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MR1068813 (91h:11138) 11T06 (11A41)
Kurita, Yoshiharu; Matsumoto, Makoto Primitive $t$-nomials $(t=3,5)$ over ${\rm GF}(2)$ whose degree is a Mersenne exponent $\le 44497$. Math. Comp. 56 (1991), no. 194, 817–821.
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