M10 023 049 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	381.7068	67.5676%	410000	447075720	10.4653	5.2534%	392.1721	69.2714%
Target	2⁶⁸	5.9468	64.7059%	65000	12000000	0.3025	2.5688%	6.2493	65.6125%
Difference	+6	+375.7600	+2.8617%	+345000	+435075720	+10.1628	+2.6846%	+385.9228	+3.6589%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
10023049	7677564930882302784477823	25	82.667	382995480261660039 3² × 719 × 1082209 × 54690401	2023-04-12	1082209	54690401	187,384	1.6929	2.3536

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	55000	838750		-		-	-	0.041	-	-	0.971%
2011-12-19	bcp19	acer-Q8200	110000	1952500		-		-	-	0.089	-	-	1.470%
2020-07-28	ViliamF	Manual testing	1000000	30000000		-		-	-	1.091	-	-	3.949%
2022-01-31	mognuts	Strand	410000	447075720		-		-	-	10.47	-	-	5.253%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2023-04-12	JacobZ	Desktop-Neon	2000000	150000000	2	7	7677564930882302784477823	P-1	25	82.667	4.628

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-08-31	ANONYMOUS	v4_computers	2¹	2⁶⁴		-	-	0.355	-	-
2011-10-04	David Campeau	Manual testing	2⁶⁴	2⁶⁵		-	-	0.373	-	-
2015-04-19	Tha	Manual testing	2⁶⁵	2⁶⁶		-	-	0.746	-	-
2015-11-10	VictordeHollander	Manual testing	2⁶⁶	2⁶⁷		-	-	1.491	-	-
2016-04-14	mikr	Manual testing	2⁶⁷	2⁶⁸		-	-	2.982	-	-
2017-09-21	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	5.964	-	-
2020-06-17	ViliamF	Manual testing	2⁶⁹	2⁷⁰		-	-	11.93	-	-
2021-01-08	ViliamF	Manual testing	2⁷⁰	2⁷¹		-	-	23.86	-	-
2021-04-28	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	47.72	-	-
2021-04-28	-Anonymous-	Manual testing	2⁷²	2⁷³		-	-	95.43	-	-
2021-05-06	-Anonymous-	Manual testing	2⁷³	2⁷⁴		-	-	190.9	-	-

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
2015-04-01	Gerard de Groot	i3-2310M	50000	5000000						1	0.444
2016-06-10	arnaud	CHAMOT06	50000	5000000						1	0.444
2019-02-18	Sebastian Hornbostel	NZXT	50000	5000000						1	0.444

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2000-05-31	ANONYMOUS	v4_computers	BE2E3E5A850D95D2	2.923
2003-09-14	ANONYMOUS	v4_computers	BE2E3E5A850D95D2	2.923

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 = 410000, B2 = 447075720 (P-1 stage 2)

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

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

B1 = 2000000 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

B1 = 410000 (P-1 stage 1)

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

B1 = 110000 (P-1 stage 1)

B1 = 55000, B2 = 838750 (P-1 stage 2)

B1 = 55000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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

2⁹⁰

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