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[schickel]

Originally Posted by 10metreh

That's because I didn't realise it was the longest single sequence. It would still have been the longest single sequence unless there was a merge (as opposed to side-sequence).

Actually, I was meaning that it's way more exciting to have it be a single sequence than it is to find it merging with something else.

Only 389508/34908 and 314718/4788 are above 195528. (389508 @ 8033 lines and 314718 @ 8867 lines....)

It seems this, as well as the graphs page, have to have a revamp...

Maybe he's waiting until we stop setting records....

The last email I had from Clifford was 5/29, and seeing as the last update on his site was 5/22, I imagine that concerns in real life are taking precedence....

[Andi47]

Originally Posted by Andi47

113454 acquired the downdriver in line 2120 at height 129:

Unfortunately, the downdriver was lost in line 2175 at height 118.

Current status: Line 2200, size 123, 2^3*3*5^3, GNFSing a c120 cofactor.

[mataje]

199152: line 4699, size 129, 2*5, C128
113250: line 901, size 140, 2*3^3*5, C136
153516: line 1537, size 137, 2^2*3*7, C133

[Andi47]

*ouch*

172554, line 1021, size 117, 2^2*3^4*5

 1013 .	 21776849437670172251691979067589240693228357534078353370515410896023291253426608032658630263320821680000646509862644 = 2^2 * 435327676054001 * 3260891986010969 * 94595364961709525714461743724544159 * 40542685100447927411413257744639614122999975601291
 1014 .	 16332637078252728417669264960458367010902887149856920406954007547786199824972015797469267231750294525449613869234956 = 2^2 * 661 * 435706769 * 1045869583476643918711065331 * 13555733468846893189438802309345464459404779302373052984837803958821009539741
 1015 .	 12292718592825346175895845806349430040558134271100976463039031979857133993077671452108566473066791369551647714314964 = 2^2 * 73 * 327889 * 5055507031 * 117889002391 * 45076196703656980733927875036098698659 * 4779175340380401075475721474704930594030521169327
 1016 .	 9514293915632980426593434399432999741224691691653679139008217798646392693377212775824623839014207773653924307547436 = 2^2 * 3^4 * 707979426532077223036736006687 * 41477341822939386323051020539063963717472139832395937157537165339066924372524499397
 1017 .	 15357949746531014700951747502823584594513269643965235911005531339898524145142614303064309429254459912673552330281492 = 2^2 * 3^4 * 3511 * 14123595768140854943 * 955899255580743051693919959537769516446795206819950769637049465471386986154412827588147821
 1018 .	 24802199682261505383743767207816911895442955471980059049218808218363244761967271034019729268496811953463544679777260 = 2^2 * 3^3 * 5 * 47 * 113 * 151 * 11527 * 483677740306099 * 10272373389128291749178322672942498372812818676767040137180535129580340744078684652302273
 1019 .	 55232777262299139691756163142597265480286022889577659877856860757621080362543044260023727397622177430226025968286740 = 2^2 * 3^3 * 5 * 73 * 229 * 1016789 * 5087581 * 18175833448169 * 65074114727967530893963373785709062332978868792651523062406604607099824186475486183
 1020 .	 119717296135797973000298486875230912880565003636992434364457527147262977760546257342357154252419532198652483545953260 = 2^2 * 3^8 * 5 * 11 * 467 * 829 * 12634638559114550101 * 16956255319570658329386711315565213408008328189224874334629766532292551864026290687471

[10metreh]

Originally Posted by Andi47

*ouch*

172554, line 1021, size 117, 2^2*3^4*5

<snip>

It's not a driver! It needs a 2^3 for that!

[Andi47]

Originally Posted by 10metreh

It's not a driver! It needs a 2^3 for that!

Just seen that - I accidentally mismatched it with the 2^3*3*5 driver when I posted before.

[schickel]

Originally Posted by Andi47

Just seen that - I accidentally mismatched it with the 2^3*3*5 driver when I posted before.

Even without it being a driver, the 3 (raised to >=2) and the 5 make it really punishing in terms of growth.

[Andi47]

Originally Posted by schickel

Even without it being a driver, the 3 (raised to >=2) and the 5 make it really punishing in terms of growth.

In line 1027, sequence 172554 is lead-free (i.e. no "3") again: c119 = 2^2*c118, GNFS of the c118 in progress.

[Batalov]

Unfortunately, c118 is 1(mod 4).

It could split to two 1(mod 4) factors, then you will get additional power(s) of 2; or it could split into two -1(mod 4) factors, then you will keep 2^2.

If c118 were -1(mod 4), then you would have definitely kept 2^2. The same is true, if you will split c118 into more than two factors.

[10metreh]

Originally Posted by Batalov

additional power(s) of 2

...and possibly (I think!) the 2^3*3 driver.

[Syd]

162126 changed from 2^3*3^2*5 to 2^3*3^3*5. Is there any chance it will escape this driver within the next 20 lines or so?

4205. 1096024483693876601400058115631956070396081794812041263508332492478524121820635529733044645182670757569419896597263725082334666191141199709429521810520 = 2^3 * 3^2 * 5 * 421 * 499 * 859 * 212804177 * 61480212698518331295701 * 1289515124350419833090160212171440518493802024646335156141021716700595898751205319273847404421183824910194831
4206. 2485836448224528146292274283642771218784596966206731185275552931515781598920041172887576546875270914346865075700644239675140636872165237343759892589480 = 2^3 * 3^2 * 5 * 2305169 * 2980669 * 12377063 * 90520428857 * 896993560050777629631350108604638855428606208910082487211888229385853930893221339713966070500788702598715835135395843
4207. 5593138876506496407021523117980557236233613915675057244474832983843940636052680559693294251403935356083876524410846469041630782242596439170382625874520 = 2^3 * 3^2 * 5 * 1254359009 * 12386004937749613788381100633926684603918450687605021583477570468211280996571268075749326251664347865437843907154154720242170367179935572023
4208. 12584562486631242692965475147862141523219852296853466104566249466317623878925730025298295714285566265636009182486681926714030282729181317735353127526280 = 2^3 * 3^2 * 5 * 23 * 359 * 358807601 * 6772446119 * 162812127549200238904546588736825092502415274723353129319782379 * 10700877478865527279336089334888717192394983098178371447054232889
4209. 30212399565160146846370622894836895924947623351450592773949770597620025374817191668859315614970360361550631241471065149801614379264384274419806270873720 = 2^3 * 3^2 * 5 * 7 * 23 * 417920233 * 8600288701597 * 145027518247966522816715949075933600539555195838517150213744597067835854682055443233342635056987598184460499991070468865978607
4210. 86884105861998213880657195029123685134592822509711865671247049353046345025995442662599265258365186254767117460725875958214647912254918477315802597130120 = 2^3 * 3^2 * 5 * 73 * 82568781253631 * 11917559323442537 * 6375982707877718953538811058633024897361 * 526944223357903133218347471130982583501900872147294556362708855778263710551787
4211. 199357366190204871886353715453158498423411849576158632618664475088324958243244699875365406400426231507894630486305664963718559183826775857270707550781560 = 2^3 * 3^2 * 5 * 127 * 4360397335743763602063729559342924287476199684517905350364489831328192437516288273739400839904335772263662084127420493519653525455528780780199202773
4212. 453655738810781165158710423354037842869023815177242872651921522051385141199194631999847263383647093746311403232616828145784752788393214352371925056652680 = 2^3 * 3^3 * 5 * 167 * 148921 * 2151000491965274165175625598022799506760508885040392899561 * 7852170640407041358514659826496549686437470174918443000687250444838349061616123268673
4213. 1067595277077694587771284781408460444150848441094878713390804283147250194762502529775376552764845293241252237246364803153017277547465058274874195299520120 = 2^3 * 3^3 * 5 * 17 * 37 * 101237422974657383867 * 15523554165721643205653025030093439506197782263042780178702185124910326055443913057779862517100652006068937511535351506439803023