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We present a method to solve integer polynomial equations in two variables, provided that the solution is suitably bounded. As an application, we show how to find the factors of N = PQ if we are given the high order ((1/4) log2 N) bits of P. This compares with Rivest and Shamit's requirement of ((1/3) log2 N) bits.

Finding a Small Root of a Bivariate Integer Equation; Factoring with High Bits Known