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Activity Discussion Math What’s so weird about prime numbers?

• # What’s so weird about prime numbers?

Posted by on May 15, 2021 at 6:25 pm

What’s so weird about prime numbers?

• ### Kunal Dargan

Member
June 23, 2023 at 11:23 am
0

Prime numbers are fascinating and unique in several ways, which can be considered “weird” or unconventional compared to other numbers. Here are a few notable characteristics of prime numbers:

1. Divisibility: Prime numbers are only divisible by 1 and themselves. Unlike composite numbers, which have multiple factors, prime numbers have exactly two factors.

2. Distribution: Prime numbers do not follow any predictable pattern in terms of their distribution. As numbers get larger, the gaps between prime numbers become more erratic.

3. Fundamental Role: Prime numbers have a fundamental role in number theory and cryptography. They form the building blocks for all other positive integers, as every composite number can be expressed as a unique product of prime factors. This property is utilized in cryptography algorithms, such as RSA.

4. Patterns: Prime numbers exhibit some intriguing patterns, such as the famous twin primes (pairs of primes that differ by 2, like 3 and 5, or 11 and 13) this is not consistent as prime numbers grows.