M6 957 133 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	4.2710	65.6716%	130000	2827500	0.0876	3.5784%	4.3586	66.9000%
Target	2⁶⁷	4.2710	65.6716%	45000	900000	0.0290	2.2383%	4.3000	66.4400%
Difference	-	-	-	+85000	+1927500	+0.0586	+1.3401%	+0.0586	+0.4600%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
6957133	959808074596694080271	21	69.701	68980144162595 5 × 79 × 174633276361	2012-09-01	79	174633276361	30.236	3,008.3	5,618.7

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-09-30	ANONYMOUS	v4_computers	35000	341250		-		-	-	0.016	-	-	1.621%
2011-12-13	James Heinrich	Q6600	130000	2827500		-		-	-	0.088	-	-	3.578%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-08-30	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.088	-	-
1999-10-15	ANONYMOUS	v4_computers	2¹	2⁶³		-	-	0.229	-	-
2001-09-22	ANONYMOUS	v4_computers	2¹	2⁶³		-	-	0.229	-	-

ECM factoring results:

Total ECM effort:

0.000 GHz-days

Digits	B1	Complete	FacMiss

ECM Summary

B1	B2	factor	curves	GHz-days
		959808074596694080271	1	0.00000e+0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2012-09-01	Donna Noble	i7-2600k			959808074596694080271	69.701		1		1	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-04-13	ANONYMOUS	v4_computers	EABDC2A73134E9__	1.517
2000-01-04	ANONYMOUS	v4_computers	640AA8FDC5CA8976	1.517
2001-10-13	ANONYMOUS	v4_computers	640AA8FDC5CA8976	1.517

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-28

Oliver Kruse

GTX-5

959808074596694080271

830EF3597E2A10__

2019-02-11

arnaud

stm-11-010

959808074596694080271

830EF3597E2A10B4

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 = 130000, B2 = 2827500 (P-1 stage 2)

B1 = 130000 (P-1 stage 1)

B1 = 35000, B2 = 341250 (P-1 stage 2)

B1 = 35000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

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