Ten new primitive binary trinomials
Identifieur interne : 004A38 ( Hal/Curation ); précédent : 004A37; suivant : 004A39Ten new primitive binary trinomials
Auteurs : Richard Brent ; Paul Zimmermann [France]Source :
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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.
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<abstract xml:lang="en">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.</abstract>
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