| Factorial Prime |
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| CATEGORIES ABOUT FACTORIAL PRIME | |
| prime numbers | |
| factorial and binomial topics | |
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: 2 , 3 , 5 , 7 , 23 , 719, 5039, 39916801, 479001599, 87178291199, ... Factorial primes are of interest to Number Theorists because their absence sometimes signals the end or the beginning of a lengthy run of consecutive Composite Number s. For example, the prime following 6227020777 is 6227020867. Factorial primes have a role in the argument that 1 is not a prime number. If ''n'' is a Natural Number and ''p'' is a Prime Number , ''n''! + ''p'' is never a prime for ''p'' < ''n'', because obviously it will be a multiple of ''p'', just as ''n''! is. But ''n''! + 1, even though it certainly is a multiple of 1, can be a prime, specifically, a factorial prime. (The same is also true for ''n''! - ''p'' and ''n''! - 1). EXTERNAL LINKS |
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