Ten new primitive binary trinomials
Richard P. Brent, Paul A. Zimmermann · Mathematics of Computation · 2008
We exhibit ten new primitive trinomials over GF(2) of record degrees 24 036 583 24\,036\,583 , 25 964 951 25\,964\,951 , 30 402 457 30\,402\,457 , and 32 582 657 32\,582\,657 . This completes the search for the currently known Mersenne prime exponents.