to the Royal Society. These conjectures are a partial extension of the Fermat polygonal number theorem to three-dimensional figurate numbers, also called...

(letter XLIII), in which he proposed the following conjecture: dass jede Zahl, welche aus zweyen numeris primis zusammengesetzt ist, ein aggregatum so...

( 2 n + 1 ) {\displaystyle 2^{n-1}(2^{n}+1)} formed as the product of a Fermat prime 2 n + 1 {\displaystyle 2^{n}+1} with a power of two in a similar way...

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...

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...

/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...

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...