Can You Solve This WITHOUT a Calculator? 2^127 - 1 Prime Test!
Автор: Logic Unlocked
Загружено: 2025-09-18
Просмотров: 7334
Описание:
Could a number with 39 digits really be prime? 🤔
In this video, we explore one of the most mind-blowing discoveries in mathematics:
The primality of 2^127 − 1 — a Mersenne prime.
You’ll learn:
What Mersenne numbers are 🔢
Why not all 2^p − 1 are prime ⚡
How the Lucas–Lehmer test works ✨
Step-by-step calculations that PROVE 2^127 − 1 is prime 🧮
The story of Édouard Lucas, who proved this in 1876 — without computers! 📜
⏰ Timestamps:
00:00 - The 39-Digit Riddle
00:26 - What Are Mersenne Numbers?
01:48 - The Elegant Test for Giant Primes
02:44 - Proof of Concept: Is 31 Prime?
03:56 - The Historic Calculation (M₁₂₇)
05:19 - The Big Takeaway: A Monument to Human Potential
This isn’t just math — it’s history, logic, and human persistence.
Watch to the end for the full proof and the incredible payoff!
#Math #PrimeNumbers #MersennePrimes
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