TITLE: What is the largest prime less than 2^31?
QUESTION [9 upvotes]: I'm sorry for this kind of specific question, I'd love if you could link to resources (prime lists, etc) that can answer similar questions more generically.

REPLY [8 votes]: http://www.prime-numbers.org/prime-number-2147480000-2147485000.htm tells you that it's 2147483647 (about 2/3rds of the way down, third column).  This website seems like a good resource if you're looking for lots of primes.