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#Crt

2 posts

Number Theory #1 9 min read

Elementary Number Theory — GCD, LCM, Euler, CRT

GCD/LCM properties, Bézout/Frobenius, Euler’s theorem with power-tower reduction and φ-chain technique, congruence system merging via exGCD, CRT, and n! prime factorisation via Legendre’s formula.

Number Theory #4 12 min read

Primality, Factorisation & Residues (Miller-Rabin, Pollard Rho, Tonelli-Shanks)

Miller-Rabin primality test, Pollard Rho factorisation, Tonelli-Shanks for quadratic residues, cubic residues via F_p[t]/(t^3-a), quartic residues by double square root, and general k-th residues via primitive root + BSGS, plus …