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challenging challenge

Name: Anonymous 2017-03-19 13:02

Given two random primes, p & q, and the results pz = Z % p, qz = Z % q, find Z

Name: Anonymous 2017-03-21 1:08

qz not pq
pz2 == Z * (Z % q) % p == pz * qz % p
qz2 == Z * (Z % p) % q == pz * qz % q

Difficulty in reversing pz2, qz2 <- pz*qz (naive dlog puzzle?)
Difficulty in reversing pz, qz -> pz*qz (weak factoring puzzle? w/ multi solution)
Difficulty in reversing pz, qz <- Z (naive dlog puzzle?)

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