Ten new primitive binary trinomials

Brent, Richard P.; Zimmermann, Paul

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Ten new primitive binary trinomials

Date

2008-08-01

Authors

Brent, Richard P.

Zimmermann, Paul

Publisher

American Mathematical Society

Abstract

We exhibit ten new primitive trinomials over GF(2) of record degrees 24 036 583, 25 964 951, 30 402 457, and 32 582 657. This completes the search for the currently known Mersenne prime exponents.