Primes just less than a power of two 
(Another of the Prime Pages' resources)
 GIMPS found two new primes: 243112609-1 (about 12.9 million digits, Aug 08) and 237156667-1 (only 11.1 million digits, Sept 08).


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When designing algortihms, sometimes we need a list of the primes just less than a power of two. For example, we might need the largest 64 bit prime for a random number generator. Below we list links to lists of these primes.

The Prime Pages
Another prime page by Chris K. Caldwell <caldwell@utm.edu>