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The Elementary Proof of the Prime Number Theorem

The Elementary Proof of the Prime Number Theorem

rime numbers are the atoms of our mathematical universe.Euclid showed that there are infinitely many primes, but the subtleties of their distribution continue to fascinate mathematicians.Letting p(n) denote the number of primes p B n, Gauss conjectured in the early nineteenth century that pðnÞ $ n=lnðnÞ.In 1896, this conjecture was …