M1884193 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	2⁶⁸	31.6342	69.1176%	2149908	235524125	1.1693	8.4483%	32.8035	71.7267%	2.6090%
PrimeNet	2⁵⁷	0.0102	63.1579%	9000	160000	0.0014	3.0333%	0.0115	64.2754%	1.1175%
GPU72	2⁶¹	0.1630	65.5738%	10000	150000	0.0014	1.6922%	0.1644	66.1563%	0.5826%
Difference	+7	+31.4711	+3.5439%	+2139908	+235374125	+1.1679	+6.7561%	+32.6391	+5.5703%	+5.5703%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2012-01-16T02:11:00	markr	tiny	275000	6000000		-		-	-	0.046	-	-	3.540%
2015-10-07T18:35:43	Bruno Victal	5820K-linux	500000	15000000	12	-		-	-	0.101	-	-	4.616%
2016-09-17T03:17:57	Jocelyn Larouche	low 4M	500000	30000000	12	-		-	-	0.166	-	-	5.230%
2016-12-24T02:11:46	Jocelyn Larouche	low 4M	720000	720000		-		-	-	0.057	-	-	2.079%
2016-12-28T01:38:24	Jocelyn Larouche	low 4M	864000	864000		-		-	-	0.068	-	-	2.237%
2017-01-21T06:59:36	Jocelyn Larouche	low 4M	1036800	1036800		-		-	-	0.082	-	-	2.403%
2017-03-01T23:52:29	Jocelyn Larouche	low 4M	1244160	12441600	12	-		-	-	0.146	-	-	4.886%
2017-05-06T15:58:37	Jocelyn Larouche	low 4M	1492992	14929920	12	-		-	-	0.175	-	-	5.149%
2017-05-13T16:12:41	Jocelyn Larouche	low 4M	1791590	17915900	12	-		-	-	0.210	-	-	5.418%
2017-05-29T03:23:26	Jocelyn Larouche	low 4M	2149908	38698344	12	-		-	-	0.326	-	-	6.362%
2018-02-17T20:09:09	Jocelyn Larouche	low 4M	2149908	77396688	12	-		-	-	0.492	-	-	7.157%
2018-03-18T21:10:31	Jocelyn Larouche	low 4M	2149908	214990800	12	-		-	-	1.081	-	-	8.342%
2018-11-26T12:54:01	Jocelyn Larouche	Manual testing	2149908	235524125	12	-		-	-	1.169	-	-	8.448%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-
2016-02-23T16:28:56	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.061	-	-
2010-04-01T14:42:00	Architects Cubed	Manual testing	2⁶⁰	2⁶¹		-	-	0.082	-	-
2016-02-23T16:28:56	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.163	-	-
2011-03-08T05:15:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.847	-	-
2016-02-23T16:28:56	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.521	-	-
2015-05-09T22:18:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.042	-	-
2015-05-09T22:18:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	1.983	-	-
2015-09-13T19:11:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.966	-	-
2018-05-28T14:40:33	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	7.932	-	-
2019-06-24T09:35:59	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	15.86	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.793 GHz-days
Estimated T-Level:	24.482

Digits	B1	Curves	Complete	FacMiss
20	11000	251 / 100	2.510	8.025%
25	50000	251 / 280	0.896	40.737%

New Calculation Method

Total ECM effort:	17.793 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	9.798	0.006%
25	50000	0.906	40.434%
30	250000	0.057	94.441%
35	1000000	0.003	99.733%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		206	14.28
50000	6600000		45	3.518

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-07T08:32:00	Lelikoid	QH	50000	5000000						3	0.208
2009-07-24T01:24:00	James Hintz	02_071509	50000	5000000						3	0.208
2011-03-24T12:51:00	Eric Christenson	CA_Robotics_Bld_2	50000	5000000						3	0.208
2012-09-27T11:48:00	Donna Noble	Opt6128x4x4	50000	5000000						3	0.208
2013-10-11T09:40:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2014-06-25T23:42:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2015-04-09T14:31:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2015-12-10T14:56:03	Sara	Sara	50000	5000000						3	0.208
2016-03-02T20:59:15	Bruce	DESK3	50000	5000000						3	0.208
2016-04-17T08:43:20	Dennis Schreiber	z800	50000	5000000						3	0.208
2016-07-11T09:44:56	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2016-09-30T19:55:57	Bruce	DESK3	50000	5000000						3	0.208
2016-12-04T00:48:27	Bruce	DESK3	50000	5000000						3	0.208
2017-02-14T00:30:43	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2017-09-24T23:15:20	ANONYMOUS	Worker	50000	5000000						3	0.208
2018-01-09T10:01:15	Bruce	DESK3	50000	5000000						3	0.208
2019-08-20T06:10:23	ANONYMOUS	TimeVampireTheFifth	50000	5000000						3	0.208
2019-11-30T20:39:25	penlu	grizzly	50000	5000000						3	0.208
2019-12-08T00:49:12	Alvin Bunk	BADCAT	50000	5000000						3	0.208
2019-12-12T18:34:13	mnd9	75211cornerb	50000	5000000						3	0.208
2019-12-17T14:28:37	Keysarecool	HPLaptop	50000	5000000						3	0.208
2019-12-23T17:53:40	mnd9	touchdown	50000	5000000						3	0.208
2019-12-29T10:07:54	Keysarecool	HPLaptop	50000	5000000						3	0.208
2020-01-02T22:44:02	TheJudger	myECM	50000	5000000						3	0.208
2020-01-08T04:16:45	S04803	lfmcal	50000	5000000						3	0.208
2020-01-09T05:43:42	EricP	Cannonfodder	50000	5000000						3	0.208
2020-01-17T17:11:16	David_McCann	i5	50000	5000000						3	0.208
2020-01-23T01:46:15	Keysarecool	Boat_Anchor	50000	5000000						3	0.208
2020-01-31T06:28:05	Corey	Computer	50000	5000000						3	0.208
2020-02-08T18:46:21	ANONYMOUS		50000	5000000						3	0.208
2020-02-15T22:29:43	EricP	Cannonfodder	50000	5000000						3	0.208
2020-02-23T09:56:50	daveward2005	Davy	50000	5000000						3	0.208
2020-03-01T09:18:15	mnd9	kitchen	50000	5000000						3	0.208
2020-03-07T05:25:27	MarkS	laptop64	50000	5000000						3	0.208
2020-03-15T02:59:26	mnd9	25836b	50000	5000000						3	0.208
2020-03-22T21:06:56	Keysarecool	Boat_Anchor	50000	5000000						3	0.208
2020-04-04T13:49:08	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.208
2020-04-18T09:08:29	Keysarecool	HPLaptop	50000	5000000						3	0.208
2020-04-26T17:23:48	mnd9	221Rb	50000	5000000						3	0.208
2020-05-05T19:06:04	Keysarecool	Boat_Anchor	50000	5000000						3	0.208
2020-05-17T18:11:18	Keysarecool	HPLaptop	50000	5000000						3	0.208
2020-06-05T11:44:03	Brett Walker	brain	50000	5000000						3	0.208
2020-06-22T22:17:21	debrouxl	8rd	50000	5000000						3	0.208
2020-07-02T09:52:02	debrouxl	8rd	50000	5000000						3	0.208
2020-07-09T13:37:54	debrouxl	athlon2	50000	5000000						3	0.208
2020-07-14T21:37:09	GAN	LMS-18	50000	5000000						3	0.208
2020-07-21T03:11:12	GAN	OSB-02	50000	5000000						3	0.208
2020-07-27T22:49:34	mnd9	kitchen	50000	5000000						3	0.208
2020-08-03T21:50:39	GAN	LMS-03	50000	5000000						3	0.208
2020-08-11T20:25:43	GAN	LMS-17	50000	5000000						3	0.208
2020-08-29T19:22:14	daveward2005	Davy	50000	5000000						7	0.485
2020-10-02T16:02:51	daveward2005	Dave2	50000	5000000						7	0.485
2020-11-01T22:36:46	Nesowa	entropy_generator_2	50000	5000000						7	0.485
2020-12-04T08:43:11	daveward2005	Dave2	50000	5000000						7	0.485
2021-01-06T13:49:49	rextherunt	ice	50000	5000000						7	0.485
2021-02-06T16:15:19	daveward2005	MW	50000	5000000						7	0.485
2021-03-05T21:32:28	Zenzoma	AMD3970X	50000	5000000						7	0.485
2021-04-11T13:44:57	C.D.B.	i7-6850K	50000	5000000						7	0.485
2021-10-20T13:19:04	TJAOI	Manual testing	50000	6600000						45	3.518

date	userid	compid	res64	spent (GHz-days)
1998-12-13T00:00:00	ANONYMOUS	v4_computers	A618B629E1DD5668	0.102
1999-09-30T00:00:00	ANONYMOUS	v4_computers	A618B629E1DD5668	0.102
2015-07-04T19:28:00	MadPoo	Manual testing	A618B629E1DD5668	0.102

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 2149908, B2 = 235524125 (P-1 stage 2)

B1 = 2149908, B2 = 214990800 (P-1 stage 2)

B1 = 2149908, B2 = 77396688 (P-1 stage 2)

B1 = 2149908, B2 = 38698344 (P-1 stage 2)

B1 = 1791590, B2 = 17915900 (P-1 stage 2)

B1 = 1492992, B2 = 14929920 (P-1 stage 2)

B1 = 2149908 (P-1 stage 1)

B1 = 500000, B2 = 30000000 (P-1 stage 2)

B1 = 1244160, B2 = 12441600 (P-1 stage 2)

B1 = 1791590 (P-1 stage 1)

B1 = 1492992 (P-1 stage 1)

B1 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 1244160 (P-1 stage 1)

B1 = 1036800 (P-1 stage 1)

B1 = 864000 (P-1 stage 1)

B1 = 720000 (P-1 stage 1)

B1 = 275000, B2 = 6000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 275000 (P-1 stage 1)

10⁴

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10⁹

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