M9 365 947 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	2⁷¹	51.0443	66.1972%	2000000	4771857090	104.9500	10.9979%	155.9943	69.9148%
Target	2⁶⁸	6.3640	64.7059%	60000	1400000	0.0533	2.4584%	6.4173	65.5736%
Difference	+3	+44.6803	+1.4913%	+1940000	+4770457090	+104.8967	+8.5395%	+149.5770	+4.3412%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-04-27	ANONYMOUS	v4_computers	50000	812500		-		-	-	0.037	-	-	1.392%
2012-08-31	James Heinrich	i7-920	175000	3850000		-		-	-	0.150	-	-	2.691%
2022-12-24	Tha	Z-170	2000000	4771857090		-		-	-	105.0	-	-	10.998%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-11-14	ANONYMOUS	v4_computers	2¹	2⁵⁵		-	-	0.001	-	-
1999-03-15	ANONYMOUS	v4_computers	2¹	2⁶⁴		-	-	0.380	-	-
2013-09-05	Nesowa	Manual testing	2⁶⁴	2⁶⁵		-	-	0.399	-	-
2015-05-08	VictordeHollander	Manual testing	2⁶⁵	2⁶⁶		-	-	0.798	-	-
2016-05-17	snme2pm1	Manual testing	2⁶⁶	2⁶⁷		-	-	1.596	-	-
2017-04-27	snme2pm1	Manual testing	2⁶⁷	2⁶⁸		-	-	3.191	-	-
2019-09-09	mnd9	Manual testing	2⁶⁸	2⁶⁹		-	-	6.383	-	-
2020-12-13	-Anonymous-	Manual testing	2⁶⁹	2⁷⁰		-	-	12.77	-	-
2020-12-13	-Anonymous-	Manual testing	2⁷⁰	2⁷¹		-	-	25.53	-	-

ECM factoring results:

Total ECM effort:	1.261 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	1.261

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-07-31	kutens	print-server1	50000	5000000						3	1.261

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2000-07-03	twmoss	v4_computers	094E1B2F73D4C90C	2.589
2003-05-04	ANONYMOUS	v4_computers	094E1B2F73D4C90C	2.589

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 = 2000000, B2 = 4771857090 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 175000, B2 = 3850000 (P-1 stage 2)

B1 = 175000 (P-1 stage 1)

B1 = 50000, B2 = 812500 (P-1 stage 2)

B1 = 50000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁵

this exponent TF target: 68

TF double-checked to: 67.7

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