Prime Numbers:

Numbers which can be divided by 1 and itself only are called prime numbers.
Let’s take an example of 7 which can only be divided by 1 and 7 only. Thus 7 is a prime number.

Prime numbers are positive natural numbers always greater than 1.
No any number can divide any prime number without leaving any remainder.
Any number except 0 and 1 can only be either prime number or composite number.

Prime Numbers list:

Euclid around 300 BC said that there are infinitely many prime numbers. However, we have provided prime numbers list up to 1000. Take a look on it.

	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	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	307	311	313	317	331	337	347
349	353	359	367	373	379	383	389	397	401
409	419	421	431	433	439	443	449	457	461
463	467	479	487	491	499	503	509	521	523
541	547	557	563	569	571	577	587	593	599
601	607	613	617	619	631	641	643	647	653
659	661	673	677	683	691	701	709	719	727
733	739	743	751	757	761	769	773	787	797
809	811	821	823	827	829	839	853	857	859
863	877	881	883	887	907	911	919	929	937
941	947	953	967	971	977	983	991	997

By this prime numbers chart you can analyze its importance in arithmetic.

Prime Numbers From 1 to 100:

There is no common pattern to describe every prime number. The list of prime numbers from 1 to 100 is provided below:

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

Further explained as:

Even Prime Number:

2 is the one and only even prime number.
As we know from the definition that prime numbers should have factors one and itself only. So, when we notice even numbers we see that 2 is the only even number which has its factor 1 and itself. So, 2 is the only even prime number. Let’s confirm it by taking another example of even number 8. Factors of 8 are 1, 2, 4, 8. Thus at any cost, it can’t be prime number as there are more numbers which can divide 8.

How to find Prime numbers?

There is a simple procedure to find prime numbers. However, you have to follow some steps which are below:
Let’s suppose any number ‘K’ and we have to find whether it is prime or not.

Step 1:
Do its trial square root and take a whole number nearly its square root (√K = L).

Step 2:
Then we will test that if the number can be divisible by any of the prime number less than given number (L). If not divisible then it is a prime number otherwise it is not a prime number.

Example:
Let’s check whether 281 is prime or not. At first, we take its approx nearest square root which is 17.
The prime numbers less than 17 are 2, 3, 5, 7, 11, 13, 17.
281 is not divisible by any of the prime numbers so is a prime number.

Is 0 a prime number?

0 is not a prime number.
According to the definition of prime numbers that it should be the positive integer and always be greater than 1. 0 doesn’t follow the rule so it’s not a prime number.]

Is 1 a prime number?

1 is not a prime number.
According to the definition of prime number, it must have two factors 1 and that number itself but 1 has only one factor so 1 is not a prime number.

Is 2 a prime number?

2 is a prime number. Also, it is the only even prime number.
It correctly follows the definition of prime numbers as it has only two factors 1 and 2 itself so 2 is a prime number.

Prime number is a part of real number. Further it comes in natural number.