Making any integer with four 2s (2025)

Mathematician Paul Dirac discovered a general formula using nested square roots and logarithms that can express any natural number using exactly four instances of the digit 2, solving a popular math puzzle that had entertained mathematicians since the 1920s. The solution cleverly uses the identity 2=√(2+2) to ensure exactly four 2s appear in the formula, making it possible to represent any integer through repeated square roots followed by logarithmic operations.