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Higher Powers of Eleven (Posted on 2017-05-24) Difficulty: 3 of 5
Let N(x) be the number 122....221 where the digit 2 occurs x times.

Twice in the past we have determined the highest power of 11 that divides N(2001) is 11^3.

What is the smallest x for N(x) to be a multiple of 11^3? What about multiples of 11^4 and 11^5?

See The Solution Submitted by Brian Smith    
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  Subject Author Date
re: Analytic SolutionCharlie2017-05-26 15:45:40
SolutionAnalytic SolutionBrian Smith2017-05-26 11:36:24
Closed formbroll2017-05-26 00:06:45
Solutioncomputer solutionCharlie2017-05-24 11:32:24
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