Well just a profound realization that I had recently, its about how important prime numbers are for Mathematics….
For a moment, it occurred to me that all the natural numbers except one and primes can be represented as prime numbers…. Am sure every one knows this…. its called prime factorization….
Just imagine if there were no prime numbers… there will be no numbers other than unity (1)!!!
Surprising isn’t it? Yes but that is true…. It’s really hard to have anything if not for prime numbers and the operation of scaling them. Yes, call it scaling… multiplying one with another to get a composite number.
The analogy that I can draw from this understanding is… We can consider prime numbers to be “Bricks” that occur naturally in nature, we just pile up these naturally occurring bricks to form what we want… These Primes are for sure the pillars on which the whole natural numbers stand and hence our understanding.
These primes have not definite pattern of repetitions, they are scattered across the whole space… occasionally you stumble by them and start using them from then on… They are the pillars that hold the numbers… All the composite numbers are constituents built by just scaling them!!!
Beauty isn’t it…
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