Making any integer with four 2s (2025)

Mathematicians have been able to express any integer using four 2s through various mathematical operations, including using the Gamma function, integrals, and combinatorial operators. A general solution was found by Paul Dirac in the 1920s, but it uses three instances of the digit 2. By replacing a single digit with sqrt(2+2), any number can be expressed with four 2s.