3 problems

Ramanujan Machine conjecture. The continued fraction equals

Fast self-correcting $pi$ algorithm conjecture. Algorithm runs in $O(M(n)\log n)$ bit operations.

Let $\mu(\pi)$ denote the irrationality measure of $\pi$, namely the infimum of the real numbers $\mu$ for which the inequality $\left|\pi-p/q\right|<1/q^{\mu}$ has only finitely m…