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A057484
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Numbers n such that x^n + x^5 + x^4 + x^3 + x^2 + x + 1 is irreducible over GF(2).
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0
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1, 2, 3, 4, 5, 7, 8, 12, 14, 16, 17, 18, 19, 21, 23, 36, 37, 42, 61, 88, 112, 147, 171, 239, 253, 302, 304, 333, 402, 472, 597, 619, 718, 824, 1011, 1127, 1347, 1653, 1726, 1813, 3043, 3449, 4123, 4208, 5493, 7702, 8512, 10371, 13942, 14687, 20174, 22027, 24067, 25799, 28716, 29774, 31026, 31923, 33406, 34347, 42569, 52533, 54349
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OFFSET
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1,2
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LINKS
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PROG
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(Sage)
P.<x> = GF(2)[]
for n in range(1, 10^5):
p = (x^n + x^5 + x^4 + x^3 + x^2 + x + 1);
if p.is_irreducible():
print(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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EXTENSIONS
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Added terms 1, 2, 3, 4, 5 and terms >= 824, Joerg Arndt, Apr 28 2012
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STATUS
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approved
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