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Let b be an integer greater than 2, and let N_b = 1_b + 2_b + ... + 100_b (the sum contains all valid base b numbers up to 100_b). Compute the number of values b for which the sum of the squares of the base b digits of N_b is at most 512.

 Apr 22, 2020
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There are 34 possible values of b.

 May 17, 2020

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