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Created page with "== Introduction == Dirichlet's Theorem on Arithmetic Progressions is a fundamental result in number theory, named after the German mathematician Dirichlet. This theorem asserts that for any two coprime integers \(a\) and \(d\), there are infinitely many prime numbers in the arithmetic progression \(a, a+d, a+2d, a+3d, \ldots\). This result was first proven by Dirichlet in 1837 and has since become a cornerstone of analytic numbe..."