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math.NT2016
Twelve new primitive binary trinomials
Richard P. Brent, Paul Zimmermann
We exhibit twelve new primitive trinomials over GF(2) of record degrees , , and . In addition we report the first Mersenne exponent not ruled out by S…
math.NT2008★ 1 cited
Landau's function for one million billions
Marc Deleglise, Jean-Louis Nicolas, Paul Zimmermann
Let denote the symmetric group with letters, and the maximal order of an element of . If the standard factorization of into primes…