Mertens Function Calculator

M(n) = Σμ(k)

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About Mertens Function Calculator

A Mertens function calculator computing M(n) = Σ_{k=1}^{n} μ(k). The Mertens conjecture (|M(n)| < √n) is FALSE — disproved by Odlyzko & te Riele (1985). But RH ⟺ M(n) = O(n^{1/2+ε}). Shows cumulative values and growth. Client-side.

Mertens Function Calculator Features

  • M(n) computation
  • μ(k) values
  • Conjecture
  • RH connection
  • Graph

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