DIRICHLET'S THEOREM


Meaning of DIRICHLET'S THEOREM in English

statement that there are an infinite number of prime numbers (those not divisible by an integer larger than one except themselves) contained in the collection of all numbers of the form (a n) + b, in which the constants a and b are natural numbers or their negatives, that have no common divisors except the number 1 and themselves, and the variable n is any natural number. Conjectured by the 18th19th-century German mathematician Carl Friedrich Gauss, the statement was first proved in 1826 by the German mathematician Peter Gustav Lejeune Dirichlet.

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