Leyland Numbers - Numberphile
video description
The one in the end is clear, because the number of zeroes n is the same number as the amount of 2s or 5s, whichever is smaller, apearing in the prime factorisation.
(The reason for that is, that if you have 2 and 5 in the primefactorisation it is dividable by ten, meaning the number got a 0 in the end.
But i'm stuck with the second huge part of zeroes in the middle of the number.
Date: 2022-04-08
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Comments and reviews: 9
Tamir
I wonder: (sorry for asking)
What if I -invent- a new number like (a-b)+(b-c)+(c-a)
Then I will check, say, which of the results is a pithagorrian number, means: it can be expressed as the sum of 2 squares.
Will NUMBERPHILE will call it Tamir's number (after me?
I mean, ok, x-y + y-x is a prime.
SO WHAT?
What mathematical of philosophical meaning does it have? And how many new -numbers- do you challenge me to invent in the next 5 minuts?
reply
I wonder: (sorry for asking)
What if I -invent- a new number like (a-b)+(b-c)+(c-a)
Then I will check, say, which of the results is a pithagorrian number, means: it can be expressed as the sum of 2 squares.
Will NUMBERPHILE will call it Tamir's number (after me?
I mean, ok, x-y + y-x is a prime.
SO WHAT?
What mathematical of philosophical meaning does it have? And how many new -numbers- do you challenge me to invent in the next 5 minuts?
reply
Вася
Looking at some of the number set definitions, anyone can come-up with them. All you do is come up with some set of math operations, define boundaries for the numbers that go into it, and you have yourself a set of numbers to be named after you. I know that some of the number sets like primes are very important, but others look like some arbitrary equation or a function.
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Looking at some of the number set definitions, anyone can come-up with them. All you do is come up with some set of math operations, define boundaries for the numbers that go into it, and you have yourself a set of numbers to be named after you. I know that some of the number sets like primes are very important, but others look like some arbitrary equation or a function.
reply
Szymon
Am I the only one who is not able to watch Numberphile's videos because of the sound the marker makes on that brown paper? It's like scratching the blackboard with fingernails or a ceramic plate with a knife to me. Please, please, please, start using whiteboards or mute the marker sound in video post-processing. Thank you.
reply
Am I the only one who is not able to watch Numberphile's videos because of the sound the marker makes on that brown paper? It's like scratching the blackboard with fingernails or a ceramic plate with a knife to me. Please, please, please, start using whiteboards or mute the marker sound in video post-processing. Thank you.
reply
The
Random question: should I learn to integrate manually? I'm studying calculus and I feel like this should be quite a hard thing to do for more complex functions and there's not much use in it, right? I learned to differentiate quite well, though. But I think I'd rather study some proofs or something. Or am I wrong?
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Random question: should I learn to integrate manually? I'm studying calculus and I feel like this should be quite a hard thing to do for more complex functions and there's not much use in it, right? I learned to differentiate quite well, though. But I think I'd rather study some proofs or something. Or am I wrong?
reply
artidew
How many Leyland primes consisting of primes are there? In the show I can see only 17 made out of 2 and 3.
As some people noticed here in comments if Leyland prime is made of 2 the second number is divisible by 3. Therefore 17 is only Leyland prime that consist of 2 primes out of which one prime is 2.
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How many Leyland primes consisting of primes are there? In the show I can see only 17 made out of 2 and 3.
As some people noticed here in comments if Leyland prime is made of 2 the second number is divisible by 3. Therefore 17 is only Leyland prime that consist of 2 primes out of which one prime is 2.
reply
Andreas
Hey -Numberphile. I once named the set of numbers that are the sum of it's digits factorials Weiland numbers. Back then, (in high school) my last name was Weiland. There are only four in total I proved. (in the base of ten) Probably someone has already thought of this and named them before me.
reply
Hey -Numberphile. I once named the set of numbers that are the sum of it's digits factorials Weiland numbers. Back then, (in high school) my last name was Weiland. There are only four in total I proved. (in the base of ten) Probably someone has already thought of this and named them before me.
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NinjaXM0
Can you make a video about this sequence, 1, 3, 6, 10, 15, 18, 25?
I got this sequence when I was connecting the points of polygons, these numbers represent the number of lines drawn.
I can't find an equation for this problem, so I thought you might know.
Thanks.
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Can you make a video about this sequence, 1, 3, 6, 10, 15, 18, 25?
I got this sequence when I was connecting the points of polygons, these numbers represent the number of lines drawn.
I can't find an equation for this problem, so I thought you might know.
Thanks.
reply
razorborne
so HOW is it used to figure out if things are prime? since being a Leyland number doesn't imply primeness, and there seems to be no consistent pattern for prime Leyland numbers, (it looked at first like they all had y=2, but the higher ones broke that) how do they help?
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so HOW is it used to figure out if things are prime? since being a Leyland number doesn't imply primeness, and there seems to be no consistent pattern for prime Leyland numbers, (it looked at first like they all had y=2, but the higher ones broke that) how do they help?
reply
SmileyMPV
I noticed that the first few leyland primes he showed: 3-2+2-3, 9-2+2-9, 15-2+2-15, 21-2+2-21 they are all of the form x-2+2-x where x is of the form 3+6k where k=0, 1, 2, 3. but then i tried k=4: 27-2+2-27 and it turned out to be 73x521x3529: (
reply
I noticed that the first few leyland primes he showed: 3-2+2-3, 9-2+2-9, 15-2+2-15, 21-2+2-21 they are all of the form x-2+2-x where x is of the form 3+6k where k=0, 1, 2, 3. but then i tried k=4: 27-2+2-27 and it turned out to be 73x521x3529: (
reply
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