Prime Numbers 1 to 1000
A list of prime numbers from 1 to 1000 can be made once we know how to identify prime numbers. Prime numbers are those natural numbers that have only 2 factors, 1 and the number itself. In this article, we will discuss how to identify prime numbers along with the list of prime numbers from 1 to 1000.
| 1. | How to Find Prime Numbers from 1 to 1000? |
| 2. | List of Prime Numbers From 1 to 1000 |
| 3. | FAQs on Prime Numbers from 1 to 1000 |
How to Find Prime Numbers from 1 to 1000?
The prime numbers from 1 to 1000 can be listed if we find out the number of factors of each number. We know that a prime number is a number with only two factors, 1 and the number itself. For example, let us take the number 11 which has only two factors which are 1 and 11 itself. So, 11 is a prime number. Let us take another number 12. The factors of 12 can be listed as, 1, 2, 3, 4, 6, and 12. It can be seen that 12 is not a prime number because it has more than two factors. So it is a composite number. Therefore, by finding out the factors of a number we can find the prime numbers from 1 to 1000. Factors can be easily found with the help of the prime factorization method.
Properties of Prime Numbers
The following properties of prime numbers are helpful in identifying whether a number is prime or not.
- A prime number is a whole number that is always greater than 1.
- It has only two factors, that is, 1 and the number itself.
- Two prime numbers are always co-prime to each other.
List of Prime Numbers From 1 to 1000
Observe the list of prime numbers from 1 to 1000 given below.
- Prime Numbers 1 to 100: 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 (total 25 prime numbers)
- Prime Numbers 101-200: 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199 (total 21 prime numbers)
- Prime Numbers 201-300: 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293 (total 16 prime numbers)
- Prime Numbers 301-400: 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397 (total 16 prime numbers)
- Prime Numbers 401-500: 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499 (total 17 prime numbers)
- Prime Numbers 501-600: 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599 (total 14 prime numbers)
- Prime Numbers 601-700: 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691 (total 16 prime numbers)
- Prime Numbers 701-800: 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797 (total 14 prime numbers)
- Prime Numbers 801-900: 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887 (total 15 prime numbers)
- Prime Numbers 901-1000: 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997 (total 14 prime numbers)
Total prime numbers from 1 to 1000 = 168.
Let us cross-check any two prime numbers by finding out the possible factors of the number.
For example:
- Factors of 599 = 1, 599
- Factors of 929 = 1, 929
We can see that the above numbers have only two factors, 1 and the number itself. Since there are no other possible factors for these numbers, therefore, these are prime numbers. Observe the chart given below that shows prime numbers from 1 to 1000.
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FAQs on Prime Numbers From 1 to 1000
How to Identify Prime Numbers From 1 to 1000 in Math?
We can easily identify prime numbers from 1 to 1000 by finding the factors of a number. If a number has only two factors, 1 and the number itself, then it is a prime number. If there are more than two factors then it is a composite number and not a prime number.
Why is 2 the Only Even Prime Number From 1 to 1000?
2 is the only even prime number in prime numbers from 1 to 1000 because the only possible factors of 2 are 1 and the number 2 itself. The remaining even numbers are divisible by 2. So, 2 is the only even number which is a prime number.
What are the First Few Prime Numbers From 1 to 1000?
The first few prime numbers from 1 to 1000 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, and so on.
What are Twin Primes?
The prime numbers with a difference of 2 are twin primes. In other words, prime numbers with exactly one composite number in between them are twin primes. For example, 3 and 5 are twin primes because there is exactly 1 composite number between them.
What is the Difference Between Composite Numbers and Prime Numbers?
Numbers that have three or more factors are composite numbers and prime numbers are different from composite numbers because they have only two factors, 1 and the number itself. For example, 12, 18, and 20 are composite numbers, and 11, 17, and 19 are prime numbers.
Why is 1 not a Prime Number?
The number 1 is divisible only by the number 1. So, it has only 1 factor. Hence, it is not a prime number because prime numbers are the numbers that have two factors, 1 and the number itself.