Brun–Titchmarsh theorem

In analytic number theory, the Brun–Titchmarsh theorem, named after Viggo Brun and Edward Charles Titchmarsh, is an upper bound on the distribution of prime numbers in arithmetic progression. == Statement == Let π ( x ; q , a ) {\displaystyle \pi (x;q,a)} count the number of primes p congruent to a modulo q with p ≤ x.

Source: Wikipedia — Brun–Titchmarsh theorem (CC BY-SA 4.0)

Brun–Titchmarsh theorem

In analytic number theory, the Brun–Titchmarsh theorem, named after Viggo Brun and Edward Charles Titchmarsh, is an upper bound on the distribution of prime numbers in arithmetic progression. == Statement == Let π ( x ; q , a ) {\displaystyle \pi (x;q,a)} count the number of primes p congruent to a modulo q with p ≤ x.

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Source: Wikipedia "Brun–Titchmarsh theorem" · CC BY-SA 4.0

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