M10 297 687 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	92.8688	66.6667%	8000000	25524610650	662.2880	13.6969%	755.1568	71.2323%
Target	2⁶⁸	5.7882	64.7059%	70000	8000000	0.2378	2.6590%	6.0260	65.6443%
Difference	+4	+87.0806	+1.9608%	+7930000	+25516610650	+662.0502	+11.0379%	+749.1308	+5.5879%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
10297687	7987923767294858268332199504469534631724863	43	142.519	387850386562286184670994540058827513 13 × 3011 × 5869 × 39541 × 47387 × 130807 × 1286821 × 5352911	2023-06-04	1286821	5352911	1.505e+10	0.7145	1.2405

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-23	ANONYMOUS	v4_computers	55000	632500		-		-	-	0.041	-	-	1.181%
2013-05-26	Nesowa	EPC	125000	2531250		-		-	-	0.121	-	-	2.068%
2023-06-04	mikr	Nitron	8000000	8000000			7987923767294858268332199504469534631724863	43	142.519	3.789	6.728	7.579	3.953%
2023-06-05	mikr	Nitron	8000000	25524610650		-	skipped known factor: 7987923767294858268332199504469534631724863	-	-	662.3	-	-	13.697%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-09-14	Data	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	-	-
2022-10-02	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	Gordon Spence	haswell	50000	5000000						1	0.497
2016-09-26	lexatref	cks_tel	50000	5000000						1	0.497

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2000-08-24	schaz	v4_computers	3D9E6E5C178984BD	3.364
2003-10-23	ANONYMOUS	v4_computers	3D9E6E5C178984BD	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 = 125000, B2 = 2531250 (P-1 stage 2)

B1 = 125000 (P-1 stage 1)

B1 = 55000, B2 = 632500 (P-1 stage 2)

B1 = 55000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

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

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

2¹⁵⁰

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