q-Difference equations occupy a central role in modern mathematical analysis, providing a discrete analogue of differential equations in which the usual derivative is replaced by a finite-difference ...

Supercongruences are congruences between special values of truncated hypergeometric series that hold modulo high powers of primes. Originally motivated by Ramanujan’s remarkable formulae for 1/π, ...

So, a friend of mine was bored one day and came up with this problem on his own (it related closely to some personal circumstances of his own). It intrigued me, but I have not been able to solve it.