2. Let N = 210. Prove that N-p is prime for every prime p such that N/2 < p < N. Find a prime number q < N/2 such that N - q is composite.

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 19E: Prove that if n is a positive integer greater than 1 such that n is not a prime, then n has a...
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2. Let N = 210. Prove that N-p is prime for every prime p such that
N/2 < p < N. Find a prime number q < N/2 such that N - q is
composite.
Transcribed Image Text:2. Let N = 210. Prove that N-p is prime for every prime p such that N/2 < p < N. Find a prime number q < N/2 such that N - q is composite.
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