√ √ √ √ √ √ √ √

[chrisheaven]

I did know that
I also know
The famous "cannonball stacking" problem of Lucas (1875) requires
a sum of consecutive squares, beginning with 1, equal to a square.
The only non-trivial solution is

1^2 + 2^2 + 3^2 + ... + 24^2 = 70^2

 

[milagros317]

Very nice, that one I had forgotten.

 

[Bugman]

o god...my head is spinning....

Be glad yours is only spinning luv,because mine just exploded.

 

[milagros317]

Note that 5 is prime in the integers but becomes composite in the complex intergers as (2+i)(2-i)

 

[cettorpes]

Did you know that 2x2 sometimes make five?

 

[milagros317]

Same for 13, prime in the integers but (3+2i)(3-3i) in the complex integers.

 

[chrisheaven]

THis is the best thread ever!! Finally something a bit more High brow.

Now that's what i love to hear LOL

 

[milagros317]

Yes, this is a very intellectual thread.

Did you know that all goups of order 11 are isomorphic to each other?

 

[cettorpes]

37..15..31.......19..32.....19..31.

 

[milagros317]

Not sure what that sequence means.

 

[PBL]

2 things

1) e^pi*i + 1 = 0
2) http://youtube.com/watch?v=UTby_e4-Rhg

 

[milagros317]

1) Leonhard Euler was quite proud of that equation.
2) Very funny song, thanks for the link.

 

[chrisheaven]

hey i started an intellectual thread

 

[milagros317]

Yes, isn't that amazing.

 

[cettorpes]

High brains, if you solve this, you will get a nice space pic!

37..15..31.......19..32.....19..31.

 

[chrisheaven]

no idea-- but which is the odd one out in this list of numbers-- its an old chinese puzzle


34, 36, 37, 39, 41, 48