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Supose you have a number 12340 that has a prime factorization of 22*5*617. What are the solutions to each of the following? (Use the most efficient method for each problem, some may require different methods. Do not use brute force) x2 ≡ 0(mod 4), x2 ≡ 1(mod 5), x2 ≡ 23(mod 617), and x2 ≡ 1234(mod 12340)

Supose you have a number 12340 that has a prime factorization of 22*5*617. What are the solutions to each of the following? (Use the most efficient method for each problem, some may require different methods. Do not use brute force) x2 ≡ 0(mod 4), x2 ≡ 1(mod 5), x2 ≡ 23(mod 617), and x2 ≡ 1234(mod 12340)

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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Supose you have a number 12340 that has a prime factorization of 22*5*617. What are the solutions to each of the following? (Use the most efficient method for each problem, some may require different methods. Do not use brute force)
x2 ≡ 0(mod 4), x2 ≡ 1(mod 5), x2 ≡ 23(mod 617), and x2 ≡ 1234(mod 12340)
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