Pascal Ochem is so funny. Man was just born to participate in STEM.
@ankushds7018 Says:
Something about a mathematician quoting Edison in a favourable way is mildly off putting
@jere.nurkka Says:
How does school manage to ruin so many interesting things? Math, language learning, science and PE?
@fyionhard395 Says:
23:54 bro looks disgusted 😭
@Adson-Gamipedia Says:
The 28 is a bit off. We talk about their devisors and you display on your paper 1+2+3+4+5+6+7... Shouldnt it be: 1+2+4+7+14? Such are 28's proper devisors which add up to 28.
@protokyuubi4269 Says:
Mathematicians be like "Mathematicians always stop just before their personal circlejerk and pissing away cash becomes useful in the real world"
@BLESSINGSMBEWE-md5lm Says:
Plz create more content of math history 😊
@user-ux8yj7lf8n Says:
Times is baby talk.
@Maryland-WatchWatch Says:
This problem will be solved in someone's dreams sleep!
@Dipatulesiolaco Says:
11:17 what a sigma
@GamerNinja134 Says:
is 1 a perfect number?
@maxwellsimon4538 Says:
1 is an odd perfect number and follows all the rules
@HappyDoctor. Says:
Where the hell am i, i just took break from my medical studies
@Anek_TheGreat Says:
sigma
@mrnobody2873 Says:
What happens to the rules of math and things like Primes, and Perfect Numbers if the base we use isn't Base 10? What if you use imaginary numbers?
@TashaUpchurch Says:
Hats off
@MegaBlobbs Says:
the answer is 100920 , problem solved
@TM-ym5wi Says:
I declare the answer to the question- Yes. Disprove it!
@jonathanjohnson3714 Says:
i cant do this any more. all things can and will equal 0 if you try hard enough. 26:53. everything is equal to what you put in. peace out
@jonathanjohnson3714 Says:
25:43 anything is possible as long as you make the number long enough and with a .1 at the end. add em all up you could find it, it just has to be huge.
@jonathanjohnson3714 Says:
20:56 if you are talking about pie, you can make any number crazy long how it stumps main math people is way beyond our time buddy
@alexanfung Says:
29:40 I think this is what Math attracts people.
Math is always about something not existing in the society that time
Math is thinking about future, or even eternity
maybe some hundreds of years later, we will find a place that suit these math
and at that time our great mathematicians already do the work for humanity.
@jonathanjohnson3714 Says:
only if you are constantly trying to get 0
@jonathanjohnson3714 Says:
18:58 why do you even need the -1?
@jonathanjohnson3714 Says:
14:40 where do you get the 49??
@jonathanjohnson3714 Says:
14:24 exact frame p=7 no
@jonathanjohnson3714 Says:
odd pluse odd also = 14?? 14:45
@jonathanjohnson3714 Says:
you dont have to equal 2n though 14:17
@jonathanjohnson3714 Says:
if yall filled things out and showed your work then maybe yall would get some ground
@jonathanjohnson3714 Says:
you never explained or gave a reason to what the weird o is there my guy? need numbers not weird letters. hell weird letters are how you science people fell better then us regular people with basic algebra 2 skill man just put numbers not r this q that we need numbers. everything in math is like a pyramid scam. help you users understand.
@jonathanjohnson3714 Says:
okay so 7 to the power of 3 helps in this situation? 12:14
@jonathanjohnson3714 Says:
11:09 we could figure that out to the infinity by a computer now and figure out the core of everything. somethings are just a math rabbit hole because things are so infinite
@jonathanjohnson3714 Says:
math literally can be whatever you want it to be. strive to be different. don't base your theories on what you already know question everything. that's what makes a great scientist
@jonathanjohnson3714 Says:
7:44 no S there is infinite perfect numbers bro no S
@jonathanjohnson3714 Says:
does it only work with solid numbers? not 1.305783465 for example? you could make it anything though not just simple numbers. if you except the period... its not that simple just for basic numbers
@jonathanjohnson3714 Says:
3:59 all consecutive powers of 2??? wow man couldn't have seen that coming
@jonathanjohnson3714 Says:
3:20 what are the other variations that ad up to no those numbers like 1.1, 1.2, 2.2, 2.6, 2.8, 7.8?? its infinite
@jonathanjohnson3714 Says:
tesla secret numbers 3,6,9
@jonathanjohnson3714 Says:
seeing the video just to 1:30 min. you guys need to check out the video on how 2+2=5.
@tommusikauswahl1066 Says:
I left school and mathematic 40+ yrs ago. and i loved it, that this video made me think of mathematical problems again after all this time. All well until Eulers Sigma Function on odd numbers, then it did get a tidy bit tough to follow - so far. If i have watched all of this video and solved your problem, ill post here again :)
@AayushSubedi-qb6wb Says:
1 is a perfect odd number.😎
@bigdogboos1 Says:
if the pattern at 4:50 is correct, then no, there will never be an "odd perfect number". This is b/c you are always multiplying 2 even numbers, which is always even.
@robertquinn8183 Says:
An odd perfect number can't exist because any number formed by adding its divisors, except itself, will always be even when the number itself is odd.
@august-vi4xu Says:
would 1 work
@EverettVinzant Says:
I must not understand something. You say that the definition of a perfect number is
"Integer divisors added together equal a perfect number."
You then show how six is a perfect number.
1+2+3=1x2x3
Okay. One of the things you have shown is that one will always be on the addition side (1+).
So the math is always going to look like...
1+A+B.... and on the other side (the multiplication side) it's always going to be 1xAxBxC...
An even number is defined as 2n. Since we're only working with integers, n is always an integer.
Odd numbers are 2n - 1
Let's go back to 1+2+3=1x2x3=6
Apparently I need to explain that this does not indicate that all numbers only have two factors. What I have done is said, "Gee, I'm going to be adding a series on numbers, whether it's a factor plus a factor or ten million factors plus ten million factors, eventually all of the problems that are created in basic addition in this example are going to be simplified to 1 + another number + another number
then I get to 1+ another number
then I get to a total"
Example: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 is
1 + 5 + 4 + 5 + 6 + 7 + 8 + 9 + 10 is
1 + 9 + 5 + 6 + 7 + 8 + 9 + 10 is
1 + 14 + 6 + 7 + 8 + 9 + 10 is
1 + 20 + 7 + 8 + 9 + 10 is
1 + 27 + 8 + 9 + 10 is
1 + 35 + 9 + 10 is
1 + 44 + 10... wait stop... SEE the format here?
If you missed it, it's 1 + 2n + 2n
In the first case n = 22, so this is an even integer
In the second case n = 5, so this is an even integer.
This totals 55 an odd number.
2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10
2n x 2n-1 x 2n x 2n-1 x 2n x 2n-1 x 2n x 2n-1 x 2n (even times an odd multiple times)
This answer is going to be an even number.
3,628,800
In order to get an odd number I'd have to only multiply odd numbers.
so 3 x 5 x 7 x 9
And if I ADD only odd numbers together, I get an even number...
And an even number and an odd number are never equal, because 2n does not equal 2n-1 if n is an integer.
1+2n+2n-1= 2n+2n = 4n = 2nx2n
The multiplication side doesn't have a +1 so it ALWAYS has to have the form 2nx2n or 2nx2n-1 because both of these result in an answer of 2n
The only way to arrive at 2n-1 (a negative number) is to have a number that isn't divisible by one, so that you don't add 1 on the addition side. All integers are divisible by one.
Let's do it the other way addition side first
1 + 2n - 1 + 2n - 1=1 + 4n - 2= 1 + 4n = 1 + 2n x 2n
on the multiplication side
1 x 2n - 1 x 2n - 1 = 1 x 4n - 2 = 2n x 2n -2
Does 1+2n * 2n ever equal 2-2n*2n?
1+4n = 2-4n
Add 4n to both sides
1+8n=2
Subtract 1 from both sides
8n=1
The eighth line down (in the statements above) identified a rule that n has to be an integer.
In this formula n=1/8, a fraction is not an integer
Therefore you can never have an odd number as a perfect number.
This constrains the addition side to formulas that only produce even numbers. (2nx2n or 2nx2n+1)
Doesn't this prove that by definition a perfect number is always going to be an even number?
Is there something I'm missing?
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