[quote=__HRB__;204213]You are not paying attention to the examples or you would have noticed the superfluous ")" in the second line of the [URL="http://pari.math.u-bordeaux.fr/"]PARI/GP[/URL] script. CRGreathouse took the time and had the smarts to figure out what you meant, but to thank him for it you don't even bother to recreate the results?[/quote]
What do you mean by recreate the results?

[quote=Damian;204216]Yes, [tex]p=11 \ s=5[/tex] was the counterexample I mentioned on my re-written version of the conjeture at post #110
So we can conclude the conjeture was false. [tex]\qed[/tex]

Another work well done.[/quote]
Yes I know about 11, 5 and I changed the conjecture:
2^s\equiv +/-1\(mod p)
I know that this conjecture is false too but I want to understand and to know for which prime numbers it is true.
I am still not giving up.

[QUOTE=blob100;204234]What do you mean by recreate the results?[/QUOTE]

Download & install PARI/GP and run CRGreathouse' program.

I don't need I saw the results he published.

Do you have any suggestions what can the p numbers that agree with my conjecture be differ from the p numbers that prove the conjecture as false?

[QUOTE=blob100;204238]I don't need I saw the results he published.[/QUOTE]

Then you're going to remain a lazy ignoramus, who needs smarter people to do the mental work for him. Unfortunately for you, one advantage of being smart is that you learn to avoid falling for the same trick twice...I'm certain that R.D. Silverman and CRGreathouse have better things to do than to shoot down your conjectures, even if it only takes 15 minutes of thinking and 3 lines of code.

My two cents...

A conjecture is not a simple idea come out when you wake up in the morning.

A conjecture is based on solid axioms and theorems, a sound knowledge of math and some genius.

If someone tells me that my "conjecture" is false, I would study all the reasons why it is false BEFORE trying to mend it: genius is 5% inspiration and 95% transpiration.

Finally you shouldn't modify a conjecture to adapt it to the results, because this way you are cheating, or simply trying to find a way to show a conjecture whatsoever, not just your idea.

Mind the generous people who helped you till now, and go study algebra and number theory: if you succeed, you'll have millions of conjectures you can demonstrate. And you will be proud to demonstrate all of them by yourself.

If you look for quick fame and fortune, you took the wrong way.
If you look for math maturity, listen to those who reached it.

Luigi

[quote=ET_;204243]My two cents... genius is 5% inspiration and 95% transpiration.
[/quote]
I think you may find women glow, men perspire, horses sweat
and trees (and thoughts) transpire.

(Henry Ford) but as ever I'm open to correction:smile:

David

To HRB and ET,
You didn't understand me right.
I meant that I can use the results mini geek got becuase I don't know computing to make this program work.
To say that I'm lazy is false and I'm sorry if I was heard like a cheater that wants others to work for him, btw: he did it by himself.
So ET,
By reading what you wrote, I understood that I can't find my own ideas becuase I'm not a genius.
And NO I don't found this idea when I woke up in the morning.

Tomer

Keep smiling through
 

Keep at it Tomer.
I think it's gonna work out fine:smile:

[URL]http://www.youtube.com/watch?v=as2JvEHMroo[/URL]

David

[QUOTE=blob100;204239]Do you have any suggestions what can the p numbers that agree with my conjecture be differ from the p numbers that prove the conjecture as false?[/QUOTE]

Yes. Go learn some number theory.