Residue (Number Theory)/Examples/Arbitrary Example 1

Example of Residue in context of Number Theory

Consider the congruence:

$x^3 \equiv 1 \pmod 9$

This has a solution:

$x = 4$

so $1$ is a residue of $9$ of order $3$.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): residue: 2.
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): residue: 2.