Euclid's algorithm. Divisors; prime numbers; greatest common divisor; relatively prime. The greatest common divisor lies in the span of the numbers; characterization of relative primeness; Fundamental Theorem of Arithmetic (unique factorization into primes); Euclid's proof of the infinitude of primes. Infinite products. Condition implying the convergence of an infinite product.
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 number theory Mahematics
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 number theory, math
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