The great trinomial hunt
arXiv:1005.1967
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.
16 pages. For further details see http://wwwmaths.anu.edu.au/~brent/pub/pub235.html