Prime numbers are natural numbers which have only two factors, i.e. 1 and the number itself. To find the prime numbers from 1 to 1000, we need to check if the number is a natural number and has no positive divisor other than 1 and itself. We do not consider 1 as a prime number, as it has only one factor but other prime numbers have two factors.
For example, 5 is a prime number, because it has only two factors, 1 and 5, such as;
5 = 1 x 5
But 4 is not a prime number, as it has more than two factors, 1, 2 and 4, such as:
1 x 4 = 4
2 x 2 = 4
Here, 4 is said to be a composite number. These factors can be determined with the help of the prime factorisation method.
List of Prime Numbers 1 to 1000
Now, let us see here the list of prime numbers starting from 1 to 1000. Since 1 is not a prime number, as it has only one factor, therefore, we will start the list from 2.
| Numbers | Number of prime numbers | List of prime numbers |
| 1 to 100 | 25 numbers | 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 |
| 101-200 | 21 numbers | 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199 |
| 201-300 | 16 numbers | 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293 |
| 301-400 | 16 numbers | 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397 |
| 401-500 | 17 numbers | 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499 |
| 501-600 | 14 numbers | 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599 |
| 601-700 | 16 numbers | 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691 |
| 701-800 | 14 numbers | 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797 |
| 801-900 | 15 numbers | 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887 |
| 901-1000 | 14 numbers | 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997 |
| Total number of prime numbers (1 to 1000) = 168 | ||
Hence, in the above given list, the numbers provided are all prime numbers. We can cross check with any of these numbers to know if they are prime or not, by factorising them.
For example:
- 709 = 1 x 709, only two factors
- 911 = 1 x 911, only two factors
- 401 = 1 x 401, only two factors
Therefore, this way we can find all the prime numbers.
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Why is 1 not a prime number?
A prime number has two factors, 1 and the number itself but 1 has only one factor, i.e. 1 itself. Thus, 1 is not a prime number.