Final answer:
The statement is true according to Euclid's theorem on the infinitude of prime numbers, which states that for any given prime, one can always find a larger prime.
Step-by-step explanation:
The statement is true: Given a prime number, no matter how large, there is always another prime even larger. This is a fundamental result in number theory known as Euclid's theorem on the infinitude of prime numbers. Euclid provided proof that shows that for any finite list of prime numbers, there is a prime number not on the list. The proof begins by considering the product of all primes in the list and adding one to it. The resulting number is not divisible by any of the primes in the list, thus it is either prime itself or has a prime divisor that is not in the list, showing that there must be additional primes beyond those in any finite list. Therefore, there are infinitely many prime numbers, and one can always find a prime larger than any given prime.