OFFSET
0,1
EXAMPLE
The prime 79 is included because x^79 + x^9 + 1 is irreducible over GF(2). Only the primes 2 and 3 are irreducible for all ks between 0 and p. So far about one-half of all trinomials of a prime power are irreducible over GF(2) for at least one k between 0 and p.
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, 100} ]
CROSSREFS
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, Oct 30 2000
STATUS
approved