M6 960 193 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	137.4004	68.0556%	4000000	456818670	9.0652	8.0826%	146.4656	70.6375%
Target	2⁶⁷	4.2691	65.6716%	45000	900000	0.0290	2.2384%	4.2981	66.4401%
Difference	+5	+133.1313	+2.3839%	+3955000	+455918670	+9.0362	+5.8442%	+142.1675	+4.1974%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2000-08-17	ANONYMOUS	v4_computers	85000	1126250		-		-	-	0.045	-	-	1.448%
2001-10-20	willmore	v4_computers	35000	463750		-		-	-	0.018	-	-	0.880%
2013-08-05	Nesowa	Outback	435000	11310000		-		-	-	0.325	-	-	3.388%
2021-11-05	Seth_Tr	Manual testing	2000000	58000000	12	-		-	-	1.597	-	-	5.521%
2021-12-04	Seth_Tr	Manual testing	4000000	456818670		-		-	-	9.065	-	-	8.083%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-07-11	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.088	-	-
2007-09-28	Richard B. Woods	v4_computers	2¹	2⁶⁴		-	-	0.511	-	-
2008-02-03	Richard B. Woods	v4_computers	2¹	2⁶⁵		-	-	1.048	-	-
2014-01-17	lycorn	Manual testing	2⁶⁵	2⁶⁶		-	-	1.074	-	-
2014-03-30	ramgeis	Manual testing	2⁶⁶	2⁶⁷		-	-	2.147	-	-
2014-03-30	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	4.295	-	-
2014-03-30	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	8.589	-	-
2014-03-30	ramgeis	Manual testing	2⁶⁹	2⁷⁰		-	-	17.18	-	-
2016-01-06	ramgeis	Manual testing	2⁷⁰	2⁷¹		-	-	34.36	-	-
2021-09-25	SRBase	Manual testing	2⁷¹	2⁷²		-	-	68.71	-	-

ECM factoring results:

Total ECM effort:	1.989 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	1.989

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2012-09-07	FreeTibet	J7	50000	5000000						3	0.995
2017-04-28	Bruce	Desk8	50000	5000000						3	0.995

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Kevin D. Quitt		A874F04BF67C9FAE	1.518
1999-12-15	ANONYMOUS	v4_computers	41BD5F776CA1DF__	1.518
2000-06-23	ANONYMOUS	v4_computers	41BD5F776CA1DF__	1.518
2001-06-17	ANONYMOUS	v4_computers	A874F04BF67C9FAE	1.518
2001-11-03	willmore	v4_computers	A874F04BF67C9FAE	1.518

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 = 4000000, B2 = 456818670 (P-1 stage 2)

B1 = 2000000, B2 = 58000000 (P-1 stage 2)

B1 = 4000000 (P-1 stage 1)

B1 = 2000000 (P-1 stage 1)

B1 = 435000, B2 = 11310000 (P-1 stage 2)

B1 = 435000 (P-1 stage 1)

B1 = 85000, B2 = 1126250 (P-1 stage 2)

B1 = 85000 (P-1 stage 1)

B1 = 35000, B2 = 463750 (P-1 stage 2)

B1 = 35000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶²

this exponent TF target: 67

TF double-checked to: 67.7

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