how to know if my ideas didnt tought before? - Page 17

R.D. Silverman · 2010-02-16, 15:13

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.

Stop conjecturing and start READING.

blob100 · 2010-02-16, 15:17

Silverman,
I can't read now so I conjecture..

R.D. Silverman · 2010-02-16, 15:27

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.

CRGreathouse · 2010-02-16, 18:42

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.

blob100 · 2010-02-16, 18:44

Great! is there a proof? (I mean, I really want to see know can it be proven!)

Mini-Geek · 2010-02-16, 18:48

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)

blob100 · 2010-02-16, 18:50

Yes, I know, but there are theorems that are called conjecture too.

R.D. Silverman · 2010-02-16, 19:25

Quote:

Originally Posted by blob100

Yes, I know, but there are theorems that are called conjecture too.

Oh? Citation Please.

R.D. Silverman · 2010-02-16, 20:01

Quote:

Originally Posted by R.D. Silverman

Oh? Citation Please.

May I suggest that you read R. Guy's "Unsolved Problems in Number Theory"???

flouran · 2010-02-16, 20:43

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".

ET_ · 2010-02-16, 22:22

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

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

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

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!)