20170730, 13:40  #1  
Dec 2011
After milion nines:)
2×709 Posts 
Last part of P1 puzzle ( in CRUS world)
Since in my last post everyone told me to be patient ( until I found big prime) I decide to solve last part of puzzle of P1 that is missed to me.
So Batalov say this Quote:
Quote:
If 4*53^n+1 is NOT GFN sequences, then give me example of one GFN sequences in "CRUS world" :) so I can teach on that sequence. If I undestand correctly if I know "list of know factors" , I will drasticaly increase chance to find factor. Please give me clear examples, and thanks for answer this question (even it is maybe) useless or even stupid :) P.S Since B1 and B2 gives me time of process for one test, I can adjust time per test. So dont bother with fact is P1 efficient or it is not: I try to find, to learn, how to get for GFN sequences working process. Will I lost 10 days and find few factors is irrelevant: if I learn ( with your help) Thanks once more Last fiddled with by pepi37 on 20170730 at 13:47 

20170730, 15:30  #2  
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
5×1,877 Posts 
To quote from http://mathworld.wolfram.com/General...matNumber.html
Quote:
Chris Caldwell used "Generalized Fermat Number" in the first sense but in the second subkind. So when UTM database will mark for 4*53^n+1 with even n as a "Generalized Fermat Number", this only means that your numbers are of A^2^m+1 type where A is a very large number and m=1. The consequence of that these numbers will only have factors of type 4*t+1. P1 will be not very useful or fast, but you can run it as written by you. It depends on what you actually want to do. If you want to run P1 for the sake of just running P1, you can. You will even find some factors. Unsure about your confusion about what "commaseparatedlistofknownfactors" means. It means exactly that. Because we can assume that you are not in the business of "completely factoring of e.g. 53^1026*4+1" but that you are using P1 for cleaning up your sieve file, then "commaseparatedlistofknownfactors" is an empty field, because you don't know any factors. __________ What you quoted uses GFN in first sense and first subkind. n must be large for the P1 to work effectively. 

20170731, 15:03  #3 
Dec 2011
After milion nines:)
2×709 Posts 
As always thanks Batalov for answer
Respect! So for me: puzzle is completed :) Continuing to search my big prime :) Last fiddled with by pepi37 on 20170731 at 15:06 
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