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Every integer greater than one factors uniquely into primes up to their order.
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Pairwise coprime moduli give a unique combined congruence class modulo their product.
Diophantine equations seek integer or rational solutions rather than unrestricted real solutions.
Euler's totient counts positive residues coprime to a positive integer modulus.
A field is a commutative ring where every nonzero element has a multiplicative inverse.
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Connect functions and counting with elementary number theory, graph structures and algorithmic reasoning. Shared concepts and reviewed map connections organize the path; video explanations are added as resources pass review.
Explore divisibility and congruences; arithmetic functions and equations; prime distribution and advanced connections. Concepts and connections are available independently of video coverage.