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2010-02-16, 15:13   #177
R.D. Silverman

Nov 2003

1D2416 Posts

Quote:
 Originally Posted by blob100 I have a new conjecture (it isn't about mersenne numbers), I conjecture that: between n^2 to n^2+2n there is always a prime number. When n is an odd number. We can show n^2+2n as n(n+2). So, $\sum_{n=1}^{\infty}n^{2}=1+3+5....2n-1$ $\sum_{n=1}^{\infty}n^{2}=1+3+5....2n-1+2n$
STOP.

 2010-02-16, 15:17 #178 blob100   Jan 2010 37910 Posts Silverman, I can't read now so I conjecture..
2010-02-16, 15:27   #179
R.D. Silverman

Nov 2003

1D2416 Posts

Quote:
 Originally Posted by blob100 Silverman, I can't read now so I conjecture..
Making conjectures out of ignorance makes one look like a fool.

One can not make intelligent conjectures without being aware of
already existing conjectures. One needs to know what is known
and what isn't known.

2010-02-16, 18:42   #180
CRGreathouse

Aug 2006

596210 Posts

Quote:
 Originally Posted by blob100 I conjecture that: between n^2 to n^2+2n there is always a prime number. When n is an odd number.
You're 200 years too late!

This statement a special case of Legendre's conjecture. That conjecture is the same, but for any natural n rather than just an odd.

 2010-02-16, 18:44 #181 blob100   Jan 2010 379 Posts Great! is there a proof? (I mean, I really want to see know can it be proven!)
2010-02-16, 18:48   #182
Mini-Geek
Account Deleted

"Tim Sorbera"
Aug 2006
San Antonio, TX USA

426710 Posts

Quote:
 Originally Posted by blob100 Great! is there a proof? (I mean, I really want to see know can it be proven!)
http://en.wikipedia.org/wiki/Conjecture
Quote:
 A conjecture is a proposition that is unproven but appears correct and has not been disproven.
If it were proven, it wouldn't be called a conjecture, it'd be called a theorem.
(unless of course it is in fact a theorem but people still call it conjecture out of habit, as with the Poincare conjecture/theorem)

Last fiddled with by Mini-Geek on 2010-02-16 at 18:49

 2010-02-16, 18:50 #183 blob100   Jan 2010 379 Posts Yes, I know, but there are theorems that are called conjecture too. Last fiddled with by blob100 on 2010-02-16 at 18:52
2010-02-16, 19:25   #184
R.D. Silverman

Nov 2003

22×5×373 Posts

Quote:
 Originally Posted by blob100 Yes, I know, but there are theorems that are called conjecture too.

2010-02-16, 20:01   #185
R.D. Silverman

Nov 2003

746010 Posts

Quote:
 Originally Posted by R.D. Silverman Oh? Citation Please.
May I suggest that you read R. Guy's "Unsolved Problems in Number Theory"???

2010-02-16, 20:43   #186
flouran

Dec 2008

72×17 Posts

Quote:
 Originally Posted by R.D. Silverman Oh? Citation Please.
Poincare Conjecture. It's been proven by Perelman but is still commonly called the "Poincare Conjecture".

2010-02-16, 22:22   #187
ET_
Banned

"Luigi"
Aug 2002
Team Italia

2·3·17·47 Posts

Quote:
 Originally Posted by flouran Poincare Conjecture. It's been proven by Perelman but is still commonly called the "Poincare Conjecture".
See post #185

Luigi

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