6571

6571 is a natural number that follows 6570 and precedes 6572. In mathematics, it is a prime number, meaning its only positive divisors are 1 and itself.

6571 is odd and not divisible by 2, 3, or 5. A straightforward primality check shows no divisors among the primes less than or equal to 79, and since the square root of 6571 is about 81, this confirms its primality.

From modular arithmetic, 6571 is congruent to 1 modulo 6 and to 3 modulo 4. As a prime with p ≡ 3 mod 4, it cannot be expressed as a sum of two squares.

As a numerical label, 6571 does not have a widely referenced mathematical constant or theorem specifically associated with it. It is primarily notable as an instance of a prime number in the 6500s and can serve as an example when illustrating primality testing techniques.