Sum of Consecutive Prime NumbersDate: 6/29/96 at 16:21:59 From: Anonymous Subject: Sum of Two Consecutive Prime Numbers Dear Dr. Math, Why is it that the sum of two consecutive prime numbers is always going to be double a composite number? Thanks! Date: 7/10/96 at 10:40:4 From: Doctor Ethan Subject: Re: Sum of Two Consecutive Prime Numbers Note that p and q are consecutive primes, so every x between p and q is composite. Since p+q is even, (p+q)/2 is an integer and is strictly between p and q; thus it must be composite. -Doctor Ethan, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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