M2061287 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	28.9163	69.1176%	2500000	125000000	0.8746	7.8837%	29.7910	71.5523%	2.4347%
PrimeNet	2⁵⁸	0.0186	63.7931%	9000	160000	0.0016	2.6684%	0.0203	64.7592%	0.9661%
GPU72	2⁶²	0.2980	66.1290%	9000	130000	0.0015	1.3652%	0.2995	66.5914%	0.4624%
Difference	+6	+28.6183	+2.9886%	+2491000	+124870000	+0.8732	+6.5185%	+29.4914	+4.9609%	+4.9609%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2061287	951846986940559395047	21	69.689	230886574004629 83 × 2917 × 953639339	2020-02-22	2917	953639339	101.47	4.9537	9.2516

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-02-24T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.222%
2009-06-21T23:19:00	harlee	T7500_2200	20000	260000		-		-	-	0.003	-	-	0.874%
2010-12-26T02:29:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.350%
2011-01-06T01:06:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.508%
2011-01-21T08:26:00	James Heinrich	i7-920	135000	2902500		-		-	-	0.027	-	-	2.717%
2014-10-26T01:00:00	Jocelyn Larouche	Manual testing	166138	166138		-		-	-	0.016	-	-	1.058%
2016-06-26T03:50:55	Jocelyn Larouche	Manual testing	182751	5805000	12	-		-	-	0.047	-	-	3.336%
2016-09-29T01:45:03	Jocelyn Larouche	low 4M	182751	13932000	12	-		-	-	0.089	-	-	3.954%
2016-11-04T00:18:42	Jocelyn Larouche	low 4M	219301	219301		-		-	-	0.021	-	-	1.224%
2016-11-04T12:39:35	Jocelyn Larouche	low 4M	263161	263161		-		-	-	0.025	-	-	1.341%
2016-11-07T03:11:24	Jocelyn Larouche	low 4M	315793	315793		-		-	-	0.030	-	-	1.465%
2017-02-20T01:26:55	mikr	MSI	2500000	125000000	12	-		-	-	0.875	-	-	7.884%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-10T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.019	-	-
2016-02-23T16:29:04	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.056	-	-
2009-01-02T19:45:00	Sturle Sunde	gouffy.ifi	2⁶⁰	2⁶¹		-	-	0.075	-	-
2012-03-12T21:47:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.149	-	-
2013-09-01T20:20:00	ramgeis	Manual testing	2⁶²	2⁶³		-	-	0.476	-	-
2015-04-21T09:19:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.952	-	-
2015-04-21T09:19:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.813	-	-
2015-11-03T10:10:01	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.625	-	-
2016-08-29T15:06:16	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	7.251	-	-
2019-03-25T04:48:54	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	14.50	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	5.858 GHz-days
Estimated T-Level:	3.450

Digits	B1	Curves	Complete	FacMiss
20	11000	69 / 100	0.690	49.984%
25	50000	69 / 280	0.246	78.124%

New Calculation Method

Total ECM effort:	5.858 GHz-days
Estimated T-Level:	3.450

Digits	B1	Complete	FacMiss
20	11000	2.226	10.798%
25	50000	0.201	81.778%
30	250000	0.012	98.769%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		66	5.603
50000	5000000	951846986940559395047	3	0.255

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-09T06:09:00	mognuts	hallowes	50000	5000000						3	0.255
2009-10-27T06:30:00	SubPrime	mysql0	50000	5000000						3	0.255
2011-04-20T17:39:00	Beat Bucheli	I7	50000	5000000						3	0.255
2013-03-11T06:16:00	Donna Noble	opt4820	50000	5000000						3	0.255
2014-05-28T08:51:00	arnaud	SPR05	50000	5000000						3	0.255
2015-07-16T08:56:00	guru	w6	50000	5000000						3	0.255
2016-02-19T14:45:29	Bruce	Desk8	50000	5000000						3	0.255
2016-05-08T22:45:48	Bruce	Desk6	50000	5000000						3	0.255
2016-07-19T15:49:34	Bruce	test	50000	5000000						3	0.255
2016-12-21T13:51:37	Bruce	Desk6	50000	5000000						3	0.255
2017-07-06T12:01:07	Bruce	Desk6	50000	5000000						3	0.255
2017-12-07T04:14:48	Bruce	Desk6	50000	5000000						3	0.255
2018-04-19T18:19:54	Bruce	Desk6	50000	5000000						3	0.255
2018-10-07T15:40:31	storm5510	7700_Kaby_Lake	50000	5000000						3	0.255
2019-12-29T06:25:09	Keysarecool	Boat_Anchor	50000	5000000						3	0.255
2020-01-02T22:51:25	MarkS	desktop-i7	50000	5000000						3	0.255
2020-01-08T19:17:24	EricP	Cannonfodder	50000	5000000						3	0.255
2020-01-20T02:12:58	Nesowa	entropy_generator_2	50000	5000000						3	0.255
2020-01-23T02:07:34	IEFBR14	MK1	50000	5000000						3	0.255
2020-01-29T12:09:40	IanGlencross	glenx24	50000	5000000						3	0.255
2020-02-08T11:45:15	Brett Walker	brain	50000	5000000						3	0.255
2020-02-15T22:16:14	mnd9	75201b	50000	5000000						3	0.255
2020-02-23T02:39:50	mnd9	50871	50000	5000000	951846986940559395047	69.689	3	2	4247771963390208	3	0.255

date	userid	compid	res64	spent (GHz-days)
1998-05-01T00:00:00	ANONYMOUS	v4_computers	380AC892E9C578AE	0.136
1999-02-14T00:00:00	ANONYMOUS	v4_computers	380AC892E9C578AE	0.136

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 = 2500000, B2 = 125000000 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

B1 = 182751, B2 = 13932000 (P-1 stage 2)

B1 = 182751, B2 = 5805000 (P-1 stage 2)

B1 = 315793 (P-1 stage 1)

B1 = 135000, B2 = 2902500 (P-1 stage 2)

B1 = 263161 (P-1 stage 1)

B1 = 219301 (P-1 stage 1)

B1 = 182751 (P-1 stage 1)

B1 = 166138 (P-1 stage 1)

B1 = 135000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 20000, B2 = 260000 (P-1 stage 2)

B1 = 30000 (P-1 stage 1)

B1 = 20000 (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

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