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2. Sums of three cubes - Wikipedia

   en.wikipedia.org/wiki/Sums_of_three_cubes

   Semi-log plot of solutions of + + = for integer , , and , and .Green bands denote values of proven not to have a solution.. In the mathematics of sums of powers, it is an open problem to characterize the numbers that can be expressed as a sum of three cubes of integers, allowing both positive and negative cubes in the sum.

3. 30 Math Puzzles (with Answers) to Test Your Smarts - AOL

   www.aol.com/30-math-puzzles-answers-test...

   Math is not everyone’s favorite, understandably. Hours of math homework and difficult equations can make anyone sour on the subject. But when math problems are outside of a school setting, there ...

4. Sum of two cubes - Wikipedia

   en.wikipedia.org/wiki/Sum_of_two_cubes

   A Cabtaxi number is the smallest positive number that can be expressed as a sum of two integer cubes in n ways, allowing the cubes to be negative or zero as well as positive. The smallest cabtaxi number after Cabtaxi(1) = 0, is Cabtaxi(2) = 91, [ 5 ] expressed as:

5. 10 Hard Math Problems That Even the Smartest People in the ...

   www.aol.com/10-hard-math-problems-even-150000090...

   Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...

6. Sum of four cubes problem - Wikipedia

   en.wikipedia.org/wiki/Sum_of_four_cubes_problem

   The sum of four cubes problem [1] asks whether every integer is the sum of four cubes of integers. It is conjectured the answer is affirmative, but this conjecture has been neither proven nor disproven. [2] Some of the cubes may be negative numbers, in contrast to Waring's problem on sums of cubes, where they are required to be positive.

7. Cube (algebra) - Wikipedia

   en.wikipedia.org/wiki/Cube_(algebra)

   In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 2 3 = 8 or (x + 1) 3. The cube is also the number multiplied by its square: n 3 = n × n 2 = n × n × n.