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

 
 Dec 9, 2024

Best Answer 

 #1
avatar+35 
+1

You can use Guass Formula to find the sum from 1 through n .

(n+1)*n/2=141*140/2=141*70

Since we want to find the prime factors:

141=3*47

70=7*2*5

SO we need the greatest which is \(\left [ 47 \right ]\)

 Dec 10, 2024
 #1
avatar+35 
+1
Best Answer

You can use Guass Formula to find the sum from 1 through n .

(n+1)*n/2=141*140/2=141*70

Since we want to find the prime factors:

141=3*47

70=7*2*5

SO we need the greatest which is \(\left [ 47 \right ]\)

AHGSIGMA Dec 10, 2024

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