M10 010 311 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	2⁷⁴	382.1925	67.5676%	5000000	150000000	5.4556	6.1658%	387.6481	69.5673%
Target	2⁶⁸	5.9543	64.7059%	65000	12000000	0.3025	2.5683%	6.2568	65.6123%
Difference	+6	+376.2381	+2.8617%	+4935000	+138000000	+5.1531	+3.5975%	+381.3913	+3.9550%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
10010311	234792210343080798690071	24	77.636	11727518273062685 5 × 2345503654612537	2023-03-20	5	2345503654612537	3,934.6	54,044,313	100,939,727

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-08-31	ANONYMOUS	v4_computers	50000	650000		-		-	-	0.035	-	-	0.876%
2012-01-27	bcp19	Dell-Q6600	110000	1952500		-		-	-	0.089	-	-	1.469%
2019-12-01	harlee	i5-5250U_1600	570000	18810000	12	-		-	-	0.661	-	-	3.343%
2020-09-12	ViliamF	Manual testing	1000000	30000000		-		-	-	1.091	-	-	3.949%
2020-10-02	ViliamF	Manual testing	5000000	150000000		-		-	-	5.456	-	-	6.166%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2023-03-20	JacobZ	Desktop-Neon	2000000	150000000	2	7	234792210343080798690071	P+1	24	77.636	4.628

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-08-16	ANONYMOUS	v4_computers	2¹	2⁶⁴		-	-	0.356	-	-
2011-09-13	David Campeau	Manual testing	2⁶⁴	2⁶⁵		-	-	0.373	-	-
2015-04-19	Tha	Manual testing	2⁶⁵	2⁶⁶		-	-	0.747	-	-
2015-11-05	VictordeHollander	Manual testing	2⁶⁶	2⁶⁷		-	-	1.493	-	-
2016-03-09	mikr	Manual testing	2⁶⁷	2⁶⁸		-	-	2.986	-	-
2017-09-21	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	5.972	-	-
2017-12-05	Yxinity	Manual testing	2⁶⁹	2⁷⁰		-	-	11.94	-	-
2021-01-06	ViliamF	Manual testing	2⁷⁰	2⁷¹		-	-	23.89	-	-
2021-04-27	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	47.78	-	-
2021-04-30	-Anonymous-	Manual testing	2⁷²	2⁷³		-	-	95.55	-	-
2021-05-19	-Anonymous-	Manual testing	2⁷³	2⁷⁴		-	-	191.1	-	-

ECM factoring results:

Total ECM effort:	1.331 GHz-days
Estimated T-Level:	0.577

Digits	B1	Complete	FacMiss
20	11000	0.115	89.102%
25	50000	0.011	98.938%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		3	1.331

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2015-03-29	taffa	xenor	50000	5000000						1	0.444
2016-06-12	Bruce	test	50000	5000000						1	0.444
2019-01-28	arnaud	snd-15-157	50000	5000000						1	0.444

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2000-05-05	ANONYMOUS	v4_computers	F5C789F303C44384	2.920
2003-09-21	ANONYMOUS	v4_computers	F5C789F303C44384	2.920

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 = 5000000, B2 = 150000000 (P-1 stage 2)

B1 = 2000000, B2 = 150000000 (P+1 stage 2)

B1 = 5000000 (P-1 stage 1)

B1 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 2000000 (P+1 stage 1)

B1 = 570000, B2 = 18810000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 570000 (P-1 stage 1)

B1 = 110000, B2 = 1952500 (P-1 stage 2)

B1 = 110000 (P-1 stage 1)

B1 = 50000, B2 = 650000 (P-1 stage 2)

B1 = 50000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

this exponent TF target: 68

TF double-checked to: 67.8

ECM T-Level=0.58 ~= -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