M2554247 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	23.3356	67.6471%	3200000	112000000	0.9180	8.0742%	24.2536	70.2593%	2.6122%
PrimeNet	2⁵⁹	0.0301	62.7119%	11000	200000	0.0021	2.6861%	0.0322	63.7135%	1.0016%
GPU72	2⁶³	0.6248	65.0794%	12000	180000	0.0021	1.4785%	0.6270	65.5957%	0.5163%
Difference	+5	+22.7107	+2.5677%	+3188000	+111820000	+0.9159	+6.5957%	+23.6266	+4.6636%	+4.6636%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2554247	5559142929657179356827647	25	82.201	1088215612988324809 4937 × 220420419888257	2020-07-04	4937	220420419888257	721,198	1,207,800	2,255,834

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-23T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.236%
2003-11-08T00:00:00	Team Prime Rib	v4_computers	15000	198750		-		-	-	0.003	-	-	0.756%
2010-12-19T21:44:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.265%
2011-01-03T14:35:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.367%
2011-01-09T14:30:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.531%
2011-04-09T16:12:00	James Heinrich	WHS	175000	4068750		-		-	-	0.039	-	-	3.163%
2016-03-29T17:07:18	mikr	MSI	3200000	112000000	12	-		-	-	0.918	-	-	8.074%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-15T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.030	-	-
2016-02-23T16:29:16	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.030	-	-
2009-01-30T16:00:00	Sturle Sunde	gorky.ifi	2⁶⁰	2⁶¹		-	-	0.060	-	-
2012-06-16T17:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.120	-	-
2013-01-23T08:30:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.384	-	-
2015-02-23T17:24:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.769	-	-
2015-02-23T17:24:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.463	-	-
2015-11-04T20:25:08	omylist	Manual testing	2⁶⁵	2⁶⁶		-	-	2.926	-	-
2017-08-10T07:53:54	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.851	-	-
2019-06-10T09:46:16	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.70	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	3.874 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:	3.874 GHz-days
Estimated T-Level:	2.100

Digits	B1	Complete	FacMiss
20	11000	1.355	25.799%
25	50000	0.122	88.475%
30	250000	0.008	99.249%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		39	3.597
50000	5000000	5559142929657179356827647	3	0.277

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-14T08:28:00	Matthias Eckoldt	serverSP	50000	5000000						3	0.277
2010-05-08T14:43:00	Wolfgang Fluck	C91F72025	50000	5000000						3	0.277
2012-10-09T08:35:00	Bud	annan	50000	5000000						3	0.277
2014-04-11T10:41:00	Andy Incline	Office-PC	50000	5000000						3	0.277
2015-08-11T01:38:00	guru	w1	50000	5000000						3	0.277
2016-03-09T08:46:10	dragon325	Falken-i7-920	50000	5000000						3	0.277
2016-08-01T08:36:06	lettp	Home	50000	5000000						3	0.277
2017-05-21T19:53:05	Bruce	eleven	50000	5000000						3	0.277
2017-10-01T07:44:58	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.277
2018-03-09T09:01:43	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.277
2018-12-03T15:15:34	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.277
2020-06-12T19:43:15	mnd9	50871b	50000	5000000						3	0.277
2020-06-28T09:09:14	Yxinity	Olga	50000	5000000						3	0.277
2020-07-04T12:58:26	GAN	LMS-11	50000	5000000	5559142929657179356827647	82.201	3	2	8752358190299644	3	0.277

date	userid	compid	res64	spent (GHz-days)
1999-04-02T00:00:00	Dry Creek Photo	v4_computers	19698C2F85D7DF7A	0.177
2018-06-12T12:12:01	kkmrkkblmbrbk	old	19698C2F85D7DF7A	0.177

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 = 4068750 (P-1 stage 2)

B1 = 175000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 30000 (P-1 stage 1)

B1 = 15000, B2 = 198750 (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

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

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