[quote=Syd;176739]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?

[code]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
[/code][/quote]

With 2^3*3^3*5, it can't escape. The power of 3 or 5 must change to an even number.

[QUOTE=Syd;176739]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?[/QUOTE]

There's always a chance, but I wouldn't bet too much on it. Then again, I don't have much in the way of cold hard facts to lean on. :smile: The 2^3*3*5s I've caught have been annoyingly persistent though.

Your best bet was line 4207. Basically 2^3*3^2*5*p*q, where both p and q are 1 (mod 4).

The good news is, 3^3 should drop back to 3^2 pretty soon.

[URL="http://factorization.ath.cx/search.php?query=&se=1&aq=232956&action=last&fr=&to="]232956[/URL] went up to 103 digits when it hit the down driver. It has gotten down to 94 digits so far. Not sure how far it will go.

current line is (92 digit bit is factoring):
[URL="http://factorization.ath.cx/search.php?id=39477466"][COLOR=#002099]2133049582...[/COLOR][/URL]<94> = [URL="http://factorization.ath.cx/search.php?id=16882"][COLOR=#000000]2[/COLOR][/URL] · [URL="http://factorization.ath.cx/search.php?id=13"][COLOR=#000000]11[/COLOR][/URL] · [URL="http://factorization.ath.cx/search.php?id=39477467"][COLOR=#002099]9695679922...[/COLOR][/URL]<92>

[URL="http://factorization.ath.cx/search.php?query=&se=1&aq=199152&action=last&fr=&to="]199152[/URL]: line 4731, size 123, 2*, C113 :smile:

[quote=Greebley;176833][URL="http://factorization.ath.cx/search.php?query=&se=1&aq=232956&action=last&fr=&to="]232956[/URL] went up to 103 digits when it hit the down driver. It has gotten down to 94 digits so far. Not sure how far it will go.

current line is (92 digit bit is factoring):
[URL="http://factorization.ath.cx/search.php?id=39477466"][COLOR=#002099]2133049582...[/COLOR][/URL]<94> = [URL="http://factorization.ath.cx/search.php?id=16882"][COLOR=#000000]2[/COLOR][/URL] · [URL="http://factorization.ath.cx/search.php?id=13"][COLOR=#000000]11[/COLOR][/URL] · [URL="http://factorization.ath.cx/search.php?id=39477467"][COLOR=#002099]9695679922...[/COLOR][/URL]<92>[/quote]

Let's hope it leads to something like [URL="http://factorization.ath.cx/aliquot.php?type=1&aq=133596&big=1"]this[/URL], but not something like [URL="http://factorization.ath.cx/aliquot.php?type=1&aq=130396&big=1"]this[/URL].

At odds of 1 in 180, it hit 2 *a prime at 78 digits and now is heading back up. Very sad. 2^3*3 has got it in its grip now.

[quote=Greebley;176907]At odds of 1 in 180, it hit 2 *a prime at 78 digits and now is heading back up. Very sad. 2^3*3 has got it in its grip now.[/quote]

Don't expect them to go too far; the two examples I've chosen were outsiders. In fact none of the multiple downdrivers in 130396 (the second linked graph in my post above) dropped the sequence further than 28 digits. It needed 7 downdriver runs for the drop from 101 to 23 digits.

2^2 * 7
 

:cry: :sick: :yucky:

For a couple of minutes it looked like it might make it!

a scientific estimate
 

961 little piggies went to the market, only one came back.
So the chances are about 1/961! :rolleyes:

Trust me, this is as scientific as it gets.

...this one cried wee wee wee, all the way home!
 

Darn title slot, it's not wide enough....:grin:
[QUOTE=Batalov;177169]961 little piggies went to the market, only one came back.
So the chances are about 1/961! :rolleyes:

Trust me, this is as scientific as it gets.[/QUOTE]

[strike]So the chances are about 1/961![/strike]

Better make that
[color="blue"]So the chances are about [b]2[/b]/961![/color]

:party::party::party:

:george:

I'm running a prime check on everything right now. Results in a bit.....