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Largest Triangular Number With Same Digits


rlineker
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Post #1 post Apr 18 2006, 07:26 AM
The largest triangular number with the same number to have yet been discovered is 666.

The First 100 Triangular Numbers
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This post has been edited by rlineker: Apr 18 2006, 10:31 AM
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rvalkass
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Post #2 post Apr 18 2006, 08:10 AM
How can 666 possibly be a prime number? A prime number is a number divisible only by itself and 1, and 666 is divisible by 6, 3 and 2, and many other numbers. Do you mean that 666 is the largest triangle number with all the digits the same?
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Post #3 post Apr 18 2006, 09:17 AM
QUOTE(rvalkass @ Apr 18 2006, 03:10 AM) [snapback]244296[/snapback]

How can 666 possibly be a prime number? A prime number is a number divisible only by itself and 1, and 666 is divisible by 6, 3 and 2, and many other numbers. Do you mean that 666 is the largest triangle number with all the digits the same?


haha i had to think twice on that one. i thought i may have forgotten my basic math from 30 years ago....WHEW....anyway, 666 is definately not a prime number. nor is any even # a prime # since they are all automatically divisable by 2 maybe he thought the # 666 was cool to post about and just wanted to increase his credits for webhosting. i am very curious where he got this information from.....
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PIPER-4-HIRE
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Post #4 post Apr 18 2006, 05:03 PM
SHENNANIGANS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

anwiii is right... several other #'s in the list are wrong as well.
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Post #5 post Apr 18 2006, 05:08 PM
What is the definition of a Triangular Number? It has been a while since I have studied Math, so there must be a definition I am not aware of.
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rvalkass
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Post #6 post Apr 18 2006, 05:25 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.
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DaeFenris
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Post #7 post Apr 18 2006, 09:04 PM
Ooooh fun. I love quirky math like that. I'm going to read that wiki info as soon as I get some free time.
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misere
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Post #8 post Apr 25 2006, 08:01 PM
Right, I'm confused. Why would a triangular number have to be prime? 6 isn't prime, but it's a triangular number, too, with one dot in the first row, two in the second, and three in the third, to form an equilateral triangle.
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Kioku
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Post #9 post Apr 26 2006, 07:51 PM
QUOTE(rlineker @ Apr 18 2006, 03:26 AM) [snapback]244280[/snapback]

The largest triangular number with the same number to have yet been discovered is 666.

The First 100 Triangular Numbers
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First and foremostly, stop making up facts like "666" being such a thing for the sole sake of being "controversial". Secondly, check your facts. Alot of numbers are wrong there and I believe with today's modern technology and processing power, we'd have a higher triangular number than something in the six-hundred sixties, especially when we're able to genereate many digitted prime numbers as we are capable of doing as of now.
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Post #10 post Apr 27 2006, 08:09 AM
@misere: A triangular number need not be prime. Whoever made such an assertion? smile.gif

@Kioku: I don't think the original poster was trying to claim that the hundered numbers listed here are all that are known to mankind *grin* Er... (s)he's probably trying to say that 666 is the largest triangular number to be composed of the same digits, or something like that. How far that is true, however, I have not been able to check *shrug*

On the other hand, I don't think it's difficult to generate triangular numbers (if the definition is anything to go by). Definitely looks less trickier than primes, for instance.

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