If n is a positive integer, is there always a prime between n and 2n?
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.7: Problem Solving: Consecutive Integers
Problem 9OE
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If n is a positive integer, is there always a prime between n and 2n?
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Step 1
given that n is a positive integer.
we have to show that there is always a prime number between n and 2n.
By Breusch's interval , there will be at least one prime number in
and there must be at least one prime number p in
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