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week 8 IA

 
 
Picture of Amy T
week 8 IA
by Amy T - Sunday, April 21, 2019, 12:10 PM
 

Suppose that when the numbers 343460609999 are divided by an integer D>1D>1, they all have the same remainder RR. Find DD and RR.

 
Picture of David Reynoso
Re: week 8 IA
by David Reynoso - Wednesday, April 24, 2019, 10:38 AM
 

Since they have the same remainder $R$ when divided by $D$, the difference of any pair of them should be divisible by $D$. Use this to find the possible values of $D$.