Krattenthaler conjecture on prescribed binomial divisibility

Let $m$ be a positive integer. Krattenthaler's conjecture. There exist positive integers $a$ and $b$ satisfying $am>b$ such that

$$\binom{amn}{bn}\equiv0\pmod{an-1}$$

for every integer $n\geq1$. This conjecture concerns constructing binomial coefficients that are universally divisible by the modulus $an-1$ after fixing $m$.