# The Ultimate Guide to Prime Numbers 1 to 1000

## What are Prime Numbers?

A prime number is a whole number bigger than one with just one and itself as factors, which means that ​​a prime number cannot be divided by any other positive integers without a decimal or fraction remainder.

## History of Prime Numbers

The ancient Greek mathematicians conducted substantial research on prime numbers and their properties. Around 500 to 300 BC, mathematicians of Pythagoras’ school were fascinated by numbers because of their mystical and numerological characteristics. They were aware of the concept of primality and were drawn to harmonious and perfect numbers.

Significant progress in the study of prime numbers was made by the Greek mathematician Euclid around 300 B.C who established that prime numbers are infinite.

Another Greek mathematician, Eratosthenes, developed a sieving technique a century later that enables all the prime numbers in a small list to be found by simply crossing out multiples.

At the beginning of the 17th century, a mathematician named Marin Mersenne brought limelight to prime numbers by defining the prime numbers that bear his name.

## Prime Numbers 1 to 100 [ Infographic]

Total Number of Prime Numbers 1 to 100 = 25 ## Prime Numbers 101 to 200 [ Infographic]

Total Number of Prime Numbers 101 to 200 = 21 ## Prime Numbers 201 to 300 [ Infographic]

Total Number of Prime Numbers 201 to 300 = 16 ## Prime Numbers 301 to 400 [ Infographic]

Total Number of Prime Numbers 301 to 400 = 16 ## Prime Numbers 401 to 500 [ Infographic]

Total Number of Prime Numbers 401 to 500 = 17 ## Prime Numbers 501 to 600 [ Infographic]

Total Number of Prime Numbers 501 to 600 = 14 ## Prime Numbers 601 to 700 [ Infographic]

Total Number of Prime Numbers 601 to 700 = 16 ## Prime Numbers 701 to 800 [ Infographic]

Total Number of Prime Numbers 601 to 700 = 16 ## Prime Numbers 801 to 900 [ Infographic]

Total Number of Prime Numbers 701 to 800 = 14 ## Prime Numbers 901 to 1000 [ Infographic]

Total Number of Prime Numbers 901 to 1000 = 14 ## Prime Numbers Questions and Answers

First create a list of prime numbers 1 to 22.

The list is 2, 3, 5, 7, 11, 13, 17, 19.

Now we know that one number is a prime number and one is a square number.

So, the list of square numbers from 1 to 22 are 2, 4, 6, 8, 9, 10, 12, 14, 16, 18, 20 and 22.

Which number among the above numbers is a square number?

4 and 9.

Now check from the list of 2, 3, 5, 7, 11, 13, 17, 19 and 4 and 9 adds up to 22.

Solution: First create a list of all prime numbers 1 to 36.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31.

Keep adding two prime numbers from the list that will give you 36.

3 and 33 = 36

5 and 31 = 36

7 and 29 = 36

13 and 23 = 36

17 and 19 = 36

Solution:

 953 967 971 977 983 991 997

## 7 Fun Facts About Prime Numbers

1. The only even prime number is 2.

The fact that 2 can be divided only by 2 and 1 makes it a prime number.

2. Prime numbers do not include 0 and 1.

Despite what you might recall from your youth, 0 and 1 are not prime numbers. The only positive integer that can divide 0 and 1 is (themselves).

3. There is a Prime number Organization.

George Woltman established the Great Internet Mersenne Prime Number Search (GIMPS) in 1996.

4. Twin primes are prime numbers that are two spaces apart.

The first few twin prime pairings are (3, 5), (5, 7), (11, 13), (17, 19), etc.

5. The product of two prime numbers is called semiprimes.

Natural numbers that are the sum of two prime numbers are referred to as semiprimes. For example: Four is the first semiprime, because the two prime numbers (2 x 2) make up its prime factors.

6. 5 is the only number in its one’s position.

No other prime number, excluding 5, ends with 5 in its position.

7. Largest known prime number.

The largest known prime number has 24,862,048 digits and is 2^82,589,933 – 1

## Real Life Applications of Prime Numbers

### 1. Cyber Security

One of the most important applications for prime numbers is cyber security, which involves making data transferred over the internet more secure.

Algorithms are created by software engineers utilizing prime integers. When two very large prime numbers are multiplied together, an even greater number is produced. If anyone else wants to figure out what data we’re sending, they’ll need to figure out what our original factors were. This type of public-key cryptography assures the security of our data.

### 2. Music

Musicians have known and exploited an indirect application of prime numbers for centuries. Some artists found it appealing to think of the special qualities of prime numbers as a kind of emancipation from the conventions of traditional music.

### 3. Nature

There are some insects whose existence depends entirely on the utilization of prime numbers. The Cicada is an insect that leverages prime numbers to its advantage by spending a prime number of years underground before emerging as an adult at the end of that time. Every 13 or 17 years, for example, the cicada emerges above earth.

## Conclusion

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