# Machine learning applications in number theory

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

I 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? 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? Jun 19 '15 at 14:57
• Also possibly of interest: mathoverflow.net/q/390174/2312 on applications of deep learning to research mathematics
– J W
Apr 16 '21 at 6:13
• I saw some stuff in the early 00's, where they were trying to predict primality using digit values in the number via GA's. My computer was waaaaay to small to get in on it. Apr 16 '21 at 13:43