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Euler prime
In [[number theory]], '''Euler primes''' or '''symmetric primes''' are [[prime number|prime]]s that are the same distance from a given integer. For example 3 and 13 are both 5 units from the number 8, hence are symmetric primes. All [[twin prime]]s, [[cousin prime]]s, and [[sexy prime]]s are symmetric primes. However, one need not stop there; [[Goldbach's conjecture]], for example, implies that there are an infinite number of symmetric primes (not necessarily distinct) — in fact, one or more for all ''n'' &ge; 2. (Let 2''n'' be an even number and ''p'',''q'' primes. If ''p'' + ''q'' = 2''n'', then ''p'',''q'' are symmetric primes over ''n''.)

==See also==
* [[Prime number]]
* [[Twin primes]]
* [[Cousin prime]]
* [[Sexy prime]]

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[[Category:Prime numbers]]
[[fr:Nombre premier d'Euler]]
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