Prove or disprove: there are infinitely many pairs of prime numbers whose difference is exactly 3. (b) Prove or disprove: there are infinitely many pairs of prime numbers whose difference is a nonzero multiple of 3.
Homework 2 Legal assumptions • You may assume any of the following without proof: the laws of algebra are valid, the sum or difference of two integers is an integer, the product of two integers is an integer. • Additionally, you may use any facts about modular arithmetic/algebra without jus-tification, such as the rules of … Read more