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searching for Proof by infinite descent 4 found (14 total)

alternate case: proof by infinite descent

Pierre de Fermat (2,384 words) [view diff] exact match in snippet view article find links to article

factorization method—Fermat's factorization method—and popularized the proof by infinite descent, which he used to prove Fermat's right triangle theorem which

Mathematical induction (6,914 words) [view diff] exact match in snippet view article find links to article

Frenchman, Fermat, made ample use of a related principle: indirect proof by infinite descent. The induction hypothesis was also employed by the Swiss Jakob

Fermat's Last Theorem (11,739 words) [view diff] exact match in snippet view article find links to article

incorrect. In 1770, Leonhard Euler gave a proof of p = 3, but his proof by infinite descent contained a major gap. However, since Euler himself had proved

Proof of Fermat's Last Theorem for specific exponents (5,155 words) [view diff] exact match in snippet view article find links to article

Hancock, Vrǎnceanu, Grant and Perella, Barbara, and Dolan. For one proof by infinite descent, see Infinite descent#Non-solvability of r2 + s4 = t4. Fermat's