In number theory, a Descartes number is an odd number which would have been an odd perfect number if one of its composite factors were prime. They are...

René Descartes (/deɪˈkɑːrt/ day-KART, also UK: /ˈdeɪkɑːrt/ DAY-kart; French: [ʁəne dekaʁt] ; 31 March 1596 – 11 February 1650): 58  was a French philosopher...

695\times 10^{694127911065419641}.} 61 is also the largest prime factor in Descartes number, 3 2 × 7 2 × 11 2 × 13 2 × 19 2 × 61 = 198585576189. {\displaystyle...

perfect number greater than 1 would have at least six prime factors. If m is an odd almost perfect number then m(2m − 1) is a Descartes number. Moreover...

Paris Search for "descartes"  or "des-cartes" on Wikipedia. Descartes number, a number that is "almost" a perfect number Descartes Prize, the European...

In mathematics, Descartes' rule of signs, described by René Descartes in his La Géométrie, counts the roots of a polynomial by examining sign changes...

number, and its square is −25. The number zero is considered to be both real and imaginary. Originally coined in the 17th century by René Descartes as...

philosophical treatise by René Descartes first published in Latin in 1641. The French translation (by the Duke of Luynes with Descartes' supervision) was published...

after Paul Erdős and Jean-Louis Nicolas, who wrote about them in 1975. Descartes number, another type of almost-perfect numbers De Koninck, Jean-Marie (2009)...

morphisms Descartes number Descartes' rule of signs Descartes snark Descartes' theorem Descartes' theorem on total angular defect Folium of Descartes Cartesian...

In geometry, Descartes' theorem states that for every four kissing, or mutually tangent circles, the radii of the circles satisfy a certain quadratic...

Descartes on Polyhedra: A Study of the "De solidorum elementis" is a book in the history of mathematics, concerning the work of René Descartes on polyhedra...

\mathbb {R} } ⁠. The adjective real, used in the 17th century by René Descartes, distinguishes real numbers from imaginary numbers such as the square...

359,290,368 = 58323 = 189 198,585,576,189 = only known Descartes number 199,911,300,472 = number of 44-bead binary necklaces with beads of 2 colors where...

numbers appears to have been by René Descartes, around 1630, in his De solidorum elementis. Prior to Descartes, figurate numbers had been studied by...

René Descartes observed that the number D = 32 ⋅ 72 ⋅ 112 ⋅ 132 ⋅ 22021 = (3⋅1001)2 ⋅ (22⋅1001 − 1) = 198585576189 would be an odd perfect number if only...

the number 1 differently than larger numbers, sometimes even not as a number at all. Euclid, for example, defined a unit first and then a number as a...

satisfies the above equation, i was called an imaginary number by René Descartes. For the complex number a + b i {\displaystyle a+bi} , a is called the real...

A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that...

A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Accordingly it is a positive integer that has...

favour of idealism provide the solipsist with a number of arguments not found in Descartes. While Descartes defends ontological dualism, thus accepting the...

universal science modelled on mathematics envisaged by Descartes and Leibniz, among a number of other 16th- and 17th-century philosophers and mathematicians...

completely certain theorem, although I cannot prove it. René Descartes wrote that "Every even number can be expressed as the sum of at most three primes." The...

mathematical. The term has been applied to a number of philosophers, including Pythagoras and René Descartes although the term was not used by themselves...

numbers appears to have been by René Descartes, around 1630, in his De solidorum elementis. Prior to Descartes, figurate numbers had been studied by...

mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form Mn = 2n − 1 for some integer...

The Descartes Systems Group Inc. (commonly referred to as Descartes) is a Canadian multinational technology company specializing in logistics software...

In number theory, a lucky number is a natural number in a set which is generated by a certain "sieve". This sieve is similar to the sieve of Eratosthenes...

Light (French title: Traité du monde et de la lumière), is a book by René Descartes (1596–1650). Written between 1629 and 1633, it contains a nearly complete...

time. When René Descartes coined the term "imaginary" for these quantities in 1637, he intended it as derogatory. (See imaginary number for a discussion...