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Are you eager to delve into prime numbers in mathematics? Then explore the article below to understand what prime numbers are, their significance, characteristics, coprime numbers, and superprime numbers.
Here, Mytour shares with you the definition and properties of prime numbers. Join us for an insightful discussion.
What is the definition of prime numbers?
What defines a prime number?
- The numbers 0 and 1 are not considered prime numbers.
- The number 2 is the smallest prime number and the only even prime number.
- The smallest prime number with one digit is 2, and the smallest prime number with three digits is 101.
What are the largest prime numbers with two and three digits?
List of prime numbers from 2 to 100:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
Properties of prime numbers
What is the smallest prime number and the only even prime number?
The set of prime numbers is infinite.
The product of two prime numbers is never a perfect square.
The smallest natural divisor other than 1 of a natural number is a prime number.
What is the smallest positive divisor other than 1 of a composite number a?
Mutually Prime Numbers
Numbers are termed mutually prime if they have the greatest common divisor of 1.
Example:
2 and 3 are two prime numbers that are coprime.
5 and 13 are two prime numbers that are coprime.
Superprime Numbers
A superprime number is a prime number such that when removing any arbitrary number of digits from its right side, the remaining part still forms a prime number.
For example: the number 2333 is a superprime number with 4 digits because 233, 23, and 2 are all prime numbers.
Other examples of superprime numbers include: 2339, 2393, 7333, 7393, 37337, …
You can further explore a comprehensive table of prime numbers here Comprehensive Table of Prime Numbers
So, this article has shared with you what prime numbers are, their properties, and significance. Hopefully, it will provide you with more useful knowledge about prime numbers. Wishing you success!
