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2. 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.

3. Sum of two cubes - Wikipedia

   en.wikipedia.org/wiki/Sum_of_two_cubes

   In mathematics, the sum of two cubes is a cubed number added to another cubed number. ... The smallest taxicab number after Ta(1) = 1, is Ta(2) = 1729, [4] expressed as

4. 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.

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. Waring's problem - Wikipedia

   en.wikipedia.org/wiki/Waring's_problem

   G(3) is at least 4 (since cubes are congruent to 0, 1 or −1 mod 9); for numbers less than 1.3 × 10 9, 1 290 740 is the last to require 6 cubes, and the number of numbers between N and 2N requiring 5 cubes drops off with increasing N at sufficient speed to have people believe that G(3) = 4; [17] the largest number now known not to be a sum of ...

7. Two-cube calendar - Wikipedia

   en.wikipedia.org/wiki/Two-cube_calendar

   A two-cube calendar is a desk calendar consisting of two cubes with faces marked by digits 0 through 9.Each face of each cube is marked with a single digit, and it is possible to arrange the cubes so that any chosen day of the month (from 01, 02, ... through 31) is visible on the two front faces.