Application of Chinese Remainder Theorem (II)
Find the least positive integer that yields the remainders 1,3 and 5 when divided by 5,7 and 9 respectively.
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Linear Congruences
Application of Chinese Remainder Theorem (II)
Written by :- Thokchom Sarojkumar Sinha
Find the least positive integer that yields the remainders 1,3 and 5 when divided by 5,7 and 9 respectively.
Solution :- First of all we have to use the following congruences to solve the problem.
x ≡ 1 (mod 5)
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Solution Summary
This solution is comprised of a detailed explanation for finding the least positive integer by using the Chinese Remainder Theorem.
It contains step-by-step explanation for finding the least positive integer that yields the remainders 1,3 and 5 when divided by 5,7 and 9 respectively.
Solution contains detailed step-by-step explanation.