Quoting directly from the web page below : "The form n!-1 is prime for n = 3, 4, 6, 7, 12, 14, 30, 32, 33, 38, 94, 166, 324, 379, 469, 546, 974, 1963, 3507, 3610 and 6917."
6917! - 1 has 23560 digits. There are no more such primes up to 10000! - 1.
Chris Caldwell's Prime Pages are the best resource on the whole worldwide web for questions related to prime numbers.
2007-01-04 04:44:16
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answer #1
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answered by Anonymous
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Well, for starters, n=3 and n=4 produce prime numbers of 5 and 23, respectively. Try it out on Excel and see if a pattern emerges.
2007-01-04 02:25:41
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answer #2
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answered by ironduke8159 7
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Nobody knows even if such n's are finitely many or not... There are no easy questions with prime numbers apart from obvious ones. This is not one of them.
2007-01-04 02:58:30
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answer #3
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answered by gianlino 7
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The factorial of n can NOT be a prime. Because the primes are sparser than the natural numbers you will have a composite between them. As an aside: even twin primes have an even number between them. All twin primes except (3, 5) are of the form 6n +/- 1 (http://mathworld.wolfram.com/TwinPrimes.html).
2007-01-04 02:41:54
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answer #4
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answered by Boehme, J 2
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when n=3
n!=6
n!-1=5
so there may be infinite of such prime number
2007-01-04 02:18:40
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answer #5
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answered by miinii 3
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