This is like the mathematical version of trying to build a perpetual motion machine for a science fair project. At 16, I may not have known enough make the GP's argument, but I would have the intellectual humility to pick a project I can reasonably understand.
"As a self taught programmer of age 16, I knew from the start that taking on the complex topic of neural networks and then trying to combine it with the famously difficult field of prime numbers would be a challenge."
... and I read on and I am suitably impressed - good skills.