3. Prove the following two theorems about pairs of "twin primes," p and (Recall that "twin primes" are primes that differ by 2.) q. b. If p and q are twin primes that are both greater than 5, then the mean of p and g is not a triangular number.
3. Prove the following two theorems about pairs of "twin primes," p and (Recall that "twin primes" are primes that differ by 2.) q. b. If p and q are twin primes that are both greater than 5, then the mean of p and g is not a triangular number.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 33E: Use the fact that 3 is a prime to prove that there do not exist nonzero integers a and b such that...
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