Sum of two cubes information

In mathematics, the sum of two cubes is a cubed number added to another cubed number. Every sum of cubes may be factored according to the identity a 3...

that cannot be expressed as a sum of three cubes? (more unsolved problems in mathematics) In the mathematics of sums of powers, it is an open problem...

difference of two squares to calculate multiplications. For example: 93 × 87 = 90² − 3² = 8091 64 × 56 = 60² − 4² = 3584 Sum of two cubes Binomial number...

number that is the sum of two cubes in two different ways. Attempting to classify all numbers this way leads to a paradox or an antinomy of definition. Any...

defined as the smallest integer that can be expressed as a sum of two positive integer cubes in n distinct ways. The most famous taxicab number is 1729...

sometimes another cube. The Fermat cubic, in which the sum of three cubes equals another cube, has a general solution. The power sum symmetric polynomial...

two hyper cubes which keeps the invariant that all PEs at corners of this new hyper cube store the total prefix sum of this newly unified hyper cube in...

In number theory, the sum of the first n cubes is the square of the nth triangular number. That is, 1 3 + 2 3 + 3 3 + ⋯ + n 3 = ( 1 + 2 + 3 + ⋯ + n )...

polynomial. Sparse polynomials oftentimes come up in sum or difference of powers equations. The sum of two cubes states that (a + b)(a2 − ab + b2) = a3 + b3....

: As the volume of a cube is the third power of its sides a × a × a {\displaystyle a\times a\times a} , third powers are called cubes, by analogy with...

the sum of two cubes in two different ways." Immediately before this anecdote, Hardy quoted Littlewood as saying, "Every positive integer was one of [Ramanujan's]...

Pandiagonal magic cubes are extensions of diagonal magic cubes (in which only the unbroken diagonals need to have the same sum as the rows of the cube) and generalize...

as the sum of n positive perfect squares)", The On-Line Encyclopedia of Integer Sequences, OEIS Foundation Sum of consecutive cubes equal a cube, archived...

classifications. The magic constant for magic cubes is S = m(m3 + 1)/2. A proper pantriagonal magic cube has 7m2 lines summing correctly. It contains no magic squares...

factorization algorithm: algebraic factors of binomial numbers (e.g. difference of two squares and sum of two cubes), which depend on the exponent, and aurifeuillean...

Heinz, All about Magic Cubes Marian Trenkler, Magic p-dimensional cubes Marian Trenkler, An algorithm for making magic cubes Marian Trenkler, On additive...

The GameCube is Nintendo's fourth home video game console, released during the sixth generation of video games. It is the successor to the Nintendo 64...

magic cube may be assigned to one of six magic cube classes, based on the cube characteristics. This new system is more precise in defining magic cubes. But...

\&=(a+b)^{2}-(x-y)^{2}\\&=(a+b+x-y)(a+b-x+y).\end{aligned}}} Sum/difference of two cubes E 3 + F 3 = ( E + F ) ( E 2 − E F + F 2 ) {\displaystyle...

(binomial) that was used to define the number, such as difference of two squares and sum of two cubes, there are other prime factors (called primitive prime factors...

to the cube's magic constant. Perfect magic cubes of order one are trivial; cubes of orders two to four can be proven not to exist, and cubes of orders...

expressed as the sum of two cubes (of positive numbers) in two different ways. Let C ( X ) {\displaystyle C(X)} denote the number of Carmichael numbers...

simplify the expression. For instance using the factorization of the sum of two cubes: 1 a 3 + b 3 = a 2 3 − a b 3 + b 2 3 ( a 3 + b 3 ) ( a 2 3 − a...