All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Numbers of letters of numbers of letters of... (Posted on 2006-09-10)
If you take any number you can think of, any integer whatsoever, count the number of letters it takes to write it out fully (with or without any 'and's you may need), then take THAT number and repeat the procedure infinitely, what number (or numbers) does this strange series converge to? Is there a unique solution?

Let's face it, this won't be a challenge. But here's an extra thing or two for you. Do you know if this series converges in every language? If the series converges, what number does it converge to? Do they have a unique solution? Can you tell of any language(s) in which does this series not converge?

Note: What if you converted this series into cardinal numbers instead (34 = thirty fourth [12 letters] then 12 = etc.)? How many possible convergence values are there in English or any other language you know?

 No Solution Yet Submitted by Alexis Rating: 3.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 Some other languages | Comment 2 of 15 |

Spanish

uno/dos, tres, cuatro, cinco, cinco
1/2,3,4,5,5

seis/diez cuatro, cinco
6/10,4,5

Looks like it goes to 5 (cinco)

Russian
Odin(1) has 4 letters
Chetire(4), has 6 letters because Ch is one letter.
Shest(6) has 5 letters because Sh is one letter and there is a silent letter at the end.
Pyat(5) has 4 letters because Py is one letter, and there is a silent letter at the end.

Tri(3) has 3 letters, etc.

It seems that Russian will loop forever to 4,6,5 except when starting with tri, which has 3 letters.

 Posted by Joe on 2006-09-10 10:25:20

 Search: Search body:
Forums (0)
Random Problem
Site Statistics
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox: