**Prime Numbers:**

Numbers which can be divided by 1 and itself **only** are called prime numbers.

Let’s take an example of 7 which can only be divided by 1 and 7 only. Thus 7 is a prime number.

- Prime numbers are positive natural numbers always greater than 1.
- No any number can divide any prime number without leaving any remainder.
- Any number except 0 and 1 can only be either prime number or composite number.

**Prime Numbers list:**

Euclid around 300 BC said that there are infinitely many prime numbers. However, we have provided prime numbers list up to 1000. Take a look on it.

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 | 101 | 103 | 107 | 109 |

113 | 127 | 131 | 137 | 139 | 149 | 151 | 157 | 163 | 167 |

173 | 179 | 181 | 191 | 193 | 197 | 199 | 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 |

By this prime numbers chart you can analyze its importance in arithmetic.

**Prime Numbers From 1 to 100:**

There is no common pattern to describe every prime number. The list of prime numbers from 1 to 100 is provided below:

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 |

Further explained as:

**Even Prime Number:**

**2 is the one and only even prime number.
**As we know from the definition that prime numbers should have factors one and itself only. So, when we notice even numbers we see that 2 is the only even number which has its factor 1 and itself. So, 2 is the only even prime number. Let’s confirm it by taking another example of even number 8. Factors of 8 are 1, 2, 4, 8. Thus at any cost, it can’t be prime number as there are more numbers which can divide 8.

**How to find Prime numbers?**

There is a simple procedure to find prime numbers. However, you have to follow some steps which are below:

Let’s suppose any number ‘K’ and we have to find whether it is prime or not.

**Step 1:
**Do its trial square root and take a whole number nearly its square root (√K = L).

**Step 2:
**Then we will test that if the number can be divisible by any of the prime number less than given number (L). If not divisible then it is a prime number otherwise it is not a prime number.

**Example:
**Let’s check whether 281 is prime or not. At first, we take its approx nearest square root which is 17.

The prime numbers less than 17 are 2, 3, 5, 7, 11, 13, 17.

281 is not divisible by any of the prime numbers so is a prime number.

**Is 0 a prime number?**

**0 is not a prime number.
**According to the definition of prime numbers that it should be the positive integer and always be greater than 1. 0 doesn’t follow the rule so it’s not a prime number.]

**Is 1 a prime number?**

**1 is not a prime number.
**According to the definition of prime number, it must have two factors 1 and that number itself but 1 has only one factor so 1 is not a prime number.

**Is 2 a prime number?**

**2 is a prime number. Also, it is the only even prime number.
**It correctly follows the definition of prime numbers as it has only two factors 1 and 2 itself so 2 is a prime number.

Prime number is a part of real number. Further it comes in natural number.

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