The Warwick Mathematics Society Website

User login

Upcoming events

  • No upcoming events available
Add to iCalendar
more

There are 394 members of the Warwick Mathematics Society, of which 14 are new today!
We're 78% of the way toward our target of 500 members.
You can join up on the UWSU website.

Number game

Post Icon Posted: Submitted by cj on 28 February 2007 - 8:47pm.

Joined: 2006-10-10
Posts: 520

Rules: We start with the number 669 (just a boring number I thought of). Everyone else has to suggest interesting properties that the number has (not just stuff like "it's odd" or "it's divisible by three", good stuff :P) With each property you put down, also put down another number. In two day's time, I'll say which property I thought was the most interesting. Then we use the winner's number, and the game starts again :) I'll also keep score of the top spotters.

I think that google searches are allowed for this, as well as books (there is a classic book devoted to this kind of search), but if you do use one, please credit the author! That way it is all the more impressive if you come up with a property all by your lonesome, and the rest of the forum will see :)

Recap:

Find interesting properties of the number 669! Write them down! Suggest other boring numbers! At 9pm Friday I'll announce winner!

‹ The intelligent thread Gossip ›
Post Icon Posted: 28 February 2007 - 11:25pm

Joined: 2006-11-02
Posts: 1090

Here's why internet searches shouldn't be allowed: (all from OEIS)

Number of partitions of 42 (!) into distinct parts.
$ \varphi(669) = 444 $ which is a decimal repdigit ($ \varphi $ is Euler's totient function).
The concatenation of its nontrivial divisors is a palindrome (from smallest to largest).
669 and the 669th prime only have one digit in common (9).
$ 10\cdot669 $ lies directly between a twin prime pair.

$ \displaystyle \sum_{k=1}^{64} \pi(k) = 669 $ where $ \pi $ is the prime counting function.

$ 669\cdot p_{669} + 2 $ is prime, where $ p_{669} $ is the 669th prime.

And I could go on :p

My number is 2101, the year when, as everyone knows, "war was beginning".
Post Icon Posted: 6 March 2007 - 6:16pm

Joined: 2006-10-05
Posts: 699

I could cheat, but i think this should explain why i havnt been joining in with this.

A non-maths freind sent it to me a while back.

Contains the proof that 384 = 12 wow !!!!

Lol

http://www.stetson.edu/~efriedma/numbers.html
Post Icon Posted: 6 March 2007 - 6:56pm

Joined: 2006-11-02
Posts: 1090

Haha 669 isn't even on the list, great choice by CJ it seems :p
I cheated as well btw (as stated :p), I used OEIS (useful if you ever find an integer sequence and don't know what it is or for those complete the sequence puzzles :D)
Post Icon Posted: 9 May 2007 - 12:40am

Joined: 2006-10-10
Posts: 520

Nothing really nice was found :)
Post Icon Posted: 9 May 2007 - 1:44am

Joined: 2006-11-02
Posts: 1090

I nominate this as the most useless post of the I-need-to-get-my-post-count-back-up series which has lately hit this part of the forum. :p
Post Icon Posted: 9 May 2007 - 10:04am

Joined: 2006-10-10
Posts: 520

Your mom needs to get her post count up
Post Icon Posted: 9 May 2007 - 11:48am

Joined: 2006-08-31
Posts: 696

You're really sad, I may have to disable your post count, or dock you posts or something.

------------
Regards
Steven Jones
Website Editor
The Warwick Mathematics Society
Post Icon Posted: 9 May 2007 - 11:48am

Joined: 2006-08-31
Posts: 696

So sad.

------------
Regards
Steven Jones
Website Editor
The Warwick Mathematics Society
Post Icon Posted: 9 May 2007 - 11:48am

Joined: 2006-08-31
Posts: 696

So very sad.

------------
Regards
Steven Jones
Website Editor
The Warwick Mathematics Society
Post Icon Posted: 9 May 2007 - 8:25pm

Joined: 2006-10-05
Posts: 699

What's sad?
Post Icon Posted: 9 May 2007 - 8:41pm

Joined: 2006-11-02
Posts: 1090

The whole posting just to get your post count higher thing :p.
Post Icon Posted: 9 May 2007 - 10:41pm

Joined: 2006-10-05
Posts: 699

Really? I had no idea.
Post Icon Posted: 10 May 2007 - 3:36pm

Joined: 2006-08-31
Posts: 696

Hopefully the sarcasm of my replies wasn't lost on everyone.

---
Regards
Steven Jones
Website Editor
The Warwick Mathematics Society
Post Icon Posted: 10 May 2007 - 4:18pm

Joined: 2006-10-05
Posts: 699

No the second post did it for me.
Post Icon Posted: 10 May 2007 - 4:18pm

Joined: 2006-10-05
Posts: 699

Did everyone get that i was being sarcastic?
Post Icon Posted: 10 May 2007 - 4:36pm

Joined: 2006-10-10
Posts: 520

I don't get it...
Post Icon Posted: 10 May 2007 - 4:36pm

Joined: 2006-10-10
Posts: 520

Oh! Wait :)
Post Icon Posted: 10 May 2007 - 4:36pm

Joined: 2006-10-10
Posts: 520

Now I do, ehehe
Post Icon Posted: 10 May 2007 - 4:37pm

Joined: 2006-10-05
Posts: 699

I refuse to play this sad game...
Post Icon Posted: 10 May 2007 - 4:48pm

Joined: 2006-10-10
Posts: 520

Yeah, it is pretty lmae :/
Post Icon Posted: 10 May 2007 - 4:48pm

Joined: 2006-10-10
Posts: 520

Lame*

P.S. I'm now matching you on post count
Post Icon Posted: 10 May 2007 - 5:58pm

Joined: 2006-11-02
Posts: 1090

But not mine, and I've pretty much never done consecutive posts (I almost always edit my post above). :P

Back to the Banter Forum