M52691 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	unknown	100000000	2000000000	0.2910	47.2912%	0.2910	47.2912%	47.2912%
PrimeNet	2⁴⁰	0.0000	60.0000%	550	10000	0.0000	4.8846%	0.0000	61.9538%	1.9538%
GPU72	2⁴⁴	0.0000	63.6364%	500	10000	0.0000	2.0708%	0.0000	64.3894%	0.7530%
Difference	-44	0.0000	-63.6364%	+99999500	+1999990000	+0.2910	+45.2203%	+0.2910	-17.0982%	-17.0982%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
52691	7692887	7	22.875	73 73	2011-02-03	1	73	1.077e-11	7.039e-9	1.109e-8
52691	1161863158357938373632119057073502087	37	119.806	11025252494334311112259390190673 3⁴ × 19 × 1493 × 1561963151549 × 3071986709851	2020-10-18	1561963151549	3071986709851	3.379e+12	2,351.0	4,545.3

exponent	prime factors	composite factor	digits	bits*
52691	7692887 1161863158357938373632119057073502087	8938081986710725461315671476613002249555169	43	142.681

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-09-25T03:26:36	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 7692887	-	-	0.291	-	-	39.590%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-04-27T18:13:40	ATH	colab-Pp1	15000000	1500000000	2	7			-	-	0.146
2021-11-12T12:59:25	fbaur	ubuntu	50000000	4000000000	6	5			-	-	0.410

ECM factoring results:

Old Calculation Method

Total ECM effort:	15.803 GHz-days
Estimated T-Level:	31.924

Digits	B1	Curves	Complete	FacMiss
20	11000	1473 / 100	14.730	0.000%
25	50000	1473 / 280	5.261	0.514%
30	250000	1192 / 640	1.862	15.506%
35	1000000	608 / 1580	0.385	68.050%

New Calculation Method

Total ECM effort:	15.803 GHz-days
Estimated T-Level:	31.924

Digits	B1	Complete	FacMiss
20	11000	144.588	0.000%
25	50000	25.227	0.000%
30	250000	3.512	2.983%
35	1000000	0.396	67.269%
40	3000000	0.037	96.342%
45	11000000	0.003	99.696%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	0.289
250000	25000000		584	3.004
1000000	100000000		546	11.23
1000000	100000000	1161863158357938373632119057073502087	62	1.276

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-06-04T21:13:00	Matthias Wurtinger	WUR_E6600	50000	5000000						30	0.031
2010-04-29T03:49:00	James Hintz	05_122109	50000	5000000						11	0.011
2010-04-29T21:16:00	James Hintz	05_122109	50000	5000000						11	0.011
2010-04-30T14:42:00	James Hintz	05_122109	50000	5000000						11	0.011
2010-05-01T08:18:00	James Hintz	05_122109	50000	5000000						11	0.011
2010-05-02T01:45:00	James Hintz	05_122109	50000	5000000						11	0.011
2010-05-02T19:10:00	James Hintz	05_122109	50000	5000000						11	0.011
2010-05-03T12:47:00	James Hintz	05_122109	50000	5000000						11	0.011
2010-05-04T06:18:00	James Hintz	05_122109	50000	5000000						11	0.011
2010-05-04T23:45:00	James Hintz	05_122109	50000	5000000						11	0.011
2010-05-05T17:22:00	James Hintz	05_122109	50000	5000000						11	0.011
2010-05-06T10:35:00	James Hintz	05_122109	50000	5000000						11	0.011
2010-05-07T03:49:00	James Hintz	05_122109	50000	5000000						11	0.011
2010-05-07T21:16:00	James Hintz	05_122109	50000	5000000						11	0.011
2010-05-08T15:04:00	James Hintz	05_122109	50000	5000000						11	0.011
2010-05-09T09:57:00	James Hintz	05_122109	50000	5000000						11	0.011
2010-05-10T04:57:00	James Hintz	05_122109	50000	5000000						11	0.011
2011-02-06T15:59:00	James Hintz	lappy_010411	50000	5000000						11	0.011
2011-03-15T19:31:00	James Hintz	OMFG	50000	5000000						11	0.011
2014-04-11T13:26:00	TJAOI	Manual testing	50000	5000000						53	0.055
2014-08-20T21:35:00	James Hintz	08_04_2014	250000	25000000						11	0.057
2016-09-02T12:13:23	TJAOI	Manual testing	250000	25000000						33	0.170
2016-12-16T15:29:34	kkmrkkblmbrbk	x116xl	250000	25000000						540	2.778
2018-10-09T02:50:32	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-10-10T07:21:56	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-10-11T11:04:27	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2018-10-13T01:07:57	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2018-10-14T21:05:39	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-10-16T19:31:03	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2018-10-18T18:22:44	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-10-20T18:13:27	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2018-10-22T17:40:28	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-10-24T17:51:41	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-10-26T17:48:28	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.062
2018-10-28T02:23:47	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-10-29T08:27:04	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.062
2018-10-30T17:02:11	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-11-01T10:08:10	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062
2018-11-03T09:43:23	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.062