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Determine the smallest non-negative integer a that satisfies the congruences:

 

a = 2 (mod 3)

a = 4 (mod 5)

a = 1 (mod 7)

a = 8 (mod 9)

 Jan 29, 2022
 #1
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The general solution is:

 

a=315n+134, where n==0, 1, 2, 3.......etc.

 

When n==0,  a==134 - which is the smallest positive integer 

 Jan 29, 2022

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