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Number Theory Level pending

Find the number of digits in 172 9 1729 1729^{1729} .


The answer is 5599.

Akshat Joshi by Akshat Joshi , 20, India

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1 solution

Akshat Joshi
Dec 24, 2016

The number of digits for any number x x is given by, ⌊ log ⁡ 10 x + 1 ⌋ \lfloor \log_{10} x + 1 \rfloor . Therefore number of digits is ⌊ log ⁡ 10 172 9 1729 + 1 ⌋ = \lfloor \log_{10} 1729^{ 1729} + 1 \rfloor = 5599 5599 .

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It is not " l o g ( x ) + 1 log(x) + 1 ", but " ⌊ log ⁡ 10 x + 1 ⌋ \lfloor \log_{10} x + 1 \rfloor ".

Pi Han Goh - 4 years, 5 months ago

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I have made the change. Thanks for correcting.

Akshat Joshi - 4 years, 5 months ago

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