M2597867 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	22.9438	67.6471%	3200000	112000000	0.9180	8.0876%	23.8618	70.2636%	2.6166%
PrimeNet	2⁵⁹	0.0296	62.7119%	11000	200000	0.0021	2.6945%	0.0317	63.7166%	1.0047%
GPU72	2⁶³	0.6144	65.0794%	12000	200000	0.0022	1.5301%	0.6166	65.6137%	0.5343%
Difference	+5	+22.3294	+2.5677%	+3188000	+111800000	+0.9158	+6.5575%	+23.2452	+4.6500%	+4.6500%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2597867	689510887114240903639	21	69.224	132707118400257 3 × 44235706133419	2020-07-15	3	44235706133419	56.087	242,391	452,718

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-31T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.238%
2003-11-08T00:00:00	Team Prime Rib	v4_computers	15000	217500		-		-	-	0.003	-	-	0.781%
2010-11-16T23:08:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.266%
2011-01-15T02:57:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.533%
2011-04-18T19:33:00	James Heinrich	WHS	175000	4156250		-		-	-	0.039	-	-	3.185%
2016-08-29T16:52:53	mikr	MSI	3200000	112000000	12	-		-	-	0.918	-	-	8.088%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-26T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.030	-	-
2016-02-23T16:29:17	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.030	-	-
2009-01-30T01:17:00	Sturle Sunde	nouchcraft.ifi	2⁶⁰	2⁶¹		-	-	0.059	-	-
2012-06-23T11:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.118	-	-
2013-09-08T16:47:00	Axelsson	Manual testing	2⁶²	2⁶³		-	-	0.378	-	-
2015-02-27T20:35:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.756	-	-
2015-02-27T20:35:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.438	-	-
2015-11-08T21:03:03	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.876	-	-
2017-08-21T17:34:51	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.753	-	-
2019-03-18T11:45:38	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.51	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	3.884 GHz-days
Estimated T-Level:	2.100

Digits	B1	Curves	Complete	FacMiss
20	11000	42 / 100	0.420	65.566%
25	50000	42 / 280	0.150	86.048%

New Calculation Method

Total ECM effort:	3.884 GHz-days
Estimated T-Level:	2.100

Digits	B1	Complete	FacMiss
20	11000	1.615	19.881%
25	50000	0.149	86.117%
30	250000	0.009	99.062%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		39	3.606
50000	5000000	689510887114240903639	3	0.277

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-21T07:56:00	paulie	iMac3.4	50000	5000000						3	0.277
2010-06-03T04:07:00	Conductor	home	50000	5000000						3	0.277
2012-11-14T19:29:00	Donna Noble	PH2x6	50000	5000000						3	0.277
2014-07-27T23:41:00	arnaud	SPR05	50000	5000000						3	0.277
2015-09-29T18:54:05	Syntony	Hadfield	50000	5000000						3	0.277
2016-03-30T06:20:04	Dave Matthews	VMW7-001	50000	5000000						3	0.277
2016-08-10T19:48:25	lettp	Home	50000	5000000						3	0.277
2017-06-05T08:09:10	Bruce	eleven	50000	5000000						3	0.277
2017-10-14T16:51:13	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.277
2018-08-27T06:10:24	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.277
2019-02-18T11:02:10	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.277
2020-07-02T23:49:06	Sergey Nosov	TS140-02	50000	5000000						3	0.277
2020-07-09T10:06:34	mnd9	office2	50000	5000000						3	0.277
2020-07-15T14:18:42	mnd9	25836b	50000	5000000	689510887114240903639	69.224	3	2	981811062554048	3	0.277

date	userid	compid	res64	spent (GHz-days)
1999-07-26T00:00:00	ANONYMOUS	v4_computers	FBD9B8B62039FC03	0.180
2018-06-25T07:23:51	kkmrkkblmbrbk	old	FBD9B8B62039FC03	0.180

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 = 3200000, B2 = 112000000 (P-1 stage 2)

B1 = 3200000 (P-1 stage 1)

B1 = 175000, B2 = 4156250 (P-1 stage 2)

B1 = 175000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 15000, B2 = 217500 (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)

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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