The **Hardy-Littlewood race** has been running now for more than a year on my machine. The Pari code is so short that it is even tweetable. Here are some slides which also mention Gaussian Goldbach:

What do primes have to do with quantum calculus? First of all, analytic number theory is all about calculus. But as mentioned in other places on this blog, there is the case for finitism , the Kustanheimo attempt, particles and primes.