Fermat's sandwich theorem states that 26 is the only number sandwiched between a perfect square number (
and a perfect cubic number
(
).
According to Singh (1997), after challenging other mathematicians to establish this
result while not revealing his own proof, Fermat took particular delight in taunting
the English mathematicians Wallis and Digby with their inability to prove the result.
Fermat's Sandwich Theorem
See also
Catalan's Conjecture, Cubic Number, Fermat-Catalan Conjecture, Sandwich Theorem, Square NumberExplore with Wolfram|Alpha
References
Singh, S. Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem. New York: Walker, 1997.Cite this as:
Weisstein, Eric W. "Fermat's Sandwich Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FermatsSandwichTheorem.html