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-   Aliquot Sequences (https://www.mersenneforum.org/forumdisplay.php?f=90)

 mklasson 2009-03-13 07:22

Current status:

131814:
[code]
1080 . 81507884612152872448620040801782920430189836722312854231271720082230294272244182270354161488921351320694 = 2 * 229 * 84921220489122124738380549629743288904897099 * 2095645970920174603421648263298828028763301469033870060157
1081 . 41287836746767393904104474816623662750663848868652012908025008813287521425144338335796260226360470521306 = 2 * 20643918373383696952052237408311831375331924434326006454012504406643760712572169167898130113180235260653
1082 . 20643918373383696952052237408311831375331924434326006454012504406643760712572169167898130113180235260656 = 2^4 * 7 * 17 * 409 * 26509521035862855899884219309640020976726290340148659435306065735555773346258769554634857144372721
1083 . 27874867407293936430151856140963720617111601197827675990862069345199837896684481221776770826736495452624 = 2^4 * 1187 * 43748473 * 107242318427 * 312833328420696241660659232183669221553068697920703648022839949354100788833108757
[/code]
I've been enjoying the downdriver for a while, but that's officially over now, isn't it? :cry:

162126:
[code]
2024 . 18770101389218059711026444296824754276801719602201840981483043062099002846122520153364524911064679041806135215836600084216760 = 2^3 * 3^2 * 5 * 13 * 421 * 9526616211512099656407436657137439489210528250909434690238465122773921902532898955155878814719064824190539017721643667
2025 . 47081299446589717469938064554505796950837567458254498993933713713958543956069789268296765572646795886335579068701780740719720 = 2^3 * 3^2 * 5 * 13 * 156416890451 * 64315987169609797405332854272527850564579421239835698393734328780447426419825582654809658030051464920393178279
2026 . 117703248617527789544683369867763844530077924837884058404742793024585728195598202015498656975502771914371190669712600777613080 = 2^3 * 3^2 * 5 * 13 * 71 * 2617 * 74047 * 2478029 * 192906349 * 1486233826763346437972824665749106151983866759 * 2572959851624925094278452367962043703810289692445701
[/code]
And that one's a lot worse... 126 digits at 2026 and rapidly increasing. I've had that 2^3 * 3^2 * 5 * 13 for 14 lines now.

 schickel 2009-03-15 07:51

I need a couple of volunteers

I have three sequences that need extending. Two were left off by Wolfgang at the downdriver and have been extended to the loss of the downdriver, but it would be nice to get them back above 100 digits.

The third one just had its guide change to 2^5 * 3^2 and could possibly have its guide change, depending on how the current line factors.

The three are:[code][strike] 18330 755. 2^5 * 3^2 c109, size 120
158360 2043. 2^2 * 3 * 7 c88, size 93
159414 2063. 2 * 3 c90, size 91[/strike][/code]Obviously, 18330 would be better handled by someone with the horsepower to tackle some possibly largish nfs jobs......

[b]Edit:[/b] Both snapped up.....thanks frmky & 10metreh!

 10metreh 2009-03-15 08:02

[quote=schickel;165421]I have three sequences that need extending. Two were left off by Wolfgang at the downdriver and have been extended to the loss of the downdriver, but it would be nice to get them back above 100 digits.

The third one just had its guide change to 2^5 * 3^2 and could possibly have its guide change, depending on how the current line factors.

The three are:[code] 18330 755. 2^5 * 3^2 c109, size 120
158360 2043. 2^2 * 3 * 7 c88, size 93
159414 2063. 2 * 3 c90, size 91[/code]Obviously, 18330 would be better handled by someone with the horsepower to tackle some possibly largish nfs jobs......[/quote]

I'll take 158360 and 159414 and they will take priority over the current C96. Could you post a .alq for both of them? (Just the current number would be fine for starters.)

 kar_bon 2009-03-20 10:18

i give 10116 a try (the first open seq. >10000)!

found the last info for this sequence:
index at 1130 with C101 = 2^4 * 3 * C99

now at n=1137
[url]http://factorization.ath.cx/search.php?aq=10116[/url]

hope there're no others worked/working on that...

DejaVu:

the same things happens when i begun to search for Riesel-primes 2 years ago:
there are many information about them on different pages, some current, some old not updated for years, some projects searching independently, work done twice because of unknown status,...

so i decided to collect all those information available on [b]one[/b] page for everyone...
and the results can be found on [url]www.rieselprime.de[/url]!

perhaps there's someone compiling these info for aliquot sequences too!

 schickel 2009-03-20 12:05

[QUOTE=kar_bon;166086]DejaVu:

the same things happens when i begun to search for Riesel-primes 2 years ago:
there are many information about them on different pages, some current, some old not updated for years, some projects searching independently, work done twice because of unknown status,...

so i decided to collect all those information available on [b]one[/b] page for everyone...
and the results can be found on [url]www.rieselprime.de[/url]!

perhaps there's someone compiling these info for aliquot sequences too![/QUOTE]Well, this is our just-getting-organized attempt at bringing everything together. I'm focusing mainly on the 100k range because there is no organized effort to work it, and it's just been completed (within the last year) to 100 digits, so there's plenty to look at. If you look at this [url="http://www.mersenneforum.org/showthread.php?t=11625"]thread[/url], you can see who's doing what in the ranges from 1-1,000,000.....

 kar_bon 2009-03-20 12:06

ok, started at index 4497 (currently at 4508 with 2 * 3^2) so officially reserved by me!

i think, others will come along with those different information found on the net and start unnecessary work. best would be a page with all current info for all seqs!

 schickel 2009-03-29 08:17

Special request

As a special request, can I ask everyone to make sure that when you retire a sequence, I notice it. In exchange for the sequence files from Clifford, I need to make sure that he gets a copy of all our work. He's got some research tools that he goes spelunking in the sequence files with, and they're not set up to go digging into Syd's database. Thank you.

 Joshua2 2009-03-29 19:28

[QUOTE=axn;167073]He's using his own definition of "sum of divisors"[/QUOTE]

I think I forgot to add the one term each time, since I added the factors, but not 1, I correctly ignored the number itself though. Is there anything else I did wrong? I got that original number to be factored from r103920.txt. Was that factor known already and not updated?

 mklasson 2009-03-29 19:42

[QUOTE=Joshua2;167155]I think I forgot to add the one term each time, since I added the factors, but not 1, I correctly ignored the number itself though. Is there anything else I did wrong?[/QUOTE]

I suspect so. Just adding up the prime factors isn't enough if that's what you did. You may want to read [url]http://en.wikipedia.org/wiki/Divisor_function[/url].

 Andi47 2009-03-29 19:50

[QUOTE=Joshua2;167155]I think I forgot to add the one term each time, since I added the factors, but not 1, I correctly ignored the number itself though. Is there anything else I did wrong? I got that original number to be factored from r103920.txt. Was that factor known already and not updated?[/QUOTE]

Have you added only the prime factors, or ALL factors? (Example: if 2 and 3 are factors of your composite, you have to add 6 too.) The size of your "next lines" suggest that you forgot to add the composite factors.

Edit: Mclasson was faster.

 10metreh 2009-03-30 18:10

Downdriver on 130396!!!

So, after 166 lines of my working on this sequence, this happened:

[code]2044 . 2394998956505870217435041596226162328518968627154757266409556367320584476891039099577309016005364 = 2^2 * 598749739126467554358760399056540582129742156788689316602389091830146119222759774894327254001341
2045 . 1796249217379402663076281197169621746389226470366067949807167275490438357668279324682981762004030 = 2 * 5 * C96[/code]

:party::wblipp:

Seems I'll have to change my "location" field again...

Edit: It's down to 93 digits...

P.S. I think there a lot of updates needed on the reservations thread.

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