By using wildly different WUs (more than an order of magnitude and a half more CPU time and data than the ones we've always been feeding clients), RSALS [i]might[/i] be able to work that way. That could require a new subproject and possibly more administration work.
But aren't the OP integers selected by wblipp of higher priority than the smallest integers in t1200.txt ?

[QUOTE=debrouxl;220204]But aren't the OP integers selected by wblipp of higher priority than the smallest integers in t1200.txt ?[/QUOTE]

The priority distinctions among these numbers are small. I make choices by looking at the interests of other projects and matching available resources. Currently I am providing RSALS with composites that also meet the requirements of Richard Brent's list. Many of these are also of interest to Hisanori Mishima's factorizations of cyclotomic numbers. These numbers of RSALS size are sufficient for one or two more years. By then there may well be more; if not, t1200 has many numbers of the form sigma(p^6) and sigma(p^12) that are also exceptionally well suited to RSALS as presently configured.

The smallest integers in t1200 are well suited to individual work. I like having tasks of different complexity that appeal to different people. RSALS has decided their niche will be tasks somewhat larger than this but well below the limits of what is achievable. This is an underserved range - factorizations of great interest happened, but factorizations of modest interest languished with middling ECM waiting for individual computer power to grow into their range. I'd be disappointed to see RSALS retargeted, wiping out a cache of factorization opportunities for individuals and leaving the mid sized once more bereft of resources.

William

[quote]I make choices by looking at the interests of other projects and matching available resources. [...][/quote]
Then in our current setup, we'll happily stick to that :smile:

If the number of attached clients grows by an order of magnitude, we'll have to find something to keep them busy... but we're not there.

from t600. Factored by yoyo@home at the 45 digit level

[code]
sigma(5419^52)
P44: 85983752792583605176436063411041555122601981
P82: 1610894007727356776393908973900113321717187707592175569683409683273808742340749737[/code]

A second one today from t600 by yoyo@home for 45 digits

[code]sigma(5419^58)
P47: 31020271763532727031221765666768654256399262407
P155: 27717270447823117430757813295399349895948507276544999762910234271693644442414393251574423728384298362215009009067958742621140986128318854312575485053375493[/code]

From t600. ECM to t50 by yoyo@home, NFS Sieving by RSALS

[code]sigma(191^100)
P64: 1565312325935582919715520516379514465454715975530730702997861601
P155: 15579603776348984623838656265407586013937869253269862321147660934603382936385363706676355108175242727281684620316825197660022856406154987270149725900702819[/code]

A busy weekend for results from t600.

ECM to t50 by yoyo@home
NFS sieving by RSALS
Post processing by Michael Rao and friends of RSALS

[code]

sigma(179^100)
P53: 44157924850223680046068173435611519495256334264128643
P61: 2697465850443613818135349195235374985405296465546627254585989
P107: 21109110074590782126444523035741258545345249516021236418097365046895079172120538450219933982835529222182617

sigma(911^70)
P90: 103673815416617458427873245745143574373283642649949581597091471540014488462317876642233471
P119: 14161012005468667472403822893212392868453869903587894490114271864548151423809941665461995738859636848155266790278491951

sigma(911^78)
P91: 6788793801259500917832750817093104637732886771741946950016366448979935834358074961456483243
P119: 78742981464623767545576907960732355220856642390234084246542133242051070061061973433055467093545889380055254164714343043[/code]

[quote=wblipp;220256] Currently I am providing RSALS with composites that also meet the requirements of Richard Brent's list. [/quote]

Where can I find that list?

Thank you in advance.

[QUOTE=em99010pepe;220848]Where can I find that list?[/QUOTE]

Richard Brent keeps several lists, all accessed from his factors page at

[url]http://wwwmaths.anu.edu.au/~brent/factors.html[/url]

I was referring to factors.gz, which lists factors of a^n+1 and a^n-1 for a and n both less than 10,000.

Another t600 number that is also on Brent's list.

ECM to t50 by yoyo@home
SNFS sieving by RSALS
Post Processing by Carlos Pinho

[code]
sigma(127^100)

P83: 77528227247273171825986132641928018681541528260745489586826581596060293439615571539
P100: 1408375142354810965888426306347591380859406766875454846081781047120247945346540843188493755915529991[/code]

Another t600 number that is also on Brent's list.

ECM to t50 by yoyo@home
SNFS sieving by RSALS
Post Processing by Carlos Pinho

[code]
sigma(191^96)

P60: 218073027195930290270634252762267983872702225798878424421921
P141: 228968533265840250754055903086647262868777172852691742473406675979711354902941248744114074917957671456868838345599165122926969286002106204541[/code]