What is a Prime Number?
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A whole number greater than 1 that can not be made by multiplying other whole numbers. Every prime number other than 2 is an odd number, and is called an odd prime.
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Examples of a prime number
Here are some of the first few prime numbers (all the prime numbers less than 100) are: 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 (sequence A000040 in the OEIS).
Types of prime numbers
There are quite a lot of different prime number categories
- Additive Primes
- Balanced Primes
- Carol Primes
- Chen Primes
- Circular Primes
- Cousin Primes
- Double Mersenne Primes
- Factorial Primes
- Fermat Primes
- Fibonacci Primes
- Mersenne Primes
- Odd Primes
- Palindromic Primes
- Permutable Primes
- Sexy Primes
- Twin Primes
Prime numbers
How can you tell if a number is a prime or not?
- Find all the factors of the number
- If the number has only two factors, 1 and itself, then it is prime
- If the number has more than two factors, then it is not a prime
Recognizing Prime numbers
List of first 150 Prime Numbers
| Sequence | Prime Number |
|---|---|
| 1 | 2 |
| 2 | 3 |
| 3 | 5 |
| 4 | 7 |
| 5 | 11 |
| 6 | 13 |
| 7 | 17 |
| 8 | 19 |
| 9 | 23 |
| 10 | 29 |
| 11 | 31 |
| 12 | 37 |
| 13 | 41 |
| 14 | 43 |
| 15 | 47 |
| 16 | 53 |
| 17 | 59 |
| 18 | 61 |
| 19 | 67 |
| 20 | 71 |
| 21 | 73 |
| 22 | 79 |
| 23 | 83 |
| 24 | 89 |
| 25 | 97 |
| 26 | 101 |
| 27 | 103 |
| 28 | 107 |
| 29 | 109 |
| 30 | 113 |
| 31 | 127 |
| 32 | 131 |
| 33 | 137 |
| 34 | 139 |
| 35 | 149 |
| 36 | 151 |
| 37 | 157 |
| 38 | 163 |
| 39 | 167 |
| 40 | 173 |
| 41 | 179 |
| 42 | 181 |
| 43 | 191 |
| 44 | 193 |
| 45 | 197 |
| 46 | 199 |
| 47 | 211 |
| 48 | 223 |
| 49 | 227 |
| 50 | 229 |
| 51 | 233 |
| 52 | 239 |
| 53 | 241 |
| 54 | 251 |
| 55 | 257 |
| 56 | 263 |
| 57 | 269 |
| 58 | 271 |
| 59 | 277 |
| 60 | 281 |
| 61 | 283 |
| 62 | 293 |
| 63 | 307 |
| 64 | 311 |
| 65 | 313 |
| 66 | 317 |
| 67 | 331 |
| 68 | 337 |
| 69 | 347 |
| 70 | 349 |
| 71 | 353 |
| 72 | 359 |
| 73 | 367 |
| 74 | 373 |
| 75 | 379 |
| 76 | 383 |
| 77 | 389 |
| 78 | 397 |
| 79 | 401 |
| 80 | 409 |
| 81 | 419 |
| 82 | 421 |
| 83 | 431 |
| 84 | 433 |
| 85 | 439 |
| 86 | 443 |
| 87 | 449 |
| 88 | 457 |
| 89 | 461 |
| 90 | 463 |
| 91 | 467 |
| 92 | 479 |
| 93 | 487 |
| 94 | 491 |
| 95 | 499 |
| 96 | 503 |
| 97 | 509 |
| 98 | 521 |
| 99 | 523 |
| 100 | 541 |
| 101 | 547 |
| 102 | 557 |
| 103 | 563 |
| 104 | 569 |
| 105 | 571 |
| 106 | 577 |
| 107 | 587 |
| 108 | 593 |
| 109 | 599 |
| 110 | 601 |
| 111 | 607 |
| 112 | 613 |
| 113 | 617 |
| 114 | 619 |
| 115 | 631 |
| 116 | 641 |
| 117 | 643 |
| 118 | 647 |
| 119 | 653 |
| 120 | 659 |
| 121 | 661 |
| 122 | 673 |
| 123 | 677 |
| 124 | 683 |
| 125 | 691 |
| 126 | 701 |
| 127 | 709 |
| 128 | 719 |
| 129 | 727 |
| 130 | 733 |
| 131 | 739 |
| 132 | 743 |
| 133 | 751 |
| 134 | 757 |
| 135 | 761 |
| 136 | 769 |
| 137 | 773 |
| 138 | 787 |
| 139 | 797 |
| 140 | 809 |
| 141 | 811 |
| 142 | 821 |
| 143 | 823 |
| 144 | 827 |
| 145 | 829 |
| 146 | 839 |
| 147 | 853 |
| 148 | 857 |
| 149 | 859 |
| 150 | 863 |