10716

10716 is a number that appears in various contexts across mathematics, computing, and popular culture. It is most notably recognized as a pseudoprime to base 2, a type of composite number that satisfies a specific divisibility condition related to Fermat's Little Theorem. In this case, 10716 is the smallest even pseudoprime to base 2, meaning it is not a prime number but behaves like a prime in certain primality tests.

Mathematically, 10716 can be factored into primes as 2² × 2679. It is also a member of the sequence of even numbers that are not primes but satisfy the condition *a^(p-1) ≡ 1 mod p* for a given base *a* (in this case, *a* = 2). Such numbers are studied in number theory to understand the limitations of probabilistic primality tests.

In computing, 10716 occasionally appears in discussions about error codes, checksums, or memory addresses, though it lacks widespread significance in software engineering. Its inclusion in programming contexts is typically incidental rather than foundational.

The number has also made minor appearances in recreational mathematics and puzzles, where its properties—such as being a composite yet passing certain primality checks—can serve as an interesting example for teaching number theory concepts. Beyond mathematics, 10716 does not hold notable cultural or historical relevance, remaining largely obscure outside specialized fields.