How Does Twin Primes Problem Work?

Even numbers can sometimes be best friends, and when they are, they help us find special pairs called twin primes.

Imagine you have a bag full of candies. Some candies come in pairs, like two red ones next to each other, or two blue ones. In math, prime numbers are like candies that can't be split evenly by anything except 1 and themselves. Now, twin primes are like those special candy pairs: they’re just 2 apart!

For example, take the number 3. If you add 2 to it, you get 5, both of them are prime numbers! So, 3 and 5 are twin primes.

Another example is 11 and 13, still only 2 apart, and both prime!

Now think about a staircase where each step has a number on it. If you find two steps with prime numbers, and they're just one step apart (like from 11 to 13), that’s like finding a hidden treasure in the staircase of numbers.

Mathematicians love looking for these twin primes because there might be an infinite amount of them, like never-ending candy pairs!

Take the quiz →

Examples

  1. Twin primes like (3, 5) and (11, 13) are pairs of prime numbers only one number apart.
  2. Just like best friends who always stick together, twin primes are closely related primes.
  3. You can find twin primes in a list of numbers if you look for two primes that differ by just 2.

Ask a question

See also

Discussion

Recent activity