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Find the greatest prime divisor of the sum of the arithmetic sequence

1+2+3+.......+80+81+82+83

 Jan 27, 2021

Best Answer 

 #1
avatar+165 
+2

That sum is equal to \(\frac{83(84)}{2}=83(42)\). Since 83 is prime, and it is greater than 42, it must be the biggest prime divisor. Therefore, 83 is the answer.

 Jan 27, 2021
 #1
avatar+165 
+2
Best Answer

That sum is equal to \(\frac{83(84)}{2}=83(42)\). Since 83 is prime, and it is greater than 42, it must be the biggest prime divisor. Therefore, 83 is the answer.

textot Jan 27, 2021
 #2
avatar+116126 
+1

Very astute, textot   !!!!

 

 

cool cool cool

CPhill  Jan 27, 2021

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