172 (one hundred
ndseventy-two) is the
natural number
In mathematics, the natural numbers are the numbers 0, 1, 2, 3, and so on, possibly excluding 0. Some start counting with 0, defining the natural numbers as the non-negative integers , while others start with 1, defining them as the positive in ...
following
171 and preceding
173.
In mathematics
172 is a part of a near-miss for being a counterexample to
Fermat's last theorem
In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive number, positive integers , , and satisfy the equation for any integer value of greater than . The cases ...
, as 135
3 + 138
3 = 172
3 − 1. This is only the third near-miss of this form, two cubes adding to one less than a third cube. It is also a "thickened cube number", half an odd cube (7
3 = 343) rounded up to the next integer.
See also
*
172 (disambiguation)
References
Integers
{{Num-stub