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As the foundation of all numbers, prime numbers have a [[spiritual]] quality that have fascinated [[mathematicians]] and others for all time.  Prime numbers are a great way to learn and teach [[math]], to improve mental acuity and focus, and to understand great works such as the [[Bible]].  The two greatest unsolved mysteries in [[mathematics]] relate to prime numbers: whether ever odd number is the sum of two primes ([[Goldbach's conjecture]]). and whether there are [[infinity|infinitely]] many [[twin primes]].

As the foundation of all numbers, prime numbers have a [[spiritual]] quality that have fascinated [[mathematicians]] and others for all time.  Prime numbers are a great way to learn and teach [[math]], to improve mental acuity and focus, and to understand great works such as the [[Bible]].  The two greatest unsolved mysteries in [[mathematics]] relate to prime numbers: whether ever odd number is the sum of two primes ([[Goldbach's conjecture]]). and whether there are [[infinity|infinitely]] many [[twin primes]].

[[Leonhard Euler]] wrote: <blockquote>

[[Leonhard Euler]] wrote: <blockquote>

==Open problems about prime numbers==

==Open problems about prime numbers==

===Twin primes===

===Twin primes===

==Cryptography==

==Cryptography==

The security of [[public-key cryptography]] schemes such as [[RSA]] depend on the difficulty of prime factorization, if a pattern in the distribution of prime numbers is discovered, then such [[cryptographic]] schemes could become vulnerable to attack.

The security of [[public-key cryptography]] schemes such as [[RSA]] depend on the difficulty of prime factorization, if a pattern in the distribution of prime numbers is discovered, then such [[cryptographic]] schemes could become vulnerable to attack.

==See also==

==See also==