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What is the remainder when 2013^2013 is divided by 13?

 

What is the remainder when 17^77 is divided by 35?

 

What is the remainder when 2+4+6+...+100 is divided by 7?

 

For how many positive integers n less than 100 is \(5^n+8^{n+1}+13^{n+2}\) a multiple of 6?

 Oct 15, 2020
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What is the remainder when 2013^2013 is divided by 13? = 8 the remainder.

 

What is the remainder when 17^77 is divided by 35? =12 the remainder

 

What is the remainder when 2+4+6+...+100 is divided by 7? =2550 mod 7 =2 the remainder.

 

For how many positive integers n less than 100 is  a multiple of 6? [Cannot find a single number that is a multiple of 6 !!!]

 
 Oct 15, 2020

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