M6 902 881 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	2⁶⁷	4.3046	65.6716%	85000	1487500	0.0510	2.8740%	4.3556	66.6582%
Target	2⁶⁷	4.3046	65.6716%	45000	900000	0.0290	2.2354%	4.3335	66.4390%
Difference	-	-	-	+40000	+587500	+0.0221	+0.6386%	+0.0221	+0.2192%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
6902881	29076986451095225177	20	64.657	2106148610348 2² × 131 × 1129 × 3560113	2014-02-17	1129	3560113	0.8329	0.0617	0.1145

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-08-24	ANONYMOUS	v4_computers	35000	472500		-		-	-	0.019	-	-	1.778%
2012-08-10	Nesowa	EPC	85000	1487500		-		-	-	0.051	-	-	2.874%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-09-06	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.045	-	-
1998-09-27	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.089	-	-
1998-11-21	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.089	-	-
2005-02-02	ANONYMOUS	v4_computers	2¹	2⁶³		-	-	0.231	-	-
2014-02-09	Nesowa	Manual testing	2⁶³	2⁶⁴		-	-	0.284	-	-
2014-02-17	lycorn	Manual testing	2⁶⁴	2⁶⁵*	29076986451095225177	64.657	20	0.317	6.287	1.325

ECM factoring results:

Total ECM effort:	0.995 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	0.995

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2012-08-21	Dogbert948	JONANDCALLIE	50000	5000000						3	0.995

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-09-22	ANONYMOUS	v4_computers	71D8B916EF7E133F	1.505
2001-09-10	ANONYMOUS	v4_computers	71D8B916EF7E133F	1.505

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-22

Oliver Kruse

GTX-4

29076986451095225177

4D0329A7EB4FFE__

2019-01-19

ATH

ec2-PRPCFDC

29076986451095225177

4D0329A7EB4FFE38

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 = 85000, B2 = 1487500 (P-1 stage 2)

B1 = 85000 (P-1 stage 1)

B1 = 35000, B2 = 472500 (P-1 stage 2)

B1 = 35000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

this exponent TF target: 67

TF double-checked to: 67.8

ECM T-Level=0.58 ~= -15-bit

2⁵⁰

2⁶⁰

2⁷⁰

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