There is no simple way since there is no known pattern for the exact distribution of primes. You just have to go and check each number to see whether or not it is a prime.
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'997' is the 168th smallest prime number.
1000 is not a prime number
ANSWER: The first prime number after 1000 is 1009.
There is no such thing. A prime number can only be divided by itself and the number one, all even numbers can be divided by 2. 2 is the only even prime number.
The number is 875 and its prime factors are 5; 5; 5 & 7.