If 
, 
(i.e., 
and 
are relatively prime),
and 
is the least integer 
, then there exist an 
and 
such that
 |
where 
and 
(Nagell 1951, pp. 122-124; Shanks 1993, p. 161)
Thue's Theorem
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References
Nagell, T. "Thue's Remainder Theorem and Its Generalization by Scholtz." §36 in Introduction to Number Theory. New York: Wiley, pp. 122-124, 1951.Shanks, D. Solved and Unsolved Problems in Number Theory, 4th ed. New York: Chelsea, p. 161, 1993.Referenced on Wolfram|Alpha
Thue's TheoremCite this as:
Weisstein, Eric W. "Thue's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ThuesTheorem.html