Premium Only Content

The Oldest Unsolved Problem in Math
A perfect number is a positive integer that is equal to the sum of its proper divisors.
The oldest unsolved problem in mathematics is to determine if any odd perfect numbers exist.
The only even perfect numbers known to the ancient Greeks were 6, 28, 496, and 8,128.
Euclid discovered a pattern that generates even perfect numbers: (2^{p-1} \times (2^p - 1)), where (p) is a prime number.
Nicomachus published five conjectures about perfect numbers, including that all perfect numbers are even and end in 6 or 8 alternately.
Ibn Fallus published a list of 10 perfect numbers, but three of them were incorrect.
Marin Mersenne studied numbers of the form (2^p - 1) and identified several Mersenne primes, which correspond to perfect numbers.
Pierre de Fermat and Rene Descartes believed that if an odd perfect number exists, it must have a special form.
Descartes proposed the existence of perfect numbers but couldn't prove it.
Leonhard Euler made three breakthroughs in studying perfect numbers.
Euler proved that every even perfect number has Euclid's form, solving a 1600-year-old problem.
Euler conjectured that every odd perfect number must have a specific form but couldn't prove its existence.
Progress in finding new perfect numbers was slow until the advent of computers.
Raphael Robinson used a computer program to find five new Mersenne primes and corresponding perfect numbers in 1952.
The Great Internet Mersenne Prime Search (GIMPS) was launched in 1996 to distribute the search for Mersenne primes over many computers, leading to the discovery of 17 new Mersenne primes.
The largest known prime number is 2 to the power of 82,589,933 minus 1, discovered in 2018.
Mersenne primes are a special type of prime numbers that are almost always the largest known prime numbers.
The Lenstra and Pomerance Wagstaff conjecture predicts that there are infinitely many Mersenne primes and even perfect numbers.
https://www.getrecall.ai/summary/veritasium/the-oldest-unsolved-problem-in-math
-
4:58
JUST A HOMELESS MAN
7 months agoLefties losing it: Howard Stern’s ‘bile-filled rant’ about Donald Trump
2561 -
2:20:02
Tucker Carlson
2 hours agoDave Smith: Debating Douglas Murray, the “Woke Right” Narrative, and the Moment He Found God
47.2K23 -
1:37:16
Glenn Greenwald
4 hours agoEdan Alexander Release: Is the Trump/Netanyahu Split Becoming More Real? Are Republicans Moving Toward Populist Economics? With Matt Stoller | SYSTEM UPDATE #453
169K48 -
1:10:25
Sean Unpaved
2 hours agoPickens Joins the Boys', Fan Frenzy, & Carr's Final Snap
14K3 -
LIVE
VapinGamers
53 minutes agoPath of Exile 2 - Dawn of the Hunt- New Ranger! Let's Rock - !rumbot
49 watching -
17:07
Clownfish TV
3 hours agoDisney Betting on RIGHT-WINGERS Now?! Makes Deal with Newsmax!
17.8K6 -
LIVE
Joker Effect
29 minutes agoLooks like this land isn't big enough for the two of us... Only room for one max win, and its mine https://go.mother.land/Joker
343 watching -
LIVE
NeoX5
3 hours agoHollow Knight: Bravest of the Knights | Part 2 | Rumble Studio | Rumble Gaming
82 watching -
LIVE
megimu32
2 hours agoON THE SUBJECT: Guess What? We’re Going to Hollywood! The Ultimate Fame Reality Rewind
151 watching -
LIVE
Dr Disrespect
9 hours ago🔴LIVE - DR DISRESPECT - WARZONE - COMPETITIVE RANKED GAMES
1,190 watching