All numbers greater than 1 that are divisible by 1 and that number are called prime numbers.

Natural numbers are positive integers. That is, 1, 2, 3, 4… all such positive integers are natural numbers.

Natural numbers are of 3 types:

• Prime numbers.
• Composite numbers and
• One.

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## Definition of Prime number

A number that has only two positive factor is called a prime number. For example: 3 have two positive factor 1 and 3 (i.e. 3 can only be divided or divisible by 1 and 3). So, 3 is a prime number.

Similarly, 19 is a prime number. Because the factors of 19 are 1 and 19. That means, 19 have two factors. So, 19 is a prime number.

The definition of prime number can be stated in another way: A prime number is a whole number greater than 1 whose only factors are 1 and itself.

For example: 5 is a prime number. Because 5 is divisible only by 1 and 5.

Why 1 is not a prime number:

A prime number has only two factors. For example: 1 and 7 are factors of 7. So, 7 is a prime number. But, the factor of 1 is only 1 that is 1 has one factor. So, 1 is not a prime number.

Smallest Prime Number:

The smallest prime number is 2. Also, 2 is an even number. There are no other even prime numbers except 2.

Largest Prime Number:

The largest prime number cannot be determined, it is infinite.

An interesting matter about prime number fact is that this is the largest prime number discovered 242589933 – 1. This number has a total of 24862,048 digits. What a large number!

## List of all prime numbers from 1 to 100:

There are 25 prime numbers from 1 to 100. You can remember a rule to calculate how many prime numbers have 1 to 100. The rule is remembered of a number or Eratosthenes method.

4422 322 321

In this number 4422 322 321:  we can easily say 4 in 1 to 10, 4 in 11 to 20, 2 in 21 to 30, 2 in 31 to 40, 3 in 41 to 50, 2 in 51 to 60, 2 in 61 to 70, 3 in 71 to 80, 2 in 81 to 90 and 1 in 91 to 100.

Total prime numbers from 1 to 100 are 25. Let’s follow below table:

## List of all prime numbers between 101 to 200:

There are 21 prime numbers between 1 to 100. You can remember a rule to calculate how many prime numbers between 101 to 200. The rule is remembered of a number.

4113 1222 14

In this number 4113 1222 14:  we can easily say 4 in 101 to 110, 1 in 111 to 120, 1 in 121 to 130, 3 in 131 to 140, 1 in 141 to 150, 2 in 151 to 160, 2 in 161 to 170, 2 in 171 to 180, 1 in 181 to 190 and 4 in 191 to 200.

Total prime numbers from 101 to 200 are 21. Let’s follow below table –

## List of all Prime Numbers from 201 to 1000

There are a total of 122 prime numbers between 201 to 1000. They are:

211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997.

### Which is the smallest prime number?

2 is the smallest prime number. Also, it is the only even prime number in mathematics.

### Is 1 a prime number?

According to the definition of prime number, 1 is not a prime number. Because a prime number is a natural number greater than 1.

### What are the prime numbers from 51 to 70?

The list of prime numbers from 51 to 70 is:
53, 59, 61, 67

### Is a prime number being integer number?

Yes. But it is only positive integer.