Number theory, often called the 'queen of mathematics,' investigates the fundamental properties of integers. Prime numbers — the indivisible building blocks of arithmetic — have fascinated mathematicians for millennia, from Euclid's proof of their infinitude to the Riemann Hypothesis that governs their distribution. These ideas underpin modern cryptography, coding theory, and computational mathematics.
These simulations let you run prime sieves in real time, test Goldbach's conjecture on even numbers, explore modular arithmetic and congruence systems, expand numbers into continued fractions, and visualize how primes thin out along the number line following the Prime Number Theorem.