A periodic number depends on the base b where we are working. So, for example the number 2/3 in decimal base is periodic(0.666666666) but if we are working in base 3, the same number can be expressed as 2/10, and the result is not periodic (0.2). By this way, it is possible to enunciate:
By this way, you have to find when a number in any base can produce periodics numbers or not, and then find the values less or equal than 100 that in this base will never produce a periodic number.
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