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
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Author:Gilbert, Linda, Jimmie
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Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
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3. Prove the following two theorems about pairs of "twin primes," p and q.
(Recall that "twin primes" are primes that differ by 2.)
b. If p and g are twin primes that are both greater than 5, then the
mean of p and g is not a triangular number.
Transcribed Image Text:3. Prove the following two theorems about pairs of "twin primes," p and q. (Recall that "twin primes" are primes that differ by 2.) b. If p and g are twin primes that are both greater than 5, then the mean of p and g is not a triangular number.
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