7
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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.

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    ...and it works on Wolfram Alpha too: http://www.wolframalpha.com/input/?i=NextPrime%5B2%5E31%2C-1%5D2010-11-12

2 Answers 2

6

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.

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    Thank you, that list was exactly what I needed.2010-11-12
13

It is $2^{31}-1$. You might want to check Mersenne prime for similar details.

http://en.wikipedia.org/wiki/Mersenne_prime

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    Here's Euler's proof: http://www.math.dartmouth.edu/~euler/pages/E461.html Although you might be more interested in the wikipedia page: http://en.wikipedia.org/wiki/21474836472010-11-12