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A positive integer n is called prime if n > 1 and the only factors of n are 1 and n. It is known that a positive integer n > 1 is prime if n is not divisible by any prime integer m≤√n .
The 1230th prime number is 10,007. Let t be an integer such that 2 ≤ t ≤ 100,000,000. Then t is prime if either t is equal to one of the first 1,230 prime numbers or t is not divisible by any of the first 1,230 prime numbers.
Write a program that declares an array of size 1,230 and stores the first 1,230 prime numbers in this array. The program then uses the first 1,230 prime numbers to determine if a number between 2 and 100,000,000 is prime. If a number is not prime, then output at least one of its prime factors.
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