Fermat's last theorem

Fer·mat's last theorem

F0081850 (fĕr-mäz′)n. The theorem that the equation aⁿ + bⁿ = cⁿ has no solutions in positive integers a, b, c if n is an integer greater than 2. It was stated as a marginal note by Pierre de Fermat around 1630 and not proved until 1994 by the British mathematician Andrew Wiles (born 1953).

Fermat's last theorem

(fɜːˈmæts) n (Mathematics) (in number theory) the hypothesis that the equation xⁿ + yⁿ = zⁿ has no integral solutions for n greater than two

Fer·mat's last theorem

(fĕr-mäz′) A theorem stating that the equation aⁿ + bⁿ = cⁿ has no solution if a, b, and c are positive integers and if n is an integer greater than 2. The theorem was first stated by the French mathematician Pierre de Fermat around 1630, but not proved until 1994.

Fermat's Last Theorem

Fermat's last theorem

[fer′mäz ¦last ′thir·əm] (mathematics) The proposition, proven in 1995, that there are no positive integer solutions of the equation x ⁿ+ y ⁿ= z ⁿfor n ≥ 3.

Fermat’s Last Theorem

(or Fermat’s great theorem), the assertion of P. Fermat that the Diophantine equation xⁿ + yⁿ = zⁿ, where n is an integer greater than 2, has no solution in positive integers. The theorem has been proved for a number of values of n, but no proof has been given for the general case.

Despite the simplicity of the formulation of Fermat’s last theorem, its complete proof apparently requires the development of new and profound methods in the theory of Diophantine equations. An unhealthy interest in the proof of the theorem among nonspecialists in mathematics was stimulated at one time by a large international prize, which was withdrawn at the end of World War I.

REFERENCES

Dickson, L. E. History of the Theory of Numbers, vols. 1–3. New York, 1934.
Landau, E. Aus der algebraischen Zahlentheorie und über die Fermatsche Vermutung. (Vorlesungen über Zahlentheorie, vol. 3.) Leipzig, 1927.

单词	fermat's last theorem
释义	Fermat's last theorem Fer·mat's last theorem F0081850 (fĕr-mäz′)n. The theorem that the equation aⁿ + bⁿ = cⁿ has no solutions in positive integers a, b, c if n is an integer greater than 2. It was stated as a marginal note by Pierre de Fermat around 1630 and not proved until 1994 by the British mathematician Andrew Wiles (born 1953). Fermat's last theorem (fɜːˈmæts) n (Mathematics) (in number theory) the hypothesis that the equation xⁿ + yⁿ = zⁿ has no integral solutions for n greater than two Fer·mat's last theorem (fĕr-mäz′) A theorem stating that the equation aⁿ + bⁿ = cⁿ has no solution if a, b, and c are positive integers and if n is an integer greater than 2. The theorem was first stated by the French mathematician Pierre de Fermat around 1630, but not proved until 1994. Fermat's Last Theorem Fermat's last theorem [fer′mäz ¦last ′thir·əm] (mathematics) The proposition, proven in 1995, that there are no positive integer solutions of the equation x ⁿ+ y ⁿ= z ⁿfor n ≥ 3. Fermat’s Last Theorem (or Fermat’s great theorem), the assertion of P. Fermat that the Diophantine equation xⁿ + yⁿ = zⁿ, where n is an integer greater than 2, has no solution in positive integers. The theorem has been proved for a number of values of n, but no proof has been given for the general case. Despite the simplicity of the formulation of Fermat’s last theorem, its complete proof apparently requires the development of new and profound methods in the theory of Diophantine equations. An unhealthy interest in the proof of the theorem among nonspecialists in mathematics was stimulated at one time by a large international prize, which was withdrawn at the end of World War I. REFERENCES Dickson, L. E. History of the Theory of Numbers, vols. 1–3. New York, 1934. Landau, E. Aus der algebraischen Zahlentheorie und über die Fermatsche Vermutung. (Vorlesungen über Zahlentheorie, vol. 3.) Leipzig, 1927. AcronymsSeeFLT
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