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This page generates random fractions by generating a random numerator
and denominator independently. In order to generate interesting numbers,
numbers with many prime factors are generated as follows:
For each number in the above list "Base of random numbers",
a coin is tossed and those numbers with head are selected. The random number is then
the product of the selected numbers.
In order to obtain sufficiently many different numbers the above list
should contain at least six numbers.
For an easy game, the numbers
2, 2, 2, 3, 3, 5, 5
are a possible choice.
For a harder game choose 2, 2, 2, 2, 3, 3, 5, 5, 7.
Bernd Krüger, 2016