Exponential prime search - Page 4

Citrix · 2006-03-13, 00:43

GS, What is the best you got with c=1 ie f(x)= ax^2+bx+1?

Nice 10 sequence.

Citrix

grandpascorpion · 2006-03-13, 01:25

Thanks guys. I have been running this new version for the past couple of days. One funny thing about this function is that does have mod roots for a very low prime (only 11) plus numerous others for primes under 100. I haven't checked any other 9 sequences on this point. I know at least Jens and I have tried search using polys that don't have low prime mod roots. (Apologies if my terminology is unorthodox).

Citrix, I don't know to be honest but I suspect it would be considerably harder to find a long sequence. I'm not checking specific polynomials anymore as the primes dictate the curve.
I can tell you that if you pick a few primes quite close to each other (which I have been doing so that the function doesn't grow so quickly and also the search space is much narrower but fertile probability-wise), you'll get substantial c (and b) terms.

gd_barnes · 2009-08-17, 04:55

Where's that crank meter at when you need it?

mdettweiler · 2009-08-17, 05:01

Quote:

Originally Posted by gd_barnes

Where's that crank meter at when you need it?

Maybe not quite what you're looking for, but pretty close:

gd_barnes · 2009-08-17, 06:32

Science_man, you also previously made the same claim about the same "possible" huge prime in this posting here:

http://www.mersenneforum.org/showpos...25&postcount=9

Did you think you would get a different response here? The number is too large to be tested. Period.

You're getting pretty high on the "crank meter" now.

Please quit wasting our time with gibberish and learn a little about the law of large #'s before posting the same gibberish in multiple places.

2006-03-13, 01:25	#35
grandpascorpion Jan 2005 Transdniestr 503 Posts	Thanks guys. I have been running this new version for the past couple of days. One funny thing about this function is that does have mod roots for a very low prime (only 11) plus numerous others for primes under 100. I haven't checked any other 9 sequences on this point. I know at least Jens and I have tried search using polys that don't have low prime mod roots. (Apologies if my terminology is unorthodox). Citrix, I don't know to be honest but I suspect it would be considerably harder to find a long sequence. I'm not checking specific polynomials anymore as the primes dictate the curve. I can tell you that if you pick a few primes quite close to each other (which I have been doing so that the function doesn't grow so quickly and also the search space is much narrower but fertile probability-wise), you'll get substantial c (and b) terms. Last fiddled with by grandpascorpion on 2006-03-13 at 01:25

2009-08-17, 06:32	#38
gd_barnes May 2007 Kansas; USA 289B₁₆ Posts	Science_man, you also previously made the same claim about the same "possible" huge prime in this posting here: http://www.mersenneforum.org/showpos...25&postcount=9 Did you think you would get a different response here? The number is too large to be tested. Period. You're getting pretty high on the "crank meter" now. Please quit wasting our time with gibberish and learn a little about the law of large #'s before posting the same gibberish in multiple places. Last fiddled with by gd_barnes on 2009-08-17 at 06:35

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2006-03-13, 00:43	#34
Citrix Jun 2003 3056₈ Posts	GS, What is the best you got with c=1 ie f(x)= ax^2+bx+1? Nice 10 sequence. Citrix

2009-08-17, 04:55	#36
gd_barnes May 2007 Kansas; USA 3³·5·7·11 Posts	Where's that crank meter at when you need it?