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MCIII Number Theory 2.26

 
 
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Re: MCIII Number Theory 2.26
by Tina Jin - Thursday, 4 January 2024, 9:58 PM
 

I see, this is what I did:

Adding by any number does not change the sum mod 3 because it is adding by 3k. Summing everything mod 3, it is congruent to 1 mod 3, but for all numbers to be the same, it must be at-least a multiple of 3, contradiction, so it is impossible.

Thank you,

Tina Jin