M10 297 873 Mersenne number exponent details

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	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷²	92.8671	66.6667%	8000000	25524610650	662.2880	13.6969%	755.1551	71.2323%
Target	2⁶⁸	5.7881	64.7059%	70000	8000000	0.2378	2.6590%	6.0259	65.6443%
Difference	+4	+87.0790	+1.9608%	+7930000	+25516610650	+662.0502	+11.0379%	+749.1292	+5.5879%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2000-05-17	Gimps-fr	v4_computers	120000	1470000		-		-	-	0.092	-	-	1.787%
2000-07-25	ANONYMOUS	v4_computers	145000	145000		-		-	-	0.069	-	-	0.757%
2000-10-22	ANONYMOUS	v4_computers	120000	1950000		-		-	-	0.104	-	-	1.923%
2012-02-01	James Heinrich	i7-920	195000	4631250		-		-	-	0.207	-	-	2.592%
2023-06-05	mikr	Nitron	8000000	25524610650		-		-	-	662.3	-	-	13.697%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-09-30	ANONYMOUS	v4_computers	2¹	2⁶⁴		-	-	0.346	-	-
2013-09-20	Nesowa	Manual testing	2⁶⁴	2⁶⁵		-	-	0.363	-	-
2015-04-28	Tha	Manual testing	2⁶⁵	2⁶⁶		-	-	0.726	-	-
2015-12-02	VictordeHollander	Manual testing	2⁶⁶	2⁶⁷		-	-	1.451	-	-
2017-09-26	-Anonymous-	Manual testing	2⁶⁷	2⁶⁸		-	-	2.903	-	-
2017-12-12	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	5.805	-	-
2020-08-03	ViliamF	Manual testing	2⁶⁹	2⁷⁰		-	-	11.61	-	-
2021-10-01	mikr	Manual testing	2⁷⁰	2⁷¹		-	-	23.22	-	-
2022-09-29	Architects Cubed	GPU72_TF	2⁷¹	2⁷²		-	-	46.44	-	-

ECM factoring results:

Total ECM effort:	0.993 GHz-days
Estimated T-Level:	0.385

Digits	B1	Complete	FacMiss
20	11000	0.077	92.596%
25	50000	0.007	99.291%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		2	0.993

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2015-05-07	taffa	xenor	50000	5000000						1	0.497
2016-09-22	Vainlich Ondrej	Intel_P4_Dual_CPU	50000	5000000						1	0.497

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2000-12-31	ANONYMOUS	v4_computers	A1DEEB1F90D74A39	3.364
2003-11-08	ANONYMOUS	v4_computers	A1DEEB1F90D74A39	3.364

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 = 8000000, B2 = 25524610650 (P-1 stage 2)

B1 = 8000000 (P-1 stage 1)

B1 = 195000, B2 = 4631250 (P-1 stage 2)

B1 = 120000, B2 = 1950000 (P-1 stage 2)

B1 = 195000 (P-1 stage 1)

B1 = 120000, B2 = 1470000 (P-1 stage 2)

B1 = 145000 (P-1 stage 1)

B1 = 120000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

this exponent TF target: 68

TF double-checked to: 67.9

ECM T-Level=0.38 ~= -15-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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