Carmichael's Totient Function Conjecture - Examples


The totient function φ(n) is equal to 2 when n is one of the three values 3, 4, and 6. Thus, if we take any one of these three values as n, then either of the other two values can be used as the m for which φ(m) = φ(n).

Similarly, the totient is equal to 4 when n is one of the four values 5, 8, 10, and 12, and it is equal to 6 when n is one of the four values 7, 9, 14, and 18. In each case, there is more than one value of n having the same value of φ(n).

The conjecture states that this phenomenon of repeated values holds for every n.

Read more about this topic:  Carmichael's Totient Function Conjecture

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