what are twin primes?

A twin prime is a prime number that differs from another prime number by two. Except for the pair (2, 3), this is the smallest possible difference between two primes. Some examples of twin prime pairs are (3, 5), (5, 7), (11, 13), (17, 19), (29, 31) and (41, 43). Sometimes the term twin prime is used for a pair of twin primes; an alternative name for this is prime twin.

Source: Wikipedia

how about under 100

The twin pair primes between 1 and 100 are (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73).

Twin primes are a pair of prime numbers that differ by 2. In other words, twin primes are prime numbers that are adjacent to each other. For example, (3, 5), (11, 13), and (29, 31) are all examples of twin primes.

To understand what twin primes are, it's essential to know what prime numbers are. Prime numbers are positive integers greater than 1 that have no positive divisors other than 1 and themselves. For example, 2, 3, 5, 7, 11, and 13 are all prime numbers.

Now, to find twin primes, you can follow these steps:

1. Start with a prime number and check if its adjacent numbers are also primes.
2. If the next consecutive number is a prime, check if the difference between the two numbers is 2. If it is, then you have found a pair of twin primes.
3. If the difference is not 2, move on to the next prime number and repeat the process until you find a pair of twin primes or exhaust all prime numbers.

It is worth noting that mathematicians have not been able to prove or disprove whether there are infinitely many twin primes. However, twin primes have been discovered up to very large values, indicating that there are likely infinitely many.