Hi Everyone,

I Found this while I was Searching Google for Tribonacci Numbers and thought that it Might be of Interest.
It Lists ALL the Numbers from 0 - 9,999 Along with a Mathematical FACT ( and Link to Mathworld ) Associated with Each of those Numbers.
I Warn you Now, the List is HUGE, But Definitely Worth a Look.
Somebody Certainly had a Lot of Patience and Perseverance to Produce this.
If you were to Read One a Day, it would Take 27.39 Years to Completely Read the List.
I have Listed the First 49 ( Without the Links ).

0 is the additive identity.
1 is the multiplicative identity.
2 is the only even prime.
3 is the ! ! number of spatial dimensions we live in.
4 is the smallest number of colors sufficient to color all planar maps.
5 is the number of Platonic solids.
6 is the smallest perfect number.
7 is the smallest number of integer-sided rectangles that tile a rectangle so that no 2 rectangles share a common length.
8 is the largest cube in the Fibonacci sequence.
9 is the maximum number of cubes that are needed to sum to any positive integer.
10 is the base of our number system.
11 is the largest known multiplicative persistence.
12 is the smallest abundant number.
13 is the number of Archimedian solids.
14 is the smallest number n with the property that there are no numbers relatively prime to n smaller numbers.
15 is the smallest composite number n with the property that there is only one group of order n.
16 is the only number of the form xy=yx with x and y different integers.
17 is the number of wallpaper groups.
18 is the only number that is twice the sum of its digits.
19 is the maximum number of 4th powers needed to sum to any number.
20 is the number of rooted trees with 6 vertices.
21 is the smallest number of distinct squares needed to tile a square.
22 is the number of partitions of 8.
23 is the smallest number of integer-sided boxes that tile a box so that no two boxes share a common length.
24 is the largest number divisible by all numbers less than its square root.
25 is the smallest square that can be written as a sum of 2 squares.
26 is the only number to be directly between a square and a cube.
27 is the largest number that is the sum of the digits of its cube.
28 is the 2nd perfect number.
29 is the 7th Lucas number.
30 is the largest number with the property that all smaller numbers relatively prime to it are prime.
31 is a Mersenne prime.
32 is the smallest 5th power ( besides 1 ).
33 is the largest number that is not a sum of distinct triangular numbers.
34 is the smallest number with the property that it and its neighbors have the same number of divisors.
35 is the number of hexominoes.
36 is the smallest number ( besides 1 ) which is both square and triangular.
37 is the maximum number of 5th powers needed to sum to any number.
38 is the last Roman numeral when written lexicographically.
39 is the smallest number which has 3 different partitions into 3 parts with the same product.
40 is the only number whose letters are in alphabetical order.
41 is the smallest number that is not of the form |2x - 3y|.
42 is the 5th Catalan number.
43 is the number of sided 7-iamonds.
44 is the number of derangements of 5 items.
45 is a Kaprekar number.
46 is the number of different arrangements ( up to rotation and reflection ) of 9 non-attacking queens on a 9x9 chessboard.
47 is the largest number of cubes that cannot tile a cube.
48 is the smallest number with 10 divisors.
49 is the smallest number with the property that it and its neighbors are squareful.

For those of you who are Interested in Seeing 50 - 9,999 the Link Below will take you to the Rest :-

[url]http://groups-beta.google.com/group/Yaari/browse_thread/thread/8463b4b7f4bb63a1/a2659d78de4c1df3?q=tribonacci+series#a2659d78de4c1 df3[/url]

All the Best.
PAB

that is great

They are very interesting.

Not much can be added to that impressive list.


Don't know why but it made me think of an old pop tune, the boomers on this site may remember the lyrics:

"One is the loneliest number that you'll ever do
Two can be as bad as one
It's the loneliest number since the number one..."


Here's a hint for the group's name (the worried face is mine, nothing to do with the hint )

...

Yep, Troller's a boomer ... give the man a cigar . . .



did you know the Three Dog Night chased Cat Stevens up a tree??

Brad,

Are you trying to give up smoking or do you have a lot of cigars to hand out

Geez Irv ... you're the second one to ask me that today, there was this guy downtown who said to me this morn: "Got any smokes, Mister?" ....