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Dirichlet: primes in arithmetic progressions

Contribution grade

Number theory · THEOREM

Reference score430,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Proved infinitely many primes in every coprime arithmetic progression using character-series methods.

Scientific scope

The record is Dirichlet's sole-author 1837 memoir and its infinitude theorem. It does not claim the later prime-number theorem for progressions, asymptotic density estimates or every subsequent development in analytic number theory.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Dirichlet's sole-author 1837 memoir and its infinitude theorem. It does not claim the later prime-number theorem for progressions, asymptotic density estimates or every subsequent development in analytic number theory.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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