Prime number factorial

In Mathematical, a prime number factorial is a number which is equal to a Factorielle more 1 or less 1 and which is also a Prime number. The first small numbers first factorial are:

2, 3, 5, 7, 23, 719,5039,39916801,479001599,87178291199,…

The prime numbers factorial have an interest for the Théorie of the sometimes numbers because they announce the end or the beginning of extraordinary long series of made up numbers consecutive. For example, the prime number following 479.001.599 is 479.001.629.

The prime numbers factorial play a part in the argument that 1 is not a prime number. $n! + p$ is never first for $p < n$ because of it will be a multiple of $p$ , just like $n!$ . On the other hand, $n! + 1$ , although it is a multiple of 1, can be first. More specifically, it can be a prime number factorial. This is also true for $n! - p$ and $n! - 1$ .

External bond

http://mathworld.wolfram.com/FactorialPrime.html

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