M2477689 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	2⁶⁹	48.1847	68.1159%	2382500	85770100	0.6965	6.9421%	48.8813	70.3294%	2.2134%
PrimeNet	2⁵⁹	0.0310	62.7119%	10000	180000	0.0019	2.5336%	0.0329	63.6566%	0.9447%
GPU72	2⁶³	0.6442	65.0794%	11000	160000	0.0019	1.3796%	0.6461	65.5611%	0.4818%
Difference	+6	+47.5406	+3.0366%	+2371500	+85610100	+0.6946	+5.5626%	+48.2352	+4.7683%	+4.7683%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2003-10-14T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.189%
2003-10-31T00:00:00	Team Prime Rib	v4_computers	15000	228750		-		-	-	0.003	-	-	0.670%
2010-11-20T12:24:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.220%
2011-01-21T01:07:00	Oscar Östlin		95000	1947500		-		-	-	0.020	-	-	2.107%
2014-09-02T00:10:00	Jocelyn Larouche	Manual testing	120905	120905		-		-	-	0.012	-	-	0.797%
2014-10-23T23:00:00	mikr	MSI	2382500	85770100		-		-	-	0.697	-	-	6.942%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-02-08T00:00:00	S00030	v4_computers	2¹	2⁵⁸		-	-	0.015	-	-
1999-05-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.031	-	-
2016-02-23T16:29:15	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.031	-	-
2009-01-14T05:40:00	Sturle Sunde	hindemith.ifi	2⁶⁰	2⁶¹		-	-	0.062	-	-
2012-06-08T23:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.124	-	-
2013-01-23T08:29:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.396	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.792	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.508	-	-
2015-10-28T09:42:40	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.016	-	-
2017-07-22T20:28:36	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.032	-	-
2019-05-27T13:36:57	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.06	-	-
2021-06-03T11:39:49	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	24.13	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	16.620 GHz-days
Estimated T-Level:	22.857

Digits	B1	Curves	Complete	FacMiss
20	11000	160 / 100	1.600	20.028%
25	50000	160 / 280	0.571	56.414%

New Calculation Method

Total ECM effort:	16.620 GHz-days
Estimated T-Level:	22.857

Digits	B1	Complete	FacMiss
20	11000	6.375	0.170%
25	50000	0.584	55.780%
30	250000	0.037	96.406%
35	1000000	0.002	99.830%

ECM Summary

B1	B2	curves	GHz-days
50000	50000	35	1.873
50000	5000000	153	14.05
50000	6050000	7	0.700

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-11T04:54:00	Smurgs	Praca	50000	5000000						3	0.275
2010-03-22T13:48:00	James Classen	towerofart	50000	5000000						3	0.275
2012-06-04T14:42:00	Jacques MOLNE	Crazy_64	50000	5000000						3	0.275
2014-02-01T15:02:00	Andy Incline	Office-PC	50000	5000000						3	0.275
2015-07-18T00:56:00	guru	w6	50000	5000000						3	0.275
2016-02-25T00:43:15	arnaud	CHAMOT09	50000	5000000						3	0.275
2016-06-22T11:42:36	Jason U	Server7	50000	5000000						3	0.275
2017-02-25T02:03:50	Bruce	eleven	50000	5000000						3	0.275
2017-10-07T11:42:54	Lelikoid	QH	50000	5000000						3	0.275
2017-12-23T06:20:02	Angel Pescador		50000	5000000						3	0.275
2018-07-20T17:42:46	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.275
2019-09-26T19:05:30	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.275
2020-05-09T14:57:41	Greg Hogan	azure4	50000	5000000						3	0.275
2020-05-23T20:16:47	mnd9	75203	50000	5000000						3	0.275
2020-06-12T03:14:06	mnd9	25836b	50000	5000000						3	0.275
2020-06-27T00:58:24	GAN	PG-HP	50000	5000000						3	0.275
2020-07-04T18:26:42	lycorn	colab_A	50000	5000000						3	0.275
2020-07-11T00:29:26	GAN	LMS-04	50000	5000000						3	0.275
2020-07-17T11:20:50	daveward2005	MW	50000	5000000						3	0.275
2020-07-24T19:24:29	clww2	h-cpu-235	50000	5000000						3	0.275
2020-07-29T18:23:17	-Anonymous-	aws	50000	5000000						3	0.275
2020-08-06T07:37:40	GAN	LMS-02	50000	5000000						3	0.275
2020-08-14T13:15:05	MarkS	desktop-i7	50000	5000000						3	0.275
2020-09-10T02:23:44	clww2	h-cpu-235	50000	5000000						7	0.643
2020-10-09T12:24:37	daveward2005	Dave2	50000	5000000						7	0.643
2020-11-06T01:12:30	Albrecht Heeffer	R7-3800X	50000	5000000						7	0.643
2020-12-12T00:20:54	Zenzoma	AMD3970X	50000	5000000						7	0.643
2021-01-13T04:57:51	Zenzoma	AMD3970X	50000	5000000						7	0.643
2021-02-12T09:15:04	Zenzoma	AM3700X_1	50000	5000000						7	0.643
2021-03-13T06:35:54	Zenzoma	AM3700X_1	50000	5000000						7	0.643
2021-04-19T16:20:19	Zenzoma	AMD3970X	50000	5000000						7	0.643
2021-06-11T15:18:12	daveward2005	Dave2	50000	5000000						7	0.643
2021-07-22T11:12:56	daveward2005	d12436	50000	5000000						7	0.643
2021-09-15T21:28:49	DRobinsonPE	J4105	50000	6050000						7	0.700
2021-12-20T20:03:04	daveward2005	MW	50000	5000000						7	0.643
2022-06-06T21:09:31	tottenhoff		50000	50000						7	0.375
2022-06-07T16:34:07	tottenhoff		50000	50000						7	0.375
2022-06-08T11:44:07	tottenhoff		50000	50000						7	0.375
2022-06-09T05:43:11	tottenhoff		50000	50000						7	0.375
2022-06-09T23:50:58	tottenhoff		50000	50000						7	0.375
2022-06-11T03:15:18	EthanD	LexxBuntu	50000	5000000						7	0.643

date	userid	compid	res64	spent (GHz-days)
1998-07-21T00:00:00	ANONYMOUS	v4_computers	1366728B099457A7	0.172
1999-01-29T00:00:00	ANONYMOUS	v4_computers	1366728B099457A7	0.172
1999-05-30T00:00:00	ANONYMOUS	v4_computers	1366728B099457A7	0.172

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 = 2382500, B2 = 85770100 (P-1 stage 2)

B1 = 2382500 (P-1 stage 1)

B1 = 95000, B2 = 1947500 (P-1 stage 2)

B1 = 120905 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

B1 = 15000, B2 = 228750 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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