# Prime and Nonprime Numbers : Multiplication

Does a prime number multiplied by a prime number ever result in a prime - Why? Does a nonprime multiplied by a nonprime ever result in a prime - why? Is it possible for an extremely large prime to be expressed as a large integer raised to a very large power? Explain. Are there infinitely many natural numbers that are not prime? If so, prove it.

Â© BrainMass Inc. brainmass.com March 4, 2021, 6:25 pm ad1c9bdddfhttps://brainmass.com/math/number-theory/prime-and-nonprime-numbers-multiplication-44378

#### Solution Preview

A prime number (or prime integer, often simply called a "prime" for short) is a positive integer >1 that has no positive integer divisors other than 1 and itself. (More concisely, a prime number p is a positive integer having exactly one positive divisor other than 1. (Positive integers other than 1 which are not prime are called composite ...

#### Solution Summary

Multiplication of prime and nonprime numbers is investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.