English

The great trinomial hunt

Number Theory 2011-04-07 v1 Discrete Mathematics

Abstract

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 degree is the exponent of a Mersenne prime, for all 47 currently known Mersenne primes.

Cite

@article{arxiv.1005.1967,
  title  = {The great trinomial hunt},
  author = {Richard P. Brent and Paul Zimmermann},
  journal= {arXiv preprint arXiv:1005.1967},
  year   = {2011}
}

Comments

16 pages. For further details see http://wwwmaths.anu.edu.au/~brent/pub/pub235.html

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