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6. Prove by CVI that every natural number n > 2 is a product of prime numbers. NOTE. A prime number p is defined to satisfy (a) p > 1 and (b) the only divisors of p are 1 and p.

6. Prove by CVI that every natural number n > 2 is a product of prime numbers. NOTE. A prime number p is defined to satisfy (a) p > 1 and (b) the only divisors of p are 1 and p.

Elements Of Modern Algebra
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 27E: Prove that the least common multiple of two nonzero integers exists and is unique.
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Prove by CVI that every natural number n > 2 is a product NOTE. A prime number p is defined to satisfy (a) p > 1 and (b) the only divisors of p are 1 and p. 6. of prime numbers.
Transcribed Image Text:Prove by CVI that every natural number n > 2 is a product NOTE. A prime number p is defined to satisfy (a) p > 1 and (b) the only divisors of p are 1 and p. 6. of prime numbers.
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