| The point groups of the remaining 7 crystal classes can not be described by orthogonal integer matrices. |
| Generalizing the Pythagorean equation for triangles with integer sides to powers greater than 2 leads to Fermat's last theorem. |
| In the continued fraction of the square root of an integer the same denominators recur periodically. |
| When writing an integer in decimal we use, essentially, a units column, a tens column, a hundreds column, a thousands column, and so on. |
| The function produces the smallest integer that's greater than the given number. |
| A transcendental number is an irrational number that is not a root of any polynomial equation with integer coefficients. |
