M7 987 897 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷³	239.4678	68.4932%	3000000	8070112050	167.5424	10.2998%	407.0103	71.7383%
Target	2⁶⁷	3.7199	65.6716%	55000	6000000	0.1435	2.5662%	3.8633	66.5526%
Difference	+6	+235.7480	+2.8215%	+2945000	+8064112050	+167.3990	+7.7336%	+403.1469	+5.1857%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-12-02	ANONYMOUS	v4_computers	40000	40000		-		-	-	0.015	-	-	0.258%
2003-03-07	dswanson	v4_computers	45000	663750		-		-	-	0.030	-	-	0.942%
2012-08-05	Squeeky_Squirrel	T7500_2200	65000	861250		-		-	-	0.041	-	-	1.128%
2012-08-05	Squeeky_Squirrel	T7500_2200	155000	3371250		-		-	-	0.125	-	-	1.979%
2016-04-12	mikr	S053	5000000	125000000	12	-		-	-	4.368	-	-	6.345%
2023-08-01	Tha	Z-170	3000000	8070112050		-		-	-	167.5	-	-	10.300%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-10-18	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.077	-	-
1998-10-29	ANONYMOUS	v4_computers	2¹	2⁶³		-	-	0.200	-	-
2012-02-22	Never Odd Or Even	Manual testing	2⁶³	2⁶⁴		-	-	0.246	-	-
2012-02-22	Never Odd Or Even	Manual testing	2⁶⁴	2⁶⁵		-	-	0.468	-	-
2012-02-22	Never Odd Or Even	Manual testing	2⁶⁵	2⁶⁶		-	-	0.936	-	-
2012-03-20	Never Odd Or Even	Manual testing	2⁶⁶	2⁶⁷		-	-	1.871	-	-
2012-03-20	Never Odd Or Even	Manual testing	2⁶⁷	2⁶⁸		-	-	3.742	-	-
2013-03-16	Never Odd Or Even	Manual testing	2⁶⁸	2⁶⁹		-	-	7.484	-	-
2013-03-16	Never Odd Or Even	Manual testing	2⁶⁹	2⁷⁰		-	-	14.97	-	-
2013-03-16	Never Odd Or Even	Manual testing	2⁷⁰	2⁷¹		-	-	29.94	-	-
2013-07-25	Never Odd Or Even	Manual testing	2⁷¹	2⁷²		-	-	59.87	-	-
2013-07-25	Never Odd Or Even	Manual testing	2⁷²	2⁷³		-	-	119.7	-	-

ECM factoring results:

Total ECM effort:	2.382 GHz-days
Estimated T-Level:	1.154

Digits	B1	Complete	FacMiss
20	11000	0.231	79.392%
25	50000	0.021	97.887%
30	250000	0.001	99.865%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		6	2.382

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2013-02-07	sannerud.com	Jarrett2012	50000	5000000						3	1.191
2018-11-21	Ondrej Vainlich	Intel_Core_i3_CAD	50000	5000000						3	1.191

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-08-31	ANONYMOUS	v4_computers	CB7F39D613F70C66	2.086
2002-09-14	ANONYMOUS	v4_computers	2429D089EBF28D27	2.086
2003-03-16	dswanson	v4_computers	CB7F39D613F70C66	2.086

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 = 3000000, B2 = 8070112050 (P-1 stage 2)

B1 = 5000000, B2 = 125000000 (P-1 stage 2)

B1 = 5000000 (P-1 stage 1)

B1 = 3000000 (P-1 stage 1)

B1 = 155000, B2 = 3371250 (P-1 stage 2)

B1 = 155000 (P-1 stage 1)

B1 = 65000, B2 = 861250 (P-1 stage 2)

B1 = 45000, B2 = 663750 (P-1 stage 2)

B1 = 65000 (P-1 stage 1)

B1 = 45000 (P-1 stage 1)

B1 = 40000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

this exponent TF target: 67

TF double-checked to: 67.9

ECM T-Level=1.15 ~= -13-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