Cambridge Chat (previously New Cambridge Students Entry 2004)

Watch
This discussion is closed.
Camford
Badges: 12
Rep:
?
#4561
Report 15 years ago
#4561
(Original post by fishpaste)
Are you sure that's a necessary condition for t to be a square?

16 is a square, but neither 8 or 2 are squares.

I'm missing something here lol.
For the 16 situation it won't work. Because, either n is odd, or n+1 is odd.
0
fishpaste
Badges: 0
Rep:
?
#4562
Report 15 years ago
#4562
(Original post by Camford)
That's why I said I probably missed out on something. From what I remember, the first few numbers in the sequeneces we found gave every number that fit the criteria without missing anything out.

I'll spend sometime on it and see what I can come up with.
Yep it's a much better way to generate them than we've found. I asked Rich last night about it and he pointed me at:

Image

this does seem to look vaguely similar to what you were saying

because like case1:

n = p^2
(n+1)/2 = q^2

p^2 = 2q^2 - 1 = (rt2.q + 1)(rt2.q - 1)

and well if n is an integer, then n^2k is a square, so I can see where that 2n came in. So yeah looks like this is definitely on the right lines
0
fishpaste
Badges: 0
Rep:
?
#4563
Report 15 years ago
#4563
(Original post by Camford)
For the 16 situation it won't work. Because, either n is odd, or n+1 is odd.
oh yeah
0
Camford
Badges: 12
Rep:
?
#4564
Report 15 years ago
#4564
(Original post by fishpaste)
Yep it's a much better way to generate them than we've found. I asked Rich last night about it and he pointed me at:

Image
So what does this thing do? Generate n or generate T?
0
fishpaste
Badges: 0
Rep:
?
#4565
Report 15 years ago
#4565
generates T
0
Camford
Badges: 12
Rep:
?
#4566
Report 15 years ago
#4566
(Original post by Camford)
So what does this thing do? Generate n or generate T?
Never mind, found it on mathworld.
0
Camford
Badges: 12
Rep:
?
#4567
Report 15 years ago
#4567
(Original post by fishpaste)
generates T
Did you read that article about this square triagular numbers? It didn't take Euler to figure out there are infinte numbers of such number that afternoon.
0
fishpaste
Badges: 0
Rep:
?
#4568
Report 15 years ago
#4568
(Original post by Camford)
Did you read that article about this square triagular numbers? It didn't take Euler to figure out there are infinte numbers of such number that afternoon.
Did we?
0
Camford
Badges: 12
Rep:
?
#4569
Report 15 years ago
#4569
(Original post by fishpaste)
Did we?
We as in my friend and I.
0
fishpaste
Badges: 0
Rep:
?
#4570
Report 15 years ago
#4570
(Original post by Camford)
We as in my friend and I.
Ahh yes. Sorry =P
0
Camford
Badges: 12
Rep:
?
#4571
Report 15 years ago
#4571
(Original post by fishpaste)
Ahh yes. Sorry =P
Are you going to follow my lead and have another go at it or not?
0
Helenia
Badges: 20
Rep:
?
#4572
Report 15 years ago
#4572
Can't you lot go and have a little mathematician's huddle in a corner somewhere? And stop making the rest of us look stupid?
0
Squishy
Badges: 11
Rep:
?
#4573
Report 15 years ago
#4573
(Original post by Helenia)
Can't you lot go and have a little mathematician's huddle in a corner somewhere? And stop making the rest of us look stupid?
Did you know Tinky Winky is a gay role model?
0
Camford
Badges: 12
Rep:
?
#4574
Report 15 years ago
#4574
(Original post by Squishy)
Did you know Tinky Winky is a gay role model?
The purple one?
0
The Albatross
Badges: 1
Rep:
?
#4575
Report 15 years ago
#4575
lol whatever!

i just have changed my profile pic to one of me WITHOUT my brace! <--like this
0
Camford
Badges: 12
Rep:
?
#4576
Report 15 years ago
#4576
(Original post by Helenia)
Can't you lot go and have a little mathematician's huddle in a corner somewhere? And stop making the rest of us look stupid?
*Camford gives Squishy a warm cuddle in the Mathematicians' corner....(manly cuddle, nothing else)*
0
Helenia
Badges: 20
Rep:
?
#4577
Report 15 years ago
#4577
(Original post by Squishy)
Did you know Tinky Winky is a gay role model?
Of course. Dont you think the poncho and sombrero help?
0
The Albatross
Badges: 1
Rep:
?
#4578
Report 15 years ago
#4578
(Original post by Helenia)
Of course. Dont you think the poncho and sombrero help?
and the dalmation print handbag!
0
fishpaste
Badges: 0
Rep:
?
#4579
Report 15 years ago
#4579
Tinky Winky's too fat to be gay. Everybody knows gay people have rippling six packs.
0
Camford
Badges: 12
Rep:
?
#4580
Report 15 years ago
#4580
(Original post by fishpaste)
Tinky Winky's too fat to be gay. Everybody knows gay people have rippling six packs.
Oi, he's a teletubby. Normal rule does not apply.
0
X
new posts
Back
to top
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

If you do not get the A-level grades you want this summer, what is your likely next step?

Take autumn exams (264)
46.56%
Take exams next summer (78)
13.76%
Change uni choice through clearing (121)
21.34%
Apply to uni next year instead (60)
10.58%
I'm not applying to university (44)
7.76%

Watched Threads

View All