What's The Lowest Prime Number

Prime numbers from 1 to m will include the list of primes, that accept simply two factors, i.e. 1 and the number itself. To find the prime number numbers from 1 to 1000, nosotros need to check if the number is a natural number and has no positive divisor other than one and itself. Nosotros exercise non consider 1 equally a prime number number, as it has only one factor only other prime number numbers have two factors.

For case, 5 is a prime number, considering it has merely 2 factors, one and 5, such as;

5 = 1 x v

But 4 is non a prime number, as information technology has more than ii factors, 1, 2, and 4, such as,

1 x 4 = 4
2 x 2 = iv

Here, four is said to be a composite number. These factors can be determined with the help of the prime factorisation method.

List of Prime Numbers ane to yard

Now, let us see here the list of prime numbers starting from i to 1000. Nosotros should call back that i is not a prime number, every bit it has but one gene. Thus, the prime numbers first from 2.

Numbers	Number of prime number numbers	List of prime numbers
1 to 100	25 prime number numbers	two, 3, v, 7, eleven, 13, 17, xix, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
101-200	21 prime 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 prime numbers	211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293
301-400	16 prime numbers	307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397
401-500	17 prime numbers	401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499
501-600	14 prime numbers	503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599
601-700	16 prime numbers	601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691
701-800	xiv prime numbers	701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797
801-900	15 prime numbers	809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887
901-grand	fourteen prime numbers	907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997
Total number of prime numbers (1 to 1000) = 168

From the above list of prime number numbers, we can find that each of the primes has only two factors.

Prime Numbers ane to 1000 – Download PDF

How to Detect Prime Numbers From 1 to m?

Past the definition of prime numbers, we know that the prime number will have only two factors. In the above-given listing, 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 prime number factorising them.

For instance:

709 = 1 x 709, but two factors
911 = 1 x 911, only two factors
401 = 1 x 401, only two factors

Simply if we check with any other, allow us say, 15, so the factors of 15 are:

1 ten xv = xv
three x 5 = fifteen

Thus, there is a total of 4 factors: i, 3, 5, and 15. So, fifteen is not a prime number.

Therefore, this way nosotros can find all the prime number numbers. Let us see some of the backdrop of prime numbers, to go far easier to find them.

Backdrop of Prime Numbers

A prime number will have only two factors, 1 and the number itself
2 is the just even prime number
All the even numbers greater than ii, are the product of two or more prime numbers

Video Lesson on Prime Numbers

Prime Numbers Up to 100
Prime Factorization
Prime number Factors
Co-Prime Numbers
How to Find Prime Numbers?

Solved Examples

Q.1: From the list of prime numbers i to chiliad given above, find if 825 is a prime number or not?

Solution: The list of prime number numbers from 1 to 1000 does not include 825 as a prime number. It is a composite number since it has more than than two factors. We can confirm this by prime factorisation of 825 besides.

Prime Factorization of 825 = three^ane × 5² × 11^ane

Hence, 825 includes more than than two factors.

Q.2: Detect if 911 is a prime number number or not?

Solution: Since, 911 has only two factors, i and 911. Therefore, 911 is a prime.

911 = 1 x 911

Q.three: What are the factors of 443?

Solution: Since 443 is a prime number, therefore, it has simply two factors ane and 443.

Q.4: What are the prime numbers from ane to 300? How many are they?

Solution: The prime numbers from 1 to 300 are:

2, 3, five, 7, eleven, 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.

Therefore, there is a total of 62 prime numbers betwixt 1 to 300.

Do Questions

Which of the post-obit statements are true or false?
- 1 is a prime number – ______
- two is the only even prime – ______
- 1000 is not a prime number – ______
- A prime has more than two factors – ______
Notice if 221 is a prime number or not.

Often Asked Questions on Prime Numbers 1 to 1000

How many prime number numbers are there in between 1 to k?

There are a total of 168 prime numbers in between 1 to yard.

What are the prime numbers from one to 200?

The prime numbers from 1 to 200 are:
ii, 3, five, vii, 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.

How to discover if a number is prime?

First, find the factors of the given number. If the number of factors is more than than 2, then the number is not a prime number number otherwise it is a prime.

Why 11 is a prime?

11 has only 2 factors, 1 and 11, therefore information technology is a prime.