Problem

A positive integer n is called prime if n > 1 and the only factors of n are 1 and n....

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 The 1230th prime number is 10007. 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 1230 prime numbers or t is not divisible by any of the first 1230 prime numbers. Write a program that declares an array of size 1230and stores the first 1230 prime numbers in this array. The program then uses the first 1230 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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