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#dirichlet's_theorem_on_arithmetic_progressions

Dirichlet's theorem on arithmetic progressions

Theorem on the number of primes in arithmetic sequences

In number theory, Dirichlet's theorem, also called the Dirichlet prime number theorem, states that for any two positive coprime integers a and d, there are infinitely many primes of the form a + nd, where n is also a positive integer. In other words, there are infinitely many primes that are congruent to a modulo d. The numbers of the form a + nd form an arithmetic progression

Sun 8th

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Dirichlet's theorem on arithmetic progressions Dirichlet's theorem Primes in arithmetic progression Dirichlet's approximation theorem Prime number theorem Euclid's theorem Analytic number theory Green–Tao theorem Brun–Titchmarsh theorem Legendre's three-square theorem
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