4104 (four thousand one hundred
ndfour) is the
natural number
In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country").
Numbers used for counting are called ''Cardinal n ...
following 4103 and preceding 4105. It is the second positive
integer
An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign (−1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the language ...
which can be expressed as the sum of two positive cubes in two different ways. The first such number,
1729, is called the "
Ramanujan–Hardy number
1729 is the natural number following 1728 and preceding 1730. It is a taxicab number, and is variously known as Ramanujan's number and the Ramanujan-Hardy number, after an anecdote of the British mathematician G. H. Hardy when he visited Indian ma ...
".
4104 is the sum of 4096 + 8 (that is, 16
3 + 2
3), and also the sum of 3375 + 729 (that is, 15
3 + 9
3).
See also
*
Taxicab number
In mathematics, the ''n''th taxicab number, typically denoted Ta(''n'') or Taxicab(''n''), also called the ''n''th Hardy–Ramanujan number, is defined as the smallest integer that can be expressed as a sum of two ''positive'' integer cubes in ...
*
1729
External links
MathWorld: Hardy–Ramanujan Number
{{DEFAULTSORT:4104 (Number)
Integers