Leudesdorf Theorem
Let 
denote the set of the 
numbers less than and Relatively Prime to 
, where 
is theTotient Function. Then if
then
See also Bauer's Identical Congruence, Totient Function
References
Hardy, G. H. and Wright, E. M. ``A Theorem of Leudesdorf.'' §8.7 in An Introduction to the Theory of Numbers, 5th ed. Oxford, England: Clarendon Press, pp. 100-102, 1979.
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