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avatar+162 

Find the greatest prime divisor of the value of the arithmetic series
1 + 2 + 3 + \dots + 135 + 136 + 137 + 138 + 139 + 140.

 
 Jan 5, 2025
 #1
avatar+130071 
+2

Sum =  (140) (141) / 2 =  = 70 * 141  

 

70  = 2 * 7  * 5

141 = 3 * 47

 

So

   70         *       141  = 

(2 * 7 * 5)  *   ( 3 * 47 )

 

47 is the greatest prime divisor

 

 

cool cool cool

 Jan 5, 2025

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