Hidden Phenomena

These articles describe various interesting Diophantine equations. If you're not sure where to start, we recommend Why study Diophantine equations? to see why this is our goal, or to read What is \(\sqrt{-1}\) modulo \(5\)? to see a particularly striking example.

• How to solve cubic and quartic equations II: cubics July 24, 2026
• How to solve cubic and quartic equations I: quartics July 17, 2026
• What is the factorial of 3.5? July 10, 2026
• Infinitely many primes end in a 7 February 22, 2026
• The Riemann hypothesis (or, how to earn $1 million) February 13, 2026
• Why study Diophantine equations? February 10, 2026
• What is \(\log(3)\) modulo \(7\)? February 7, 2026
• What is \(\sqrt{-1}\) modulo \(5\)? February 3, 2026
• Using calculus to do number theory February 2, 2026