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Three Cousins of Recaman's Sequence
Max A. Alekseyev, Joseph Samuel Myers, Richard Schroeppel +3
Although 10^230 terms of Recaman's sequence have been computed, it remains a mystery. Here three distant cousins of that sequence are described, one of which is also mysterious. (i…
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…
The great trinomial hunt
Richard P. Brent, Paul Zimmermann
We describe a search for primitive trinomials of high degree and its interaction with the Great Internet Mersenne prime search (GIMPS). The search is complete for trinomials whose…
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…