Find the smallest positive integer B so that when we express the decimal number 301 as a base B number, we still get a 2-digit number.
Find the smallest positive integer B so that when we express the decimal number 301 as a base B number, we still get a 2-digit number.
Well, in base 10 it's a three digit number, so the base has to be bigger than ten.
Per https://www.rapidtables.com/convert/number/base-converter.html it's base 18 ... 30110 = GD19
For information, the next one down was 17 ... 31010 = 10C17
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