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The term "elementary proof" or "elementary techniques" in mathematics means [[proof | proofs]] that use only [[real numbers]] or real analysis rather than the use of complex analysis.<ref>http://mathworld.wolfram.com/ElementaryProof.html</ref>  

The term "elementary proof" or "elementary techniques" in mathematics means [[proof | proofs]] that use only [[real numbers]] or [[real analysis]] rather than the use of [[complex analysis]].<ref>http://mathworld.wolfram.com/ElementaryProof.html</ref>  

The prime number theorem has long been proven using complex analysis (Riemann's zeta function), but in 1949 and 1950 an elementary proof by [[Paul Erdos]] and [[Atle Selberg]] earned Selberg the highest prize in math, the Fields medal.

The prime number theorem has long been proven using complex analysis (Riemann's zeta function), but in 1949 and 1950 an elementary proof by [[Paul Erdos]] and [[Atle Selberg]] earned Selberg the highest prize in math, the [[Fields Medal]].

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