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A057749
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Prime degrees of absolutely reducible trinomials: primes p such that x^p + x^k + 1 is reducible over GF(2) for all k, p>k>0.
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0
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13, 19, 37, 43, 53, 59, 61, 67, 83, 101, 107, 109, 131, 139, 149, 157, 163, 173, 179, 181, 197, 211, 227, 229, 251, 269, 277, 283, 293, 307, 311, 317, 331, 347, 349, 373, 379, 389, 397, 419, 421, 443, 461, 467, 491, 499, 509, 523, 541, 547, 557, 563, 571
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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MATHEMATICA
| Do[ k = 1; While[ ToString[ Factor[ x^Prime[ n ] + x^k + 1, Modulus -> 2 ] ] != ToString[ x^Prime[ n ] + x^k + 1 ] && k < Prime[ n ], k++ ]; If[ k == Prime[ n ], Print[ Prime[ n ] ] ], {n, 1, 144} ]
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CROSSREFS
| Sequence in context: A154076 A088186 A089490 * A040070 A048523 A000922
Adjacent sequences: A057746 A057747 A057748 * A057750 A057751 A057752
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KEYWORD
| nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 30 2000
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