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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. Koobits - Wikipedia

   en.wikipedia.org/wiki/Koobits

   KooBits was founded in 2016 by current CEO Stanley, with Professor Sam Ge Shuzhi and Dr Chen Xiangdong. [1] The trio saw an opportunity in the rapid growth of the ebook industry and decided to focus on creating software for interactive enhanced ebooks. Currently, KooBits is focused on education technology for primary mathematics learning.

4. Goldbach's conjecture - Wikipedia

   en.wikipedia.org/wiki/Goldbach's_conjecture

   See Waring's problem and the related Waring–Goldbach problem on sums of powers of primes. Hardy and Littlewood listed as their Conjecture I: "Every large odd number (n > 5) is the sum of a prime and the double of a prime". [31] This conjecture is known as Lemoine's conjecture and is also called Levy's conjecture.

5. Waring's problem - Wikipedia

   en.wikipedia.org/wiki/Waring's_problem

   In number theory, Waring's problem asks whether each natural number k has an associated positive integer s such that every natural number is the sum of at most s natural numbers raised to the power k. For example, every natural number is the sum of at most 4 squares, 9 cubes, or 19 fourth powers. Waring's problem was proposed in 1770 by Edward ...

6. Euler's sum of powers conjecture - Wikipedia

   en.wikipedia.org/wiki/Euler's_sum_of_powers...

   Euler's sum of powers conjecture. In number theory, Euler's conjecture is a disproved conjecture related to Fermat's Last Theorem. It was proposed by Leonhard Euler in 1769. It states that for all integers n and k greater than 1, if the sum of n many k th powers of positive integers is itself a k th power, then n is greater than or equal to k ...

7. Lagrange's four-square theorem - Wikipedia

   en.wikipedia.org/wiki/Lagrange's_four-square_theorem

   Lagrange's four-square theorem, also known as Bachet's conjecture, states that every nonnegative integer can be represented as a sum of four non-negative integer squares. [1] That is, the squares form an additive basis of order four. where the four numbers are integers. For illustration, 3, 31, and 310 can be represented as the sum of four ...