Wieferich prime

Hey there! So, there are some numbers called primes that can only be divided evenly by 1 and themselves. Some examples of primes are 2, 3, 5, 7, and 11.

Now, there are some special primes called Wieferich primes. A Wieferich prime is a prime number that when raised to the second power and then reduced modulo another prime number, gives the result of 1.

For example, the first two Wieferich primes are 1093 and 3511. When you square 1093 and then divide the result by 3511, you get a remainder of 1.

Wieferich primes are pretty rare, and only a handful have been discovered so far. Studying them can help us learn more about prime numbers and number theory in general.

I hope that helps! Let me know if you have any other questions.