User joe - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-19T04:14:43Z http://mathoverflow.net/feeds/user/8812 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/36832/why-is-the-largest-signed-32-bit-integer-prime Why is the largest signed 32 bit integer prime? Joe 2010-08-27T02:40:28Z 2010-08-29T00:26:17Z <p>This may be subjective, but does anyone have any insight into why this is the case? This struck me while considering that it's also the eigth Mersenne prime (2^31-1=2147483647). </p> <blockquote> <p>I'm now wondering why this might be the case.</p> </blockquote> <p><strong>UPDATE:</strong> It's been pointed out that the relationship doesn't necessarily hold for larger storage classes, e.g., 2^63 - 1 is not prime.</p> http://mathoverflow.net/questions/36832/why-is-the-largest-signed-32-bit-integer-prime/36835#36835 Comment by Joe Joe 2010-08-27T03:33:22Z 2010-08-27T03:33:22Z Thank you so much! http://mathoverflow.net/questions/36832/why-is-the-largest-signed-32-bit-integer-prime Comment by Joe Joe 2010-08-27T03:03:29Z 2010-08-27T03:03:29Z That would suggest the largest unsigned value for a 'sufficiently large storage class' may be a decent prime candidate -- more or less Fermat's conjecture mentioned above for sufficiently large n. http://mathoverflow.net/questions/36832/why-is-the-largest-signed-32-bit-integer-prime Comment by Joe Joe 2010-08-27T02:52:04Z 2010-08-27T02:52:04Z Thanks. Yes, I think that's fair. I now even feel a little silly about the question, as vaguely worded as it is. Thanks for the patience... http://mathoverflow.net/questions/36832/why-is-the-largest-signed-32-bit-integer-prime Comment by Joe Joe 2010-08-27T02:44:55Z 2010-08-27T02:44:55Z Thanks, good point.