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Relative Prime Probability

This applet is designed to choose random integers and check whether they are relatively prime. This demonstrates the theorem that the probability of two positive integers chosen at random being relatively prime is six divided by pi squared.

6/π2 ≈ 0.6079271018540266

Experiment

MeasurementValue
# Trials0
# Relatively Prime0
Ratio (Prime / Total)0
π ≈ √6 / Ratio0

Generated Integer Pairs

Credits

  • Original Java Applet by Nick Exner (1998)
  • Modified by Michael McKelvey (2002)
  • JavaScript+HTML5 Remake by Evan Ramos (2014)