Midy's Theorem

If the period of a Repeating Decimal for has an Even number of digits, the sum of the two halves is a string of 9s,where is Prime and is a Reduced Fraction.

References

Rademacher, H. and Toeplitz, O. The Enjoyment of Mathematics: Selections from Mathematics for the Amateur. Princeton, NJ: Princeton University Press, pp. 158-160, 1957.

• Riemann Hypothesis
• Riemannian Geometry
• Riemannian Geometry (Non-Euclidean)
• Riemannian Manifold
• Riemannian Metric
• Riemann Integral
• Riemann-Lebesgue Lemma
• Riemann-Mangoldt Function
• Riemann Mapping Theorem
• Riemann P-Differential Equation
• Riemann P-Series
• Riemann-Roch Theorem
• Riemann Series Theorem
• Riemann's Formula
• Riemann-Siegel Functions
• Riemann's Integral Theorem
• Riemann's Moduli Problem
• Riemann's Moduli Space
• Riemann Space
• Riemann Sphere
• Riemann-Stieltjes Integral
• Riemann Sum
• Riemann Surface
• Riemann Tensor
• Riemann Theta Function