Which numbers can be expressed as the sum of two cubes?

1729 is the smallest number which can be expressed as the sum of two cubes in two different ways: 1³ + 12³ and 9³ + 10³.

Can a number be represented as sum of 2 cubes?

For example, If n = 25000 , m can be any of 1729 , 4104 , 13832 , or 20683 as these numbers can be represented as the sum of two cubes for two different pairs.

What is the smallest positive number which can be written two times in the sum of cube of two numbers?

Why is 1729 the smallest number to be expressed as the sum of two cubes? – Quora.

Can the sum of two cubes be a cube?

It is known that one cannot write an integer cube as a sum of two integer cubes (Fermat’s Last Theorem). The number 1728 (= 123) comes close to being the sum of two cubes, but falls short by 1. An entry in Srinivasa Ramanujan’s Lost Notebook gives a remarkable identity which provides infinitely many such examples.

What is the smallest positive integer that can be expressed as the sum of 2021 distinct integers?

So, the smallest positive number that can be expressed as the sum of 2021 distinct integers is 1011.

How do you check whether a number can be represented as sum of cubes?

A number can be represented as the sum of the perfect cube of two consecutive numbers if the sum of the cube root of both consecutive numbers is equal to N.

What is the smallest number?

0
Question 5 The smallest whole number is “0” (ZERO).

Which expression is sum of cubes?

A polynomial in the form a 3 + b 3 is called a sum of cubes. A polynomial in the form a 3 – b 3 is called a difference of cubes.

Which is the smallest positive integer?

0 is the smallest positive integer.

What is a distinct square number?

The positive integers which are not the sum of 1 or more distinct squares are: 2,3,6,7,8,11,12,15,18,19,22,23,24,27,28,31,32,33,43,44,47,48,60,67,72,76,92,96,108,112,128. This sequence is A001422 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).