There is no upper limit to the quantity of primes, but there is no known formula for deriving the nth prime.
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There are infinitely many primes. The only [[even]] prime number is 2.
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The only [[even]] prime number is 2.
==Sieve of Eratosthenes==
==Sieve of Eratosthenes==
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{{main|Riemann hypothesis}}
{{main|Riemann hypothesis}}
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Most mathematicians believe a proof of the [[Riemann hypothesis]] is the best hope for discovering some pattern in the distribution of prime numbers. ''The Clay Mathematics Institute'' has offered a one million dollar prize for a proof of the Riemann hypothesis.<ref>http://www.claymath.org/millennium/Riemann_Hypothesis/</ref>
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The [[Riemann hypothesis]] is related to patterns in the distribution of prime numbers. ''The Clay Mathematics Institute'' has offered a one million dollar prize for a proof of the Riemann hypothesis.<ref>http://www.claymath.org/millennium/Riemann_Hypothesis/</ref>