111In geometry, the Euler line, named after Leonhard Euler, is a line determined from any triangle that is
not equilateral. It is a central line of the triangle, and it passes through several important points
determined from the triangle, including the orthocenter, the circumcenter, the centroid, the Exeter point
and the center of the nine-point circle of the triangle.

222In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts)
states that no three positive integers a, b, and c satisfy the equation an + bn = cn for any integer value
of n greater than 2. The cases n = 1 and n = 2 have been known to have infinitely many solutions since
antiquity.

333In geometry, the Euler line, named after Leonhard Euler, is a line determined from any triangle that is
not equilateral. It is a central line of the triangle, and it passes through several important points
determined from the triangle, including the orthocenter, the circumcenter, the centroid, the Exeter point
and the center of the nine-point circle of the triangle.

444In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts)
states that no three positive integers a, b, and c satisfy the equation an + bn = cn for any integer value
of n greater than 2. The cases n = 1 and n = 2 have been known to have infinitely many solutions since
antiquity.