machine learning applications in number theory

is there any research into or applications of machine learning in number theory?

am also looking for (leading examples of) statistical/empirical analysis of number theory questions. also wondering if genetic algorithms in particular have ever been used in these areas.

• Let's assume the distribution of the primes is totally random (with known average density). What you're asking would be for SVM's, logistic regressions, and multilayer NN's to predict, better than random, something that has no pattern. Right? – isomorphismes Jun 19 '15 at 14:51
• We already know to exclude anything not ending in 1,3,7,9. And further results like in a number theory book say others not to check for primality. But what you're looking for is something like "Derive implications like this one?" Maybe it would have to learn on symbols? – isomorphismes Jun 19 '15 at 14:57