2LM Table

garo · 2005-08-01, 16:27

Code:

Size	Base	Index	Diff.	SizeRatio	Notes
296	2	2158L	324.8	0.911
236	2	2162M	325.4	0.725
258	2	2162L	325.4	0.792
273	2	2174L	327.2	0.834
309	2	2174M	327.2	0.944
301	2	2194M	330.2	0.911
304	2	2194L	330.2	0.92
243	2	2206L	332.0	0.731
228	2	2222L	334.4	0.681
289	2	2222M	334.4	0.864
253	2	2246L	338.0	0.748
221	2	2246M	338.0	0.65
255	2	2266L	341.0	0.747
234	2	2278M	342.8	0.682
289	2	2278L	342.8	0.842
293	2	2302L	346.4	0.845
287	2	2306L	347.0	0.826
296	2	2318M	348.8	0.848
210	2	2330M	321.4g	0.748	/gnfs(/5q)
291	2	2342M	352.5	0.82
248	2	2350M	282.9	0.876	/5q
271	2	2354M	354.3	0.764
314	2	2354L	354.3	0.886
309	2	2374L	357.3	0.864
305	2	2378L	357.9	0.852
273	2	2390L	287.7	0.948	/5q
326	2	2398M	360.9	0.903
231	2	2402L	361.5	0.637	
340	2	2402M	361.5	0.939	
290	2	2410L	290.1	0.997	/5q
269	2	2414L	363.3	0.738	
249	2	2414M	363.3	0.7	
355	2	2426L	365.1	0.97	
366	2	2426M	365.1	1	
323	2	2434L	366.3	0.88	
324	2	2434M	366.3	0.883	
233	2	2438M	366.9	0.633	
256	2	2438L	366.9	0.696	
359	2	2446L	368.1	0.973	
292	2	2462M	370.5	0.786	
294	2	2474L	372.3	0.788	
292	2	2482L	373.5	0.78	
292	2	2482M	373.5	0.78	
221	2	2494M	375.3	0.587	/gnfs
340	2	2494L	375.3	0.904	
271	2	2498M	375.9	0.719	
318	2	2498L	375.9	0.844	
309	2	2506M	323.3	0.954	/7
293	2	2510M	302.2	0.967	/5q
295	2	2510L	302.2	0.974	/5q
371	2	2518L	378.9	0.977	
312	2	2522L	350.3	0.888	/13
265	2	2534M	326.9	0.809	/7
314	2	2534L	326.9	0.958	/7
264	2	2542M	382.6	0.688	
354	2	2542L	382.6	0.923	
270	2	2546L	383.2	0.7	
334	2	2546M	383.2	0.87	
329	2	2554M	384.4	0.854	
379	2	2554L	384.4	0.984	
344	2	2558L	385	0.892	
364	2	2558M	385	0.944	
221	2	2566L	386.2	0.57	/gnfs
290	2	2570L	309.4	0.935	/5q
337	2	2578L	388	0.867	
327	2	2582L	388.6	0.84	
360	2	2582M	388.6	0.925	
390	2	2594M	390.4	0.997

sean · 2005-08-28, 23:49

2,1946L C140
907147414295234719242629807565546337688011292303997378516999456233 (p66) *
28416491553866318948613972681347473038352581577711630551741160025430993649 (p74)
by GNFS, 10 days

R.D. Silverman · 2005-09-02, 13:38

Quote:

Originally Posted by garo

<snip>

Note that 2,1342M was completed.

geoff · 2005-09-10, 01:58

2,1454M C208 = P55.C153
P55=3326917114154226280619267212241615232568327587322090513
C153=915590890031546358569931229389214648838744985513829148082412712151769633184172734545011876603902387208431039309570077194233060753997862137505018499128349

I found this factor with mprime 23.9 (stage one on 2^1454+1) and gmp-ecm 6.0.1 (stage two on 2,1454L and 2,1454M).

At the moment it makes number 14 on the list of all time largest factors by ECM, and number 8 for 2005. It is my personal best by ECM :-)

sean · 2005-09-11, 20:30

Congratulations. A P55 with ECM is still a very good find.

R.D. Silverman · 2005-09-12, 12:38

Quote:

Originally Posted by sean

Congratulations. A P55 with ECM is still a very good find.

An interesting question becomes:

Is it faster to finish the number using SNFS on 2^727 + 2 364 + 1
or by using GNFS on the C153?

xilman · 2005-09-12, 16:38

Quote:

Originally Posted by R.D. Silverman

An interesting question becomes:

Is it faster to finish the number using SNFS on 2^727 + 2 364 + 1
or by using GNFS on the C153?

To which the answer is "yes".

That answer is not quite as facetious as it sounds. Here is just one reason.

Which GNFS polynomial would you use? In particular, how much time are you prepared to spend searching for it?

The rules of thumb indicate that each algorithm would take a comparable amount of computation. This, presumably, is why Bob asked the question.

Paul

akruppa · 2005-10-05, 09:22

1000 curves at B1=11M, B2=35133391030, polynomial Dickson(12) on 2,1382M. Adds .22322 to p45 and .02971 to p50.

Alex

(Edit: Added to table - Alex)

Mystwalker · 2005-10-07, 00:12

I did 102 curves B1=11000000, B2=25577181640, polynomial Dickson(12) for 2,1378M.

Adds .02222 to p45 and .00295 to p50.

akruppa · 2005-10-12, 07:26

2400 curves at B1=11M on 2,1382M, adds .53573 to p45 and .07132 to p50, and P-1 with B1=1e10,B2=1e14.
4320 curves at B1=11M on 2,1402L, adds .9643 to p45 and .12837 to p50, and P-1 with B1=1e10,B2=1e14.

Alex

(Edit: Added to table - Alex)

trilliwig · 2005-10-13, 00:52

For 2,1402L, 300 curves @B1=11M and 1500 curves @B1=43M with GMP-ECM 6.0.1, no factor found. Could someone tell me how these newfangled probability sums work?

(Edit: Added to table - Alex)

2005-09-10, 01:58	#4
geoff Mar 2003 New Zealand 2205₈ Posts	2,1454M C208 = P55.C153 P55=3326917114154226280619267212241615232568327587322090513 C153=915590890031546358569931229389214648838744985513829148082412712151769633184172734545011876603902387208431039309570077194233060753997862137505018499128349 I found this factor with mprime 23.9 (stage one on 2^1454+1) and gmp-ecm 6.0.1 (stage two on 2,1454L and 2,1454M). At the moment it makes number 14 on the list of all time largest factors by ECM, and number 8 for 2005. It is my personal best by ECM :-) Last fiddled with by geoff on 2005-09-10 at 02:02

2005-10-05, 09:22	#8
akruppa "Nancy" Aug 2002 Alexandria 2,467 Posts	1000 curves at B1=11M, B2=35133391030, polynomial Dickson(12) on 2,1382M. Adds .22322 to p45 and .02971 to p50. Alex (Edit: Added to table - Alex) Last fiddled with by akruppa on 2005-10-17 at 17:34

2005-10-07, 00:12	#9
Mystwalker Jul 2004 Potsdam, Germany 1477₈ Posts	I did 102 curves B1=11000000, B2=25577181640, polynomial Dickson(12) for 2,1378M. Adds .02222 to p45 and .00295 to p50. Last fiddled with by Mystwalker on 2005-10-07 at 00:13

2005-10-12, 07:26	#10
akruppa "Nancy" Aug 2002 Alexandria 2467₁₀ Posts	2400 curves at B1=11M on 2,1382M, adds .53573 to p45 and .07132 to p50, and P-1 with B1=1e10,B2=1e14. 4320 curves at B1=11M on 2,1402L, adds .9643 to p45 and .12837 to p50, and P-1 with B1=1e10,B2=1e14. Alex (Edit: Added to table - Alex) Last fiddled with by akruppa on 2005-10-17 at 17:42

2005-10-13, 00:52	#11
trilliwig Oct 2004 tropical Massachusetts 3·23 Posts	For 2,1402L, 300 curves @B1=11M and 1500 curves @B1=43M with GMP-ECM 6.0.1, no factor found. Could someone tell me how these newfangled probability sums work? (Edit: Added to table - Alex) Last fiddled with by akruppa on 2005-10-17 at 17:53

2005-08-28, 23:49	#2
sean Aug 2004 New Zealand 2·3·37 Posts	2,1946L C140 907147414295234719242629807565546337688011292303997378516999456233 (p66) * 28416491553866318948613972681347473038352581577711630551741160025430993649 (p74) by GNFS, 10 days

2005-09-11, 20:30	#5
sean Aug 2004 New Zealand 2·3·37 Posts	Congratulations. A P55 with ECM is still a very good find.

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
5+ table	garo	Cunningham Tables	100	2021-01-04 22:36
7+ table	garo	Cunningham Tables	86	2021-01-04 22:35
6+ table	garo	Cunningham Tables	80	2021-01-04 22:33
5- table	garo	Cunningham Tables	82	2020-03-15 21:47
6- table	garo	Cunningham Tables	41	2016-08-04 04:24