Melody in Patterns

Here’s an age-old question: consider a sequence of prime numbers 2,3,5,7,11,13,17,... Now given a prime number P, how would one predict the next prime number in the sequence?

This question is quite critical to deal with. But just because this question is a little bit critical, it does not stop us from exploring the various things about the distribution of primes. Prime numbers are one of the simplest yet most complicated and confusing topics in mathematics.

Let’s start from the basics in middle school we learned that any number could be factored into prime numbers...

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