What are Prime Numbers

Prime numbers are usually known for the fact that there are no other numbers than 1 and the given number itself which can divide the number. All those numbers which are divisible by many other numbers or let’s just say more than two numbers are considered as composite numbers which are the opposite of prime numbers. Prime numbers do not have set patterns as such. The number given below denotes the prime numbers in a sequential manner as these are not divisible by any other number apart from 1 and the number itself.

2         3         5        7        11       13       17      19       23       29
31       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

One can see that all the numbers given above have only one thing in common. That is they are all divisible by just 2 numbers. Such numbers are commonly referred to as Prime Numbers and another thing to be observed above is that the numbers do not follow a uniform pattern. There can be ‘n’ number of prime numbers and ‘n’ here goes into infinite number of values. Thus we can say that there are infinite prime numbers in the number system.

Nowadays thanks to modern computing we have prime numbers that go into thousands and thousands of digits. The larger the number the more will it have chances of being divisible by a number smaller than it and there are certain methods which have been considered and used to find prime numbers running into millions. However, there are many renowned mathematicians who are hell bent on getting to somewhere and short-listing a number which can be termed as the end of prime numbers. Hand operated calculating whether a large number is a prime number or not can be excruciating and might take hours and hours of time or even days, but due to advanced technology this is no more something which can only be dreamt of. Having factors is something which might be quite obvious in case of a number running into thousands and even millions of digits which is something beyond imagination and truly mysterious.

There are certain uses of prime numbers nowadays apart from them just being another head-scratching time-pass for mathematics maniacs and geeks. Prime numbers find their use in many modern-day applications such as cryptography where we multiply and determine the result of two certain prime numbers out of zillions of numbers and then we check whether the result of the product of those particular number has any certain factors or not. This process is really complicated and tough but still there are many scientists who are spending days and even months just to obtain results of cryptography. Prime numbers are also used as encrypting codes for online credit card transactions.

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