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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 25, 2021
 #1
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 a mod 3 = 2
a mod 5 = 4
a mod 7 = 1
a mod 9 = 8, solve for a

 

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

When n= 0, the smallest "a" ==134

 Jan 26, 2021

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