Primes just less than a power of two 
(Another of the Prime Pages' resources)
 New record prime: 274,207,281-1 with 22,338,618 digits by Cooper, Woltman, Kurowski, Blosser & GIMPS (7 Jan 2016).


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When designing algorithms, 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>