the Twin Prime Conjecture

The Twin Prime Conjecture is a mathematical idea that suggests there are infinitely many pairs of prime numbers—numbers only divisible by 1 and themselves—where the two numbers in each pair are just two units apart, like 3 and 5 or 11 and 13. While mathematicians have found many such pairs and believe they go on forever, it has yet to be proven definitively. The conjecture highlights a fascinating pattern in prime numbers, which are the building blocks of numbers and have many important applications in mathematics and cryptography.