M2550949 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	23.3658	67.6471%	3200000	112000000	0.9180	8.0731%	24.2838	70.2590%	2.6119%
PrimeNet	2⁵⁹	0.0301	62.7119%	11000	200000	0.0021	2.6854%	0.0322	63.7132%	1.0014%
GPU72	2⁶³	0.6257	65.0794%	12000	180000	0.0021	1.4781%	0.6278	65.5955%	0.5162%
Difference	+5	+22.7401	+2.5677%	+3188000	+111820000	+0.9159	+6.5950%	+23.6560	+4.6634%	+4.6634%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2550949	71083254314093285855263	23	75.912	13932707849920419 3 × 7 × 151 × 4393789924289	2020-07-10	151	4393789924289	5,713.0	24,076	44,967

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%
2011-01-09T14:30:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.531%
2011-04-08T08:05:00	James Heinrich	WHS	175000	4068750		-		-	-	0.039	-	-	3.162%
2016-03-16T03:17:19	mikr	MSI	3200000	112000000	12	-		-	-	0.918	-	-	8.073%

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	-	-
2009-01-31T20:55:00	Sturle Sunde	gopher.ifi	2⁶⁰	2⁶¹		-	-	0.060	-	-
2012-06-16T13:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.120	-	-
2013-01-14T11:53:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.385	-	-
2015-02-23T17:24:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.770	-	-
2015-02-23T17:24:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.465	-	-
2015-11-02T23:17:14	omylist	Manual testing	2⁶⁵	2⁶⁶		-	-	2.929	-	-
2017-08-10T07:53:53	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.859	-	-
2019-07-31T09:42:04	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.72	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	4.057 GHz-days
Estimated T-Level:	2.200

Digits	B1	Curves	Complete	FacMiss
20	11000	44 / 100	0.440	64.261%
25	50000	44 / 280	0.157	85.434%

New Calculation Method

Total ECM effort:	4.057 GHz-days
Estimated T-Level:	2.200

Digits	B1	Complete	FacMiss
20	11000	1.692	18.409%
25	50000	0.157	85.506%
30	250000	0.010	99.017%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		42	3.873
50000	5000000	71083254314093285855263	2	0.184

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-16T04:02:00	alan145	Bear4	50000	5000000						3	0.277
2010-05-05T11:07:00	SubPrime	abd0	50000	5000000						3	0.277
2012-10-06T01:06:00	Bud	annan	50000	5000000						3	0.277
2014-04-08T07:34:00	Andy Incline	Office-PC	50000	5000000						3	0.277
2015-08-09T17:24:00	guru	w6	50000	5000000						3	0.277
2016-03-11T22:11:16	Hartmut Birr	C7CE7B89E	50000	5000000						3	0.277
2016-07-20T05:04:52	lettp	Home	50000	5000000						3	0.277
2017-05-21T00:10:06	Bruce	eleven	50000	5000000						3	0.277
2017-10-02T06:50:35	Sebastian Hornbostel	V2	50000	5000000						3	0.277
2018-03-05T19:49:35	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.277
2019-01-07T20:26:31	TSRPrime	TSRJVRLaptop	50000	5000000						3	0.277
2020-06-10T19:09:06	mnd9	50871b	50000	5000000						3	0.277
2020-06-26T15:00:23	LaurV	3tits	50000	5000000						3	0.277
2020-07-04T05:57:21	LaurV	3tits	50000	5000000						3	0.277
2020-07-10T14:24:25	debrouxl	8rd	50000	5000000	71083254314093285855263	75.912	2	2		2	0.184

date	userid	compid	res64	spent (GHz-days)
1999-09-22T00:00:00	HPS_AP	v4_computers	9CB1841F7E04D129	0.177
2018-06-12T00:59:50	kkmrkkblmbrbk	old	9CB1841F7E04D129	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 = 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)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

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