Challenge accepted sir I built a program for that……….
@patrickhenry743 Says:
Anybody else wondering why they skipped over the number one? It fits all of the math and its an odd number. @Veritasium
@catinabox3934 Says:
solved the problem. The answer is.... "No"
@TheNameOfJesus Says:
You should do a video showing all the problems in history that were solved by some unqualified kid. I think there's a lesson in that.
@TheNameOfJesus Says:
@22:15 you can see six zeros in a row. What are the odds of that? Well out of 750 visible digits on the screen, that does seem anomalous. I imagine that the cameraman looked for an oddity and filmed it.
@larryjohnson3531 Says:
the perfect odd number is 1
@s4ke_10th Says:
That guy in the beginning said its simple and beautiful…
@pullt Says:
8:00 So if 130,816 isn't perfect, how on earth could it have ended up on his list? Is it really that difficult to factor?
Obviously he didn't have a calculator/computer, but Egypt DOES have the pyramids so you'd think doing it by hand, while time consuming would be doable for a guy with enough resources to create a math treatise would be able do do so
FYI....not a criticism, just curious how the error was or could be made
@Mamal0 Says:
show this video to a person who has number phobia
@tristansmeets6086 Says:
this seems like a problem that doesnt matter for anything
@WindPre Says:
1 🤓
@toadcoco6188 Says:
Ask A.I the question.
@johngambino8444 Says:
I got another perfect number!
130,816
To determine if 130,816 is a perfect number, we need to find its proper divisors and see if their sum equals the number itself.
A perfect number is a positive integer that is equal to the sum of its proper divisors, excluding the number itself. Here's a step-by-step approach to determine if 130,816 is a perfect number:
1. **Find the proper divisors of 130,816**:
- Proper divisors are all the divisors of a number, excluding the number itself. We find these divisors by determining which numbers divide evenly into 130,816.
2. **Calculate the divisors of 130,816**:
- We need to determine which numbers from 1 up to 65,408 (half of 130,816) divide evenly into 130,816.
- However, a simpler way to find divisors is by factorizing the number. Given that 130,816 can be expressed as \( 2^{10} \times (2^{11} - 1) \), we know that 2 is a prime factor.
- \( 2^{11} - 1 = 2047 \), which is also a prime number. Thus, 130,816 can be represented as \( 2^{10} \times 2047 \).
3. **Calculate the sum of proper divisors**:
- Using the prime factorization, we find all proper divisors of 130,816. The divisors are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2047, 4094, 8188, 16376, 32752, 65504.
- Calculate the sum of these divisors to check if they add up to 130,816.
Adding these proper divisors, the sum is:
\[
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 + 1024 + 2047 + 4094 + 8188 + 16376 + 32752 + 65504 = 130,816.
\]
Since the sum of the proper divisors equals 130,816, we can conclude that 130,816 is a perfect number. This confirms that the number follows the rule for even perfect numbers derived from Mersenne primes.
@IcedManx-pq5ke Says:
No because any even number multiplied by any positive integer will also be a even number
@socrunchyy1146 Says:
Did anyone else notice that in the number at 24:10 198,585,576,189, every set of three digits adds to 18?
@gm2407 Says:
@20:12 That's numberwang.
@aryanjangra4612 Says:
100
@PertaleV7 Says:
I don't know if I understood it right, but a prime number can only be divided by 2 numbers: 1 and itself, and if you add those together wouldn't they always be 1 larger than the number? If this is right, wouldn't this mean that an odd perfect number can't exist?
@KRISHANKRATNA4844 Says:
8128
@U.K.N Says:
Hopefully one day … I’ll understand what the hell is this video saying
@saigonmonopoly1105 Says:
371428/3
@stkk7186 Says:
8:29 hihi fallus
@ShawnPitman Says:
1
There. Solved.
@TreseanCastiglia Says:
I love this video
@MichaelCraig-ig2id Says:
such useless information and just wasted my time following a pointless trail of numbers
@docter_gaster Says:
Technically would the next perfect number be 11111111100000000 aka 130816 not a perfect number but a number at that maybe a perfect number havent checked
@SirEvilestDeath Says:
69
@MrAsificare Says:
Turkey Teeth.
@rogermouton2273 Says:
Euler saying it's a 'most difficult question' reminds me of Deep Thought saying 'Hmmmm...tricky'.
@lindseyj4179 Says:
I don’t think there can be an odd perfect number.
You’d have to have an even number of odd and even integers (excluding the number itself). In all the proved perfect numbers, there are an odd number of integers summed; ie 1, 2, and 3 for 6.
Any addition of two even numbers results in an even number ie. 2+2=4
Any addition of two odd number also results in an even number ie. 3+3=6
The only way to get an odd number by adding is to have the same number of odd and even integers; ie. 2+3=5
Every set of integers we’ve seen in this video has a pair; 1 and 6, 2 and 3. However, because 6 is not taken into account, this leaves us with an odd number of integers, which means we can’t have an equal number of even and odd. In the case of the perfect number 6, we have two odd integers (1, 3) and one even (2).
This will always be the case; an uneven number of odd and even integers to add together; except in the case of squares.
Take 4 for example; the integers are 1, 2, and 4. Leaving out the number itself, we have one odd and one even integer, which sum to an odd number, 3.
That would be the key to finding an odd perfect number, but odd squares are made with odd integers; 3x3=9, so the integers 1+3 are both odd and sum to an even number…5x5=25, 7x7=49, etc.
Not to mention the fact that having so few integers never brings the sum of the integers to the square itself.
@gimriol Says:
what about number 1?
@lemmerelassal2795 Says:
Mersenne prime x Fermat prime = 2^n -1
@meepk633 Says:
ligma function
@Gabriel-yd9zt Says:
The answer is on the fourth dimension.
@Gabriel-yd9zt Says:
Three is the only answer that I can come up with.
@YCH-666 Says:
At 11:05 how is that prime, it's an even number!
@SopwithTheCamel Says:
Well the answer is no.
@marcosteixeira7321 Says:
5:00
@dominicshaheen5563 Says:
The answer is simply: no
@darthsnarf Says:
You guys are so dumb I solved this years ago. 😂
@LaylaPlaysRobloxxxx Says:
Technically,this is mathematically impossible because 2 can’t go into an odd number. But also, 1 is a perfect number and the answer.
@Zeltaris Says:
Great video. It's interesting to me that every perfect numbers I saw besides "6" has a numerical number of 1. Also, I'm not sure if you can call this an unsolvable problem if the expected result never existed. You can't prove a negative as they teach you. It doesn't matter how hard you try, it won't happen. If there is reason to believe that a perfect odd number exist, then you would be correct.
@mikavaittinen2841 Says:
Just an intuition here. All the odd numbers include prime numbers in part of their divisors, number 1 and bigger. And the larger the number in question is, the larger the potential primer-number divisors will also be. So as an inevident conclusion, the possibility to equal the + and x-functions for the same devisors will finally disappear..Right?
@user-qn9wy2lk3q Says:
“The sigma function”
@danacannon-gl6rf Says:
681
@AIDINAXUI Says:
What kind of music is playing in this video in the period from 01:00 to 02:00 minutes?
@evilshadowshadow1249 Says:
Hmm interesting 🤔 i think i can figure out something from that!
@aidanmargarson8910 Says:
surely someone has tried assuming that an odd perfect number exists and then showing it leads to a contradiction?
@SCR788 Says:
Pretty sure the answer is 2
@BMGT Says:
When he first said sigma I was like “no way an incredibly smart person is calling math sigma” until I found out what it meant and it’s still funny😂😂
LATEST COMMENTS