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Find the smallest positive integer N such that

N mod 4 = 1
N mod 5 = 2
N mod 7 = 3

 Dec 12, 2020
 #1
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Find the smallest positive integer N such that

N mod 4 = 1
N mod 5 = 2
N mod 7 = 3

Using CRT + MMI, we have:

 

N =140m  +  17, where m=0, 1, 2, 3......etc.

The smallest N== 17

 Dec 12, 2020
 #2
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5,9,13,17,21

7, 12, 17

10 , 17

 

17 seems to  be  N

 

 

cool cool cool

 Dec 13, 2020

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