to the Royal Society. These conjectures are a partial extension of the Fermat polygonal number theorem to three-dimensional figurate numbers, also called...
4 KB (405 words) - 20:01, 21 May 2024
(letter XLIII), in which he proposed the following conjecture: dass jede Zahl, welche aus zweyen numeris primis zusammengesetzt ist, ein aggregatum so...
27 KB (3,571 words) - 18:13, 26 August 2024
representation of 0 as a sum of three cubes would give a counterexample to Fermat's Last Theorem for the exponent three, as one of the three cubes would have...
34 KB (3,715 words) - 20:47, 20 July 2024
einer notwendigen Bedingung für die Existenz einer ungeraden vollkommenen Zahl". S.-B. Bayer. Akad. Wiss. 1937: 69–72. Nankar, M.L.: "History of perfect...
37 KB (5,024 words) - 08:05, 31 August 2024
/p\mathbb {Z} )^{\times }} and the three sets are its cosets. A theorem of Fermat states that every prime p ≡ 1 (mod 3) can be written as p = a2 + 3b2 and...
26 KB (4,061 words) - 14:25, 26 March 2024
approximable number implies that points spaced at this angle along the Fermat spiral (as they are in some models of plant growth) form a Delone set; intuitively...
25 KB (3,000 words) - 03:54, 15 March 2024
theorem was conjectured in Bachet's 1621 edition of Diophantus's Arithmetica; Fermat claimed to have a proof, but did not publish it. Over the years various...
22 KB (2,921 words) - 22:59, 20 July 2024