## Quick Reference

For a positive real number *x*, let *π*(*x*) be the number of primes less than or equal to *x*. The Prime Number Theorem says that, as *x* → *∞*,In other words, for large values of *x*, *π*(*x*) is approximately equal to *x*/ln *x*. This gives, in a sense, an idea of what proportion of integers are prime. Proved first in 1896 by Jacques * Hadamard and Charles De La * Vallée-Poussin independently, all proofs are either extremely complicated or based on advanced mathematical ideas.

*Subjects:*
Mathematics.

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