Prime Numbers 1 to 100 List – Numbers are found everywhere in Mathematics also in day to day life. There’re different types of numbers in Mathematics. Prime numbers are one of the significant ones. Let us talk about the definition of the prime number & the prime numbers up to 100 in this post.
Prime Numbers 1 to 100 List
Prime numbers are natural numbers that are divisible by only 1 & the number itself. Some of the prime numbers comprise 2, 3, 5, 7, 11, 13, etc. Additionally, we can say that anticipate for 1, the remaining numbers are classified as prime & composite numbers. All prime numbers are odd numbers except 2, 2 is the smallest prime number & is the only even prime number.
In this post, you’ll learn the meaning & definition of prime numbers, their history, properties, list of prime numbers from 1 to 1000, chart, differences between prime numbers & composite numbers, how to find the prime numbers utilizing formulas, together with video lesson & examples.
Prime Numbers 1 to 100 List Overview
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Properties of Prime Number
There’re many properties that prime numbers possess. These properties are mentioning beneath:
- Prime numbers are positive numbers greater than 1.
- For a number to be a prime number, it should be a non-zero whole number.
- Prime numbers are numbers that can’t be divided by any number except themselves & one.
- Prime numbers have only 2 factors.
- The 2 factors of prime numbers are one & the number itself.
Prime Numbers Definition
A prime number is a + integer that is divisible by only 1 & itself. i.e. there is no number other than 1 & itself that split a prime number.
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Prime Numbers Chart
Before calculators & computers, numerical tables were using for recording all of the primes or prime factorizations up to a specified limit & are normally printed.
List of Prime Numbers 1 to 100
There’re many primes in the number system. As we know, the prime numbers are the numbers that have only 2 factors which are 1 & the number itself.
| Prime Numbers between 1 and 100 | |
| Prime numbers between 1 & 10 | 2, 3, 5, 7 |
| Prime numbers between 10 and 20 | 11, 13, 17, 19 |
| Prime numbers between 20 and 30 | 23, 29 |
| Prime numbers between 30 & 40 | 31, 37 |
| Prime numbers between 40 and 50 | 41, 43, 47 |
| Prime numbers between 50 & 60 | 53, 59 |
| Prime numbers between 60 and 70 | 61, 67 |
| Prime numbers between 70 and 80 | 71, 73, 79 |
| Prime numbers between 80 and 90 | 83, 89 |
| Prime numbers between 90 & 100 | 97 |
All these numbers are divisible by only 1 & the number itself. So, these numbers are calling prime numbers. Additionally, these’re the 1st 25 prime numbers.
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Facts About Prime Numbers
The table beneath shows the significant points regarding prime numbers. These will assist you to solve many issue in mathematics.
| Smallest Prime Number | 2 |
| Largest Prime Number | As of November 2022, the largest popular prime number is 282,589,933 – 1, with 24,862,048 digits. It was founded by the Great Internet Mersenne Prime Search (GIMPS) in 2018. |
| Even Prime Number | Two is the only even prime number & the rest of the prime numbers are odd numbers, so called odd prime numbers. |
| Twin Prime numbers | The prime numbers with only one composite number between them are called twin prime numbers or twin primes. The other definition of twin prime numbers is the pair of prime numbers that vary by 2 only. For sample, 3 & 5 are twin primes because 5 – 3 = 2.The other examples of twin prime numbers are:
|
| Coprime numbers | 2 numbers are called coprime to every other if their highest common factor is 1. Prime numbers & coprime numbers aren’t the same. For example, 6 and 13 are coprime because the common factor is 1 only. |
How to Find Prime Numbers?
The following 2 way will assist you to find if the shared number is a prime or not.
Method 1
We know that two is the only even prime number. And only 2 successive natural numbers which are prime are 2 & 3.
For sample:
6(1) – 1 = 5
6(1) + 1 = 7
6(2) – 1 = 11
6(2) + 1 = 13
6(3) – 1 = 17
6(3) + 1 = 19
6(4) – 1 = 23
6(4) + 1 = 25 (multiple of 5)
Method 2:
To know the prime numbers greater than 40, the beneath formula can be utilized.
n2 + n + 41, where n = 0, 1, 2, ….., 39
For sample:
(0)2 + 0 + 0 = 41
(1)2 + 1 + 41 = 43
(2)2 + 2 + 41 = 47
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Prime Numbers Things to be Remember
Some Prime Numbers between 1 to 100 key points are providing beneath.
- 1 & 0 aren’t prime numbers, these are categorized as special or unique numbers.
- Two is the only even prime number; the rest are odd.
- Divisible by one & the number itself is a prime number.
- A prime number greater than 5 and ends with 5 can be split by 5, so it can’t be a prime number.
Significance of Prime Numbers
Prime Numbers hold an important place in the evolution of mathematics, primarily for their pivotal role in make better cryptography & security standards in the modern world. Despite years of research, Prime Numbers continue to be an active topic in the field of mathematical research, engrossing scientists & scholars with their stylish properties & vast range of applications.
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Frequently Asked Questions
What are prime numbers?
Prime numbers are positive integers greater than 1 that has no positive integer divisors other than 1 and itself.
Is 1 a prime number?
1 is neither prime nor composite number.
What are the first 10 prime numbers?
First ten primes are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.