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A formula for the class number $h$ of the imaginary quadratic field$Q(\sqrt{-p}$ is obtained by counting on a specific way the quadratic residuesof a prime number of the form $p=4n-1.$ Formulas for the sum of the quadraticresidues are also found.

A computable formula for the class number of the imaginary quadratic field $Q(\sqrt{-p}), \ p=4n-1$