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Suppose that n is a positive integer with the properties: • for any integers a, b, c, • n is not prime and • P10 |n, where p; is the ith prime (i.e., p₁ = 2, p2 = 3, ...). What is the smallest possible value of n? n abc implies that nlab or n|bc or n|ac

Suppose that n is a positive integer with the properties: • for any integers a, b, c, • n is not prime and • P10 |n, where p; is the ith prime (i.e., p₁ = 2, p2 = 3, ...). What is the smallest possible value of n? n abc implies that nlab or n|bc or n|ac

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Intro to Elementary Number Theory homework problem.

 

Suppose that n is a positive integer with the properties: • for any integers a, b, c, • n is not prime and • P10 |n, where p; is the ith prime (i.e., p₁ = 2, p2 = 3, ...). What is the smallest possible value of n? n abc implies that nlab or n|bc or n|ac
Transcribed Image Text:Suppose that n is a positive integer with the properties: • for any integers a, b, c, • n is not prime and • P10 |n, where p; is the ith prime (i.e., p₁ = 2, p2 = 3, ...). What is the smallest possible value of n? n abc implies that nlab or n|bc or n|ac
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