Registry · Definition III.D97 established formalized

III.D97 — Radical Function

Radical of n: product of distinct prime divisors. rad(1)=1, rad(p^k)=p, rad(pq)=pq. Idempotent (rad(rad(n))=rad(n)). On primorial tower, rad(M_k)=M_k (squarefree).

Book III Part 10 Ch. 81

Dependency Graph

Depends on (1)

Depended on by (7)

Lean Formalization

Module: TauLib.BookIII.Arithmetic.ABCConjecture

Symbol: radical