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(1) What is gcd(31212021 + 3, 31212021 - 3)? I am aware of 3121 is a prime number, and 2021 is divisible by 43 and 47. But I don't know what to do next

(1) What is gcd(31212021 + 3, 31212021 - 3)? I am aware of 3121 is a prime number, and 2021 is divisible by 43 and 47. But I don't know what to do next

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2021 + + 3, 31212021 - 3)? (1) What is gcd(31214 | am aware of 3121 is a prime number, and 2021 is divisible by 43 and 47. But I don't know what to do next (2) For which pairs (a,b) of positive integers is the following statement true: gcd(c, ab) = gcd(c, a) * gcd(c,b) for all cEN Is there a way to solve it that's not trial and error?
Transcribed Image Text:2021 + + 3, 31212021 - 3)? (1) What is gcd(31214 | am aware of 3121 is a prime number, and 2021 is divisible by 43 and 47. But I don't know what to do next (2) For which pairs (a,b) of positive integers is the following statement true: gcd(c, ab) = gcd(c, a) * gcd(c,b) for all cEN Is there a way to solve it that's not trial and error?
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