Scholz Conjecture
Let the minimal length of an Addition Chain for a number 
be denoted 
. Then the Scholz conjecturestates that
The conjecture has been proven for a variety of special cases but not in general.See also Addition Chain
References
Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 111, 1994.
- Finite Group Z5
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