Re: How to find a solution to this equation so the result is a perfect square ?

So, do you mean only square roots of a are the solution ? In the current 
example, I volontarily took a long a in the case it’s hard to factorize 
(up to 1024). On the other end, I don’t need a specific end result, but 
just for it to be a square…

And even then, what about the case I know a square root 
of 20422354090808007360481140437163150058277495681745577657420405131241 
mod 53919893334301279589334030174040979997534463873026188556492192357233 
(taking back the example) ?

Cordialement,