[QUOTE=R.D. Silverman;184815]A number of the missing/unreported factors were done by Kay Schoenberger.[/QUOTE]Thanks. Does anyone have an email address so I can chase them?


Paul

Tom is vacationing. (By checking his last post.)

[QUOTE=xilman;184827]Thanks. Does anyone have an email address so I can chase them?


Paul[/QUOTE]

[url]http://primes.utm.edu/bios/page.php?id=298[/url] gives [email]kay_sbg@web.de[/email]

7,2,289- c111:

[code]Tue Aug 11 08:12:02 2009 prp48 factor: 254986416290234657889085429561400127382591048099
Tue Aug 11 08:12:02 2009 prp64 factor: 3111629902688417802503918166147291330102864569825165664024633487[/code]

per GNFS

As promised, I've sent Paul all the Aurifeuillian factorizations I've found. There are 44 of them, and they should be exhaustive; that is, with the current table limits, all numbers which admit an Aurifeuillian split should now be completely factored.

In case anyone's interested, here's a summary showing the relevant prime sizes.

3+2,510 C109 = P48 * P61
5+2,310 C126 = P42 * P85
5-4,355 C132 = P63 * P70
7+2,238 C144 = P70 * P74
7+2,266 C171 = P74 * P93
7+4,259 C134 = P41 * P93
7+4,273 C104 = P52 * P52
7+4,287 C153 = P37 * P57 * P61
7+5,245 C120 = P56 * P65
8+3,270 C107 = P45 * P63
8+5,230 C120 = P59 * P62
8+5,250 C142 = P55 * P87
8+7,238 C131 = P66 * P66
8+7,266 C132 = P61 * P72
9+2,202 C135 = P43 * P93
9+2,206 C177 = P41 * P57 * P80
9+2,214 C177 = P89 * P89
9+2,218 C113 = P48 * P65
9+2,222 C112 = P47 * P66
9+2,226 C161 = P72 * P89
9+2,230 C110 = P53 * P58
9+2,234 C126 = P57 * P69
9+2,238 C141 = P42 * P45 * P56
9+2,242 C168 = P73 * P95
9+2,246 C117 = P47 * P71
9+2,250 C157 = P74 * P83
9+2,254 C206 = P109 * P40 * P58
9-5,245 C127 = P46 * P81
9+7,259 C201 = P99 * P103 (!)
9+8,202 C102 = P42 * P61
9+8,206 C127 = P50 * P77
9+8,214 C159 = P65 * P94
9+8,218 C181 = P81 * P100
9+8,226 C147 = P63 * P85
9+8,238 C122 = P53 * P70
9+8,242 C174 = P40 * P42 * P92
9+8,246 C107 = P47 * P61
9+8,254 C186 = P90 * P96
9+8,258 C120 = P49 * P71
10+9,230 C153 = P66 * P88
10+9,250 C161 = P69 * P38 * P54
11-3,231 C110 = P48 * P62
11+9,209 C186 = P93 * P93 (!)
12+5,225 C105 = P49 * P57

[QUOTE=jyb;185147]As promised, I've sent Paul all the Aurifeuillian factorizations I've found. There are 44 of them, and they should be exhaustive; that is, with the current table limits, all numbers which admit an Aurifeuillian split should now be completely factored.[/QUOTE]Received, thanks.

They will be in the next update which, given its likely size, will probably be within a week or so.


Paul

[quote=xilman;184827]Thanks. Does anyone have an email address so I can chase them?
[/quote]
Yamato
(he makes great ecm binaries, too)

The update is completed and ready to go. Unfortunately, the website's ftp service appears to be down :sad:

When the tables have been uploaded, which I'll do as soon as I can, there will be 127 new factorizations and the number of composites will have fallen to 1183.


Paul

[QUOTE=xilman;185929]The update is completed and ready to go. Unfortunately, the website's ftp service appears to be down :sad:

When the tables have been uploaded, which I'll do as soon as I can, there will be 127 new factorizations and the number of composites will have fallen to 1183.


Paul[/QUOTE]

AT a minimum the following numbers seem to be missing from
the update. They were removed from the reservations page,
but apparently Paul did not receive them.

Doesn't Tom's web page save the reported factors as composites
get removed?


12,11,179+, 179-

12,7, 179+

12,5,178+, 179+

11,9,172+

11,5, 173-

11,3,184+.

There may be others missing as well.

Bob's list, with my comments:

[I]12,11,179+, 179-[/I]

Sent to Paul on August 9th -- see my post from 9th August, which Bob has already quoted in its entirety above.

[I]12,7, 179+[/I]

Sent to Paul on August 11th.

[I]12,5,178+,179+[/I]

I sent 178+ to Paul on August 9th. No idea about 179+, but I did send 179- to Paul on August 9th -- see my list above.

[I]11,9,172+
11,5, 173-[/I]

No idea about these two.


[I]11,3,184+.[/I]

Sent to Paul on August 9th -- see my list above.


So, from this list, the only ones I'm not aware of are

11,9,172+
11,5,173-
12,5,179+

Since August 9th, I have also factored:

[CODE]12^179+7^179
1025069673208835229682462689808898822579196392772541913382857
67373118756515983446041266216196745231225987038938943112451887031428563059197336083793770383553685263332831690023102457291

11^193+3^193
3124871464008503030382255673611348411961936644608106418847363
39901072626062053441367591460629063497728992662171677289397399062620357238771004648419702899883508871531079065550315471

11^193+5^193
753984833879370235501101123167494842452632450680973846409
43480007677052471420826905394964176459158265458725834707636860993655340534154738568552864075197502199934610415185[/CODE]

I noted 12,7,179+ already, but give it again here for clarity.

[quote=FactorEyes;185957]So, from this list, the only ones I'm not aware of are

11,9,172+
11,5,173-
12,5,179+

[/quote]

Looks like I did 11,5,173-, and reported the results by email on 5/14/2009.

[CODE]
Wed May 13 23:12:21 2009 prp63 factor: 100604616462824364093446700696577438069712495129081841761772319
Wed May 13 23:12:21 2009 prp103 factor: 2610140796205604623999367206294839683825581577353370162371691909906641997280126212973269476821556423271
[/CODE]