Overview
Proof-based number theory needs clear structure. Combine modular arithmetic with factorization and bounding.
Key Ideas
- Use order arguments to prove divisibility claims.
- LTE and lifting are powerful for expressions like .
- Check small primes for contradictions.
Practice Problems
| Status | Source | Problem Name | Difficulty | Tags | ||
|---|---|---|---|---|---|---|
| USAMO | Insane | Show TagsNumber Theory, Orders | ||||
| USAMO | Very Hard | Show TagsNumber Theory | ||||
Module Progress:
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