Dirichlet's theorem on arithmetic progressions
id:
dirichlet-s-theorem-on-arithmetic-progressions-186-6938566
title:
Dirichlet's theorem on arithmetic progressions
text:
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
- a, a + d, a + 2 d, a + 3 d, …, and Dirichlet's theorem states that this sequence contains infinitely many
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wiki
category slug:
encyclopedia
description:
Theorem on the number of primes in arithmetic sequences
original url:
https://en.wikipedia.org/wiki/Dirichlet%27s_theorem_on_arithmetic_progressions
date created:
2002-10-08T22:58:45Z
date modified:
2024-09-08T06:49:26Z
main entity:
{"identifier":"Q550402","url":"https://www.wikidata.org/entity/Q550402"}
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13
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15