Done with 724896, 115 digits, 2^5*3*7 - did someone run the wrong sequence? My run was only 112 digits, so someone else must have done this.

Taking 721386 721518 721764.

Done with 724410, 108 digits, 2^4*3*5*7*31

Also done with 724248, 101 digits, 2^2*5^3*7^2

done with 718920
reserving 720018

Done with 724650, 113 digits, 2^3*3*5

Reserving:
721032, 721080, 721364, 721392, 721470, 721536, 721728, 721980, 721992

done with 720018
reserving 720312

Done with [code]721280 404. 2^2 * 3 * 5 * 7 c97 sz 103[/code]

done with 720312
reserving 720552

Reserving 729840, but will be away for most of the weekend, so not much work.

Will take 725052 729792 727596 and 729660

Taking 726174 727056 727122 727830 728610

Releasing 727122; a "mysterious worker" has pushed up the sequence to 104 digits !

[quote=Batalov;195836]Will take 725052 729792 727596 and 729660[/quote]
[URL="http://factordb.com/aliquot.php?type=1&aq=729660"]729660[/URL] reached down to 9 digits.
Twice...
Escaped 2^3*3*5 into downdriver. But not for long and then, ballooned into stratosphere with a new 2^3*3*5. No merge. Life is still interesting.

[QUOTE=rodac;195845]Releasing 727122; a "mysterious worker" has pushed up the sequence to 104 digits ![/QUOTE]

sorry, was me!
done it a few days ago. i was not aware, that this range was already offered here.

just completed 730272, too.

[QUOTE=10metreh;195835]Reserving 729840, but will be away for most of the weekend, so not much work.[/QUOTE]

Er... maybe not. With a C2D to hand, I can say that I am done with [code]729840 1572. 2^2 * 7 c95 sz 101[/code]
This one had a few short downdriver runs, but the last (which only lasted two lines) dropped directly into 2^2 * 7.

Reserving 728640

Done: 722142, 722430, 722800, 722904

Reserving 727008, 727110, 727536, 727770

done with 720552, this one accidentally ran a little too long and got to c111 :smile:
reserving 720762

Done with 721032, 119 digits, 2^2*3*7^2

720996 is done for the subproject (108 digits at i: 1006), but I keep it, up to push it further (driverless !)

Done with 721080, 103 digits, 2^3*3*5*7

Done with 726174, index 601, 103 digits, 2^3 * 3 * 5

done with 720762
reserving 720912

727830 is done for the subproject
I keep it reserved because it has no driver
index 2159 - 104 digits - 2^3 * 3^2

[QUOTE=rodac;196182]727830 is done for the subproject
I keep it reserved because it has no driver
index 2159 - 104 digits - 2^3 * 3^2[/QUOTE]

That (2^3 * 3) is a driver, but it's the easiest to escape of all drivers, especially while the 3 is squared.

[quote=10metreh;196183]That (2^3 * 3) is a driver, but it's the easiest to escape of all drivers, especially while the 3 is squared.[/quote]

ok I thought that 2^3 * 3 was a guide... :smile:

---

Done with 723120
index 1247, 104 digits, 2^2 * 3 * 7

Done with [code]728640 [B]3554.[/B] 2^4 * 3 * 5 * 31 c94 sz 101[/code]
This one went down from 92 to 11 digits (took several downdriver runs), but then it acquired 2^3 * 3 at 31 digits, that soon changed directly into 2 * 3, and that changed directly into 2^3 * 3 * 5, which changed directly into 2^4 * 31 at 95 digits. Life is sad sometimes. :sad:

[quote=10metreh;196183]That (2^3 * 3) is a driver, but it's the easiest to escape of all drivers, especially while the 3 is squared.[/quote]
I don't think it is a driver unless it has a factor of 5 and the exponent of 3 is one - so specifically 2^3*3^1*5

Anything else isn't fully supported - the powers of two from the 'one more than the odd terms' must be greater or equal to the power of two.

So for example 2^3*3 has only two twos from 3+1 which is less than the 3 of 2^3 so it is not a driver.

Another way of stating it is that it cannot change the power of 2 unless one of the odd terms is a power higher than 1. So [driver]*p where p = 1 mod 4 doesn't escape.

[quote=Greebley;196219]I don't think it is a driver unless it has a factor of 5 and the exponent of 3 is one - so specifically 2^3*3^1*5
...[/quote]
[url]http://www.mersennewiki.org/index.php/Aliquot_Sequences[/url]
2^3 * 3 is a driver (an easy-to-break and slow-growing one), as well as 2^3 * 3 * 5 (a tough-to-break and fast-growing one).

done with 720912
reserving 723432

Done with 725052 729792 727596 and 729660

Ok, you are right. I looked at the Analysis and Class 1 (ones that can escape without a square term on the odd number if they get [driver]*p where p is 1 mod 4) is called a driver so that 2 can be included in the drivers. This has the side effect of including 2^3*3 as a driver as well.

I personally don't consider 2^3*3^2*5 to be a driver because this is class 2 and the exponent of 3 can't be lowered to 1 unless 5 is square. 2^5*3^2*7 can never go to 3^1 without changing the power of 2 so this one remains class 2. The analysis doesn't specifically mention these cases though so I am not sure if they are officially not drivers.

-----------
Done with 721364, 114 digits, 2^3*3*5*7

[QUOTE=Greebley;196275]Ok, you are right. I looked at the Analysis and Class 1 (ones that can escape without a square term on the odd number if they get [driver]*p where p is 1 mod 4) is called a driver so that 2 can be included in the drivers. This has the side effect of including 2^3*3 as a driver as well.[/QUOTE]

Actually the definition of a driver is that, for [tex]2^an[/tex], [tex]n\mid\sigma(2^a)[/tex] and [tex]2^{a-1}\mid\sigma(n)[/tex].

done with 723432
reserving 723480

[quote=10metreh;196282]Actually the definition of a driver is that, for [tex]2^an[/tex], [tex]n\mid\sigma(2^a)[/tex] and [tex]2^{a-1}\mid\sigma(n)[/tex].[/quote]

Actually that is the same thing, just stated more technically. The -1 in a-1 of the second expression is why class 1 is counted. In fact:
[tex]2^{a-<class>}\mid\sigma(n)[/tex]

Reserving 726354

done with 723480
reserving 723528

reserving 723780

Done with 721392, 101 digits, 2*3^4

Done with 724014 which was already past 100 digits. It picked up 2^3*3*5 and is 116 digits.

done with 723528
reserving 723834

724578 has had a bunch of ups and downs; I have run it for a full week now. It has been stuck between 100 and 110 digits for about 200 indices. It is still driverless so it is done for this project, but I will keep to see where it goes next.

releasing 723780 at i=713, sz. 107, [COLOR="Red"]2²*3*7[/COLOR]

Done with 712470, 105 digits, 2^3*3^3*5
Edit by mod: By 712470, he of course meant 721470. :smile:

Done with 721536, 103 digits, 2^2*3*7

Done with 721728, 102 digits, 2*3^2

Note that I typed 712470 meaning 721470 above.

Keeping 721980 reserved 105 digits, 2^3
Done with 721992 at 107 digits, 2^2*3*7

Won't reserve new numbers yet as I will be traveling to the end of the month.

721386 is done for the subproject, but I keep it (driverless !)
index 1254 - 102 digits - 2^3

Done 722250, 722688, 727110

Reserving 729000

721764 is done for the subproject, but I keep it (driverless !)
index 1264 - 101 digits - 2^6 * 7

done with 723834
reserving 725160

721518 is done for the subproject, but I keep it to run it further
index 1099, 101 digits, 2^3 * 3 * 7

done with 725160
reserving 725490

done with 725490
reserving 725592

727056 has reached 100 digits, without any driver (2^4 * 3), at index 1767. A few iterations later, the 3 is gone and the sequence is continuing just below 100 digits.

I keep it to run it further.

Done 727536, 727770

Reserving 727812, 727836, 728280

Done with 728610, index 1312, 103 digits, 2^4 * 31

reserving 729480

done with 725592
reserving 725724

done with 725724 - it has 2^4 * 3 * 11^2 * 13 * c97; is this a driver or a guide? [color=blue][b]10metreh:[/b] It's not a driver - technically 2^4 is the guide, but the other factors tend to persist. [/color]

reserving 725940

updates are online.

reserving [strike]725592[/strike] <--mystery worker was here
[strike]726030[/strike] <-- and here too
[strike]728552[/strike] <-- yet another mystery worked sequence


reserving 728490, 728580

[QUOTE=Andi47;197173]reserving [strike]725592[/strike] <--mystery worker was here
[strike]726030[/strike] <-- and here too

728490[/QUOTE]
725592 was me, somebody forgot to remove it from the available sequences.
i don't know about 726030

Could this be the mystery worker who helped us on Subproject #2? If so, then they must know about us because 600-700k hasn't been done. Could you please reveal yourself? There is no particular reason why you shouldn't.

I might ask Syd to find out the IP, and then ask Xyzzy to find out whether they use this forum, and if so, who they are.

And reserving 731328.

reserving 733410, 734850

I'll try 730632

Done with 730632 ...and 732216

Done with 733410 and 734850.

...and 729480 also done
reserving 731280, 730020, 730320

reserving 728676

Taking 730224 731178 733290.

done with 725940
reserving 728760

done with 730020: size 100, 2^3*3^2*5^2

Done with [code]731328 918. 2^6 * 3^3 * 127 c87 sz 101[/code]

done with 730320: size 101, 2^3*3*5

Done with [code]726354 1118. 2^3 * 3 * 13 c95 sz 100[/code]
This sequence was littered with largish composites, which is why it took so long.

Reserving 732036

728490 got stuck at i=386, size 94, cofactor c91 (matrix corrupt, seems that I have got just enough rels to pass the filtering step, but not enough for a matrix), doing (manually started) QS now.

Feature request for aliqueit: an option to force QS (or GNFS *sieving* before proceeding to linalg if possible) for just the next iteration.

Edit: 728580 is at size 110 with 2^2*7, unreserving this one. (Edit2: the cofactor is fully ECMed.)

[QUOTE=Andi47;197358]728490 got stuck at i=386, size 94, cofactor c91 (matrix corrupt, seems that I have got just enough rels to pass the filtering step, but not enough for a matrix), doing (manually started) QS now.

Feature request for aliqueit: an option to force QS (or GNFS *sieving* before proceeding to linalg if possible) for just the next iteration.[/QUOTE]
i've got this error a bunch. i read up on it and what i do is use minrels.txt so it needs a little more relations than it has already. that makes it do more sieving.

done with 728760
reserving 728988

unreserving 728676; i=1505, size 100, 2*3²

reserving 729624

I am releasing 724578 which was already done for this sub-project. It picked up the 2^2*7 driver.

Reserving 733068, 733152, 733452, 733752, 733776, 733800, 733866

done with 733068, 103 digits, 2^2*7

Done with 733152, 102 digits, 2^3*3^2*5

This wins the fastest completion by going from 85 to 100 digits in 20 minutes or so (I ran a little longer).

done with 731280: size 108, 2^2*3^3*7

I almost forgot to mention that I am done with [code]732036 552. 2^4 * 3 * 31 c85 sz 100[/code]

Done and submitted: 727008, 727812, 727836, 728280, 729000

done with 728988 - 1400 lines added! :w00t:
reserving 729894

Done with 731178, 102 digits, 2^2 * 3 * 7

733290 is done for the subproject, but I keep it to run it further (driverless !)
index 984, 101 digits, 2^4 * 3

done with 729894
reserving 729960

Taking 730890, 734784, 734802, 734880, 734970

and 732168, 732360, 732540, 732928

reserving 730260

Done with 733452, 117 digits, 2^3*3. Took a while to gain a driver.

Done with 733752, 106 digits, 2^3*3*5