Basic HTML version of Foils prepared May 12 1996

Foil 12 Extracting The Relations

From Lessons and Implementation -- RSA Factoring on the Web CRPC Annual Meeting -- May 14-17 1996. by Geoffrey Fox


For places that satisfy threshold constraint, the client workers emit the prime factorizations for the "a"s and print out the matching "b"s.
If there's a set of "a"'s whose product's factorization consists of primes raised to EVEN powers, then the product is a square, and so is the product of all the matching b^2 terms (trivially).
This would give the happy result that
x^2==y^2 (modulo RSA-N), and we'd have our factorization!



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