[enzocreti]

I want to proof that




if



23*34^x +5590*y+588 and 223*34^x+5590*y+588 are multiple of 43 for some positive x and y, then they are congruent to 344 mod 559




how to proof it?




example: 23*34^2+5590*2+588 is multiple of 43 and so it is congruent to 344 mod 559