Prime Numbers from 1 to 1000

Prime numbers are the 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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  1. Awesome site!

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