ", ")));
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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