I have never seen a probabilistic approach to FLT but there is a branch of math called Probabilistic Number Theory https://people.math.ethz.ch/~kowalski/probab

I have never seen a probabilistic approach to FLT but there is a branch of math called Probabilistic Number Theory https://people.math.ethz.ch/~kowalski/probabilistic-number-theory.pdf https://people.math.ethz.ch/~kowalski/probabilistic-number-t... I am also not 100% sure Feynman wrote something like this. However the 2014 Fields Medal was awarded to Manjul Bhargava for studying random elliptic curves. https://www.quantamagazine.org/20140812-the-musical-magical-number-theorist/ https://www.quantamagazine.org/20140812-the-musical-magical-...