Largest Triangular Number With Same Digits

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Largest Triangular Number With Same Digits

PmH
Yeah, everybody is going crazy over the prime bit of triangular numbers, but they're not prime numbers, they're triangular numbers.

As for that, very interesting, I learned something new today.

I was thinking of where we used triangular numbers in everyday life, and it struck me that fifteen, our good friend, is used in billiards. biggrin.gif Good fun, anybody else here like billiards?

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beeseven
We also use ten for bowling, and 5050 is the sum of the integers from 1 to 100.

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kurtis
I've been reading this topic and I can't understand because I don't know what a triangular number is lol, and that would help alot if I knew. And from what I have heard it sounds the 666 is an unholy number so some joe shmo thought it would be cool to say it was an itwadjzmcative number.

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Plenoptic
QUOTE(rvalkass @ Apr 18 2006, 01:25 PM) *

A triangular number is a number that can be arranged into an equilarteral triangle made up of that number of dots. For example, 3 can be made into a triangle, one dot above 2 dots. The next number is 6, a row of three dots below the previous ones. Wikipedia has some useful information.


About the 5th post explains it all. People just need to read the whole thing. I guess Triangular numbers weren't explained in the what is. If you can remember 5th grade and patterns with the triangles made out of dots and they ask you how many dots would be in the next triangle. Well each side of the triangle would have to have the same number of dots.

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amhso
im not completely understanding this. so 10 is a triangle number?

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unicornrose
Okay after glancing at the information on Wikipedia I see that it is a sequence thing. I understand all of the numbers but 1. One does not make a triangle. Its just a dot. That is just plain silly. If someone could explain to me why one is considered a triangular number I would love to know.

Now as far as the prime thing goes I don't know how anyone got out of the very first post that they were assuming that 666 was prime. Not once was there mentioned prime numbers. The person was simply asserting in the first 100 triangular numbers 666 is the largest that is all the same digets. smile.gif

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Uentil
thats cool.

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Johnny
I think an easy way to find triangular numbers would be to add each number and the next one, it's hard to explain, but triangular numbers are like this:

1 + 2: 3
1 + 2 + 3: 6
1 + 2 + 3 + 4: 10

And so on, sort of like the bowling pins. Get it? So you can just keep adding numbers bigger than the last and the sum will always be a triangular number. So you can pretty much go on forever, provided you have the time to do so.

(Man, I'm such a genius, I just thought that up.)

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anwiii
QUOTE(unicornrose @ May 31 2006, 06:06 AM) *

Okay after glancing at the information on Wikipedia I see that it is a sequence thing. I understand all of the numbers but 1. One does not make a triangle. Its just a dot. That is just plain silly. If someone could explain to me why one is considered a triangular number I would love to know.

Now as far as the prime thing goes I don't know how anyone got out of the very first post that they were assuming that 666 was prime. Not once was there mentioned prime numbers. The person was simply asserting in the first 100 triangular numbers 666 is the largest that is all the same digets. smile.gif


the original post was edited to make other people look stupid smile.gif
the original post did specifically say "prime #'s"

 

 

 


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