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[QUOTE=EdH;282193]Already a change for one:
[URL="http://www.factordb.com/sequences.php?se=1&eff=2&aq=742740&action=last20&fr=0&to=100"]742740[/URL] has dropped one of the 5s. Within the last 20 lines, it has shed two 3s and two 5s. If it would just lose one more of each...:whistle:[/QUOTE] Ouch! One of the worst - read most persistent and fast increasing - drivers.... (2^3*(2^4-1))... If you can get rid of it, please let us know, I am yet to see how this driver can be broken... In fact, I am dying to see that, see my posts about 585000 in the reservation thread. Usually it holds for hundreds of terms.... Who said "Fear the 2^3*3*5" was damn right! |
[QUOTE=LaurV;282363]Ouch! One of the worst - read most persistent and fast increasing - drivers.... (2^3*(2^4-1))... If you can get rid of it, please let us know, I am yet to see how this driver can be broken... In fact, I am dying to see that, see my posts about 585000 in the reservation thread. Usually it holds for hundreds of terms....
Who said "Fear the 2^3*3*5" was damn right![/QUOTE] It proved too persistent! 2^3 * 3 * 5 has been steady for 15 lines. I let it go at 145/c132... |
[QUOTE=LaurV;282363]Ouch! One of the worst - read most persistent and fast increasing - drivers.... (2^3*(2^4-1))... If you can get rid of it, please let us know, I am yet to see how this driver can be broken... In fact, I am dying to see that, see my posts about 585000 in the reservation thread. Usually it holds for hundreds of terms....
Who said "Fear the 2^3*3*5" was damn right![/QUOTE] When I want to see how to lose a driver I look at small sequences in the database with the driver(2^3*3*5*7 works for 2^3*3*5). This can give a good idea how to lose it. |
[QUOTE=henryzz;282613]When I want to see how to lose a driver I look at small sequences in the database with the driver(2^3*3*5*7 works for 2^3*3*5). This can give a good idea how to lose it.[/QUOTE]
7 had nothing to do here, it comes and goes every few terms, unless you manage to get 2^2, when 3 and 5 will come and go and 2^2*7 will stay. What I call "driver" is always a number of the form 2^n*(2^(n+1)-1), with 2^(n+1)-1 being prime or not. These are the most persistent, no mater if they are perfect numbers or not (they are perfect numbers when 2^(n+1)-1 is prime, therefore a mersenne prime). Like 2*3, 2^2*7, 2^3*3*5, 2^4*31, 2^6*127... 2^10*23*89... 2^12*8191... etc. And even from this list, some of them are missing, they are only guides, for example 2^5*3^2*7 (i.e. n=5), this is not very persistent due to the even power of 3. They are more and more persistent as n is higher, and they make the sequence grow faster and faster when n is smaller and very smooth composite. |
I posted a complete status update over in the reservation thread.
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[QUOTE=LaurV;282763]7 had nothing to do here[/QUOTE]
He meant, 2^3*3*5*7 (840) is an example of a sequence with the 2^3*3*5 driver. Examining that will help you see how the driver is lost ([url]http://www.factordb.com/sequences.php?se=1&eff=2&aq=840&action=range&fr=0&to=21[/url]) |
Aaaa! Ok. Now I understand what he said. Sorry for being dumb. Of course I am doing the same, studying sequences with small start numbers. I did this repeatedly, usually adding *19*37 after the drivers, or some equivalent.
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releasing 412944, i2621, size 138, 2^2*3*5*7*619944163* C127
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you'll be happy to know I got aliquot back up and running off my old PC, now to get prime95 to not be copied as a short cut and I might be up and running working on a C104 in this current sequence.
I should probably test the machine first and 2 I forgot to get perl again. |
[QUOTE=science_man_88;283795]you'll be happy to know I got aliquot back up and running off my old PC, now to get prime95 to not be copied as a short cut and I might be up and running working on a C104 in this current sequence.
I should probably test the machine first and 2 I forgot to get perl again.[/QUOTE] I don't want to take everything away from slower machines but I now seem to have everything up and running. |
And, just in time for the new year (in my time zone, anyway)... the elves have finished all the c108s in open unreserved sequences!
Happy new year, everyone! |
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