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whether the sums of non-negative cubes form a set with non-zero natural density. A nontrivial representation of 0 as a sum of three cubes would give a...

not the sum of two rational cubes. In real numbers, the cube function preserves the order: larger numbers have larger cubes. In other words, cubes (strictly)...

applies for sums of distinct cubes (largest one is 12,758), distinct fourth powers (largest is 5,134,240), etc. See for a generalization to sums of polynomials...

University of Bristol and Andrew Sutherland at Massachusetts Institute of Technology (MIT) used Charity Engine to solve the sums of three cubes problem for...

related to sums of three cubes in which Andrew Booker is the featured guest: 42 is the new 33 The Mystery of 42 is Solved 3 as a sum of 3 cubes As of January...

sum of four perfect cubes? (more unsolved problems in mathematics) The sum of four cubes problem asks whether every integer is the sum of four cubes of...

three not necessarily positive cubes Sums of four cubes problem, discusses whether every integer is the sum of four cubes of integers Hilbert, David (1909)...

L-functions and Modular Forms Database, the sums of three cubes project, and the computation and classification of Sato-Tate distributions. Sutherland earned...

ab-3b^{2})^{3}=(6a^{2}-4ab+4b^{2})^{3}} A cube as the sum of three cubes can also be parameterized in one of two ways: a 3 ( a 3 + b 3 ) 3 = b 3 ( a 3...

where the sum of the squares of three equals the square of the fourth Sums of three cubes – Problem in number theory Sums of powers – List of mathematical...

the second to last number less than 100 whose representation as a sum of three cubes was found (in 2019): 33 = 8866128975287528 3 + ( − 8778405442862239...

positive perfect power, since the square of 3 is one more than the cube of 2. 9 is the sum of the cubes of the first two non-zero positive integers 1...

integers can be written as the sum of three perfect cubes? Can every integer be written as a sum of four perfect cubes? Agoh–Giuga conjecture on the Bernoulli...

polyominoes in three-dimensional space. When four cubes are stacked vertically, and the other four are attached to the second-from-top cube of the stack,...

procedure where partial prefix sums are calculated in the first pass on each processing unit; the prefix sum of these partial sums is then calculated and broadcast...

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 )...

The last natural number less than 100 whose representation as a sum of three cubes was found (in 2019) is forty-two, where, 80 , 435 , 758 , 145 , 817...

three cubes: 216 = 6 3 = 3 3 + 4 3 + 5 3 . {\displaystyle 216=6^{3}=3^{3}+4^{3}+5^{3}.} It is the smallest cube that can be represented as a sum of three...

and its noise was incorporated into the film as that of the cubes moving. To change the look of each room, some scenes were shot with wide lens, and others...

cube here refers to a multi-dimensional dataset, which is also sometimes called a hypercube if the number of dimensions is greater than three. A cube...