Prime numbers are fascinating numbers in the world of mathematics. They have unique properties that make them important for various applications, including cryptography and computer science. A prime number is a natural number greater than 1 that has exactly two distinct natural number divisors: 1 and itself. In simpler words, a prime number cannot be evenly divided (without a remainder) by any other whole numbers except 1 and itself. Through this article we will know how many prime numbers From 1 to 100.
List of Prime Numbers 1 to 100
| Limit of Number | Prime Numbers |
| 1 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. |
| 1 to 10 | 2, 3, 5, 7. |
| 11 to 20 | 11, 13, 17, 19. |
| 21 to 30 | 23, 29. |
| 31 to 40 | 31, 37. |
| 41 to 50 | 41, 43, 47. |
| 51 to 60 | 53, 59. |
| 61 to 70 | 61, 67 |
| 71 to 80 | 71, 73, 79 |
| 81 to 100 | 83, 89, 97 |
Prime numbers used in the real world
Prime numbers are like superheroes of online security, guarding our information with their super strength. Imagine sending sensitive stuff like credit cards, medical records, or even WhatsApp messages across the internet. Yikes! But fear not, because software engineers use prime numbers, like special codes, to make them safe. think of two massive, secret numbers, so big they have hundreds of digits! By multiplying these giants together, we create an even bigger number, like a super-duper password. Only we know the original “ingredients” (those secret prime numbers) to unlock this password.
Now, if someone wants to snoop on our information, they’re in for a tough ride. Cracking our code means finding those secret primes, like trying every key on a giant keychain. With super-long primes, it could take years, even decades, of endless guessing. this magic trick is called “public-key cryptography,” and it keeps our online information safe and sound, thanks to the amazing power of prime numbers.
Key properties
- There are infinitely many prime numbers. This was proven by the ancient Greek mathematician Euclid.
- Every even number greater than 2 is composite (not prime), meaning it can be expressed as the product of two smaller numbers.
- The sum of the reciprocals of all prime numbers diverges (goes to infinity). This is a famous result known as the Basel problem.
FAQs About Prime Numbers
Ans: A prime number is a number that can only be divided by itself and 1 without remainders.
Ans: 1 is not a prime number because it has only one factor, namely 1. Prime numbers need to have exactly two factors.
Ans: 2 is a prime number because its only factors are 1 and itself.
Ans: smallest is the 2 and largest 97.
Ans: For finding prime numbers up to 100, use the Sieve of Eratosthenes. You can also ask yourself four questions: is the number even? Does it end in 5? Is it divisible by 3? Is it divisible by 7? If you can answer NO to each question, the number is prime. For numbers between 101 and 200, ask yourself whether the number is divisible by 2, 3, 5, 7, 11 and 13. If it is not, it’s prime.
Conclusion
I hope that by reading this article you have got a clear idea about the prime numbers from 1 to 100. If you like this article then please share it with your friends.
