The Farey sequence Fn is the list written in increasing order of all the rational numbers between 0 and 1 that have only the numbers 1,2,3,...n as denominators.
Conjecture: All Farey sequences contain an odd number of fractions (except for F1)
Max argued that this is true because Farey Sequences are symmetrical and there's always one half in the middle. Therefore, no matter how many fractions you add on both sides, the total number of fractions will always be odd.
Conjecture: All Farey sequences contain a prime number of fractions.
Reuben found that F10 is the first Farey sequence that does not contain a prime number of fractions. F10 contains 33 fractions.
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