131073

131073 is a number that holds significance in various fields of mathematics and computer science. It is a Mersenne prime, a type of prime number that can be written in the form 2^p - 1, where p is itself a prime number. In this case, 131073 is 2^17 - 1, making 17 a prime number. Mersenne primes are of particular interest in number theory due to their unique properties and the difficulty of finding new ones.

In computer science, 131073 is often used as a constant in algorithms and data structures. For instance, it is used as a modulus in hash functions to distribute data evenly across a hash table. Its large size relative to typical data sets makes it effective in reducing collisions, which can degrade the performance of hash tables.

The number 131073 is also notable for its appearance in various mathematical puzzles and problems. Its properties, such as being a Mersenne prime, make it a useful tool for exploring concepts in number theory and computer science.

In summary, 131073 is a Mersenne prime with applications in computer science and number theory. Its unique properties make it a valuable number in both theoretical and practical contexts.