Dirichlet's theorem
Jenna Nieminen
and
Pi Han Goh
contributed
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Dirichlet's theorem is a theorem in number theory, which states that for any two coprime positive integers and , there exists an infinite amount of positive integers for which is a prime number.
Find the smallest integer , such that the number above is prime for an infinite number of integers .
Notation:
denotes the factorial notation. For example, .
Cite as:
Dirichlet's theorem.
Brilliant.org.
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19:49, March 29, 2025,
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https://brilliant.org/wiki/dirichlets-theorem/