Venkatesh
13.5K posts


#1 Algorithms That Run the World
The algorithm that decides whether a number is prime.
It sounds small.
It’s not.
Prime numbers are the backbone of modern cryptography.
Every secure website, every online payment, every encrypted message…
depends on them.
For decades, one question haunted computer scientists:
> Can we check if a number is prime
> quickly, deterministically, and always correctly?
No randomness. No probability. No “probably prime.”
Just certainty.
Then in 2002, three researchers from IIT Kanpur changed everything:
Manindra Agrawal
Neeraj Kayal
Nitin Saxena
Their paper:
“PRIMES is in P”
They proved something groundbreaking:
👉 Prime checking can be done in polynomial time
👉 Deterministically
👉 With a simple, elegant algorithm
This became known as the AKS primality test.
No assumptions.
No shortcuts.
Just pure mathematics.
The impact?
• Strengthened the theoretical foundations of cryptography
• Proved a decades-old open problem wrong
• Showed that elegance can beat complexity
And the craziest part,
One of the authors was a 21-year-old undergraduate student.
The internet runs on ideas like this.
Quiet. Invisible. Foundational.
Most people will never hear about them.
But without them
nothing works.
Follow for more: Algorithms That Run the World ⚙️



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