57373

57373 is a prime number. It is the 5937th prime number. In decimal representation, it is a palindromic number, meaning it reads the same forwards and backward.

The number 57373 can be found in various mathematical contexts. It is a number that can be expressed as the sum of two squares. Specifically, 57373 = 165^2 + 164^2. This property is related to Fermat's theorem on sums of two squares, which states that an odd prime p can be expressed as a sum of two squares if and only if p is congruent to 1 modulo 4. 57373 modulo 4 is 1, confirming this property.

In number theory, 57373 also possesses other interesting characteristics. It is a semiprime number, meaning it is the product of exactly two prime numbers. These prime factors are 139 and 413, making 57373 = 139 * 413. However, upon further inspection, 413 is not a prime number; it is 7 * 59. Therefore, 57373 is not a semiprime.

The sequence of prime numbers is a fundamental concept in mathematics, and each prime number, including 57373, holds a unique position within this sequence. Its properties as a palindrome and its divisibility characteristics are subjects of study in recreational mathematics and number theory research.

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