show that number of primes are infinite
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Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers. ... It was first proved by Euclid in his work Elements.
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Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers. ... It was first proved by Euclid in his work Elements.
Generalizations: Dirichlet's theorem on arithmetic progressions; Prime number theor...
First proof by: Euclid
First proof in: c. 300 BCE
Field: Number theory
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