880525^2 = 2
2057202^2 = 3
648581^2 = 6
668676^2 = 77
all (mod 2288233)
How would I use this info to factor 2288233.
Now I know I want an x and a y such that x^2 = y^2 mod 2288233.
So should I be trying to express 77 as a combination of the first 3 equations?
Unfortunately that isn't of the form y^2, but instead a^2 + b^2 + c^2...
Looking for any advice.