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Find the largest prime number (in decimal form) that divides the sum

1_2 + 10_2 + 100_2 + 1000_2 + 10000_2.

 Nov 14, 2020
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This sum is 1 + 2 + 4 + 8 + 16 = 31.

 

31 is prime itself, so the answer is 31.

 Feb 20, 2021

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