Large Primes are difficult to find !!!
Number Theory
Level
3
Find the number of primes such that
The answer is 0.
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1 solution
For 1 9 9 9 ! + n (1 < n < 1999) n is a factor of the whole expression, leaving no primes in the given range. In fact a similar expression can be used to show that generally consecutive primes get further and further apart as they get larger.