M1 595 057 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	18.6287	68.6567%	500000	15000000	0.0835	4.9853%	18.7123	70.2193%
Target	2⁶¹	0.1926	65.5738%	6500	60000	0.0006	1.0556%	0.1932	65.9372%
Difference	+6	+18.4362	+3.0829%	+493500	+14940000	+0.0829	+3.9297%	+18.5191	+4.2821%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1595057	1249824347888155498420374911	28	90.014	391780465490623688815 5 × 7 × 31 × 173 × 929 × 829831 × 2707457	2013-12-04	829831	2707457	291,773,400	0.0604	0.1094

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-04	James Heinrich	WHS	85000	1445000		-		-	-	0.010	-	-	2.278%
2013-12-04	David Campeau	i5-2500k	500000	15000000			1249824347888155498420374911	28	90.014	0.084	0.142	0.167	4.985%
2016-03-17	alpertron	Manual testing	500000	15000000	12	-		-	-	0.084	-	-	4.985%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-10-29	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.012	-	-
2003-07-30	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.024	-	-
2010-05-02	Architects Cubed	m1_76l	2⁶⁰	2⁶¹		-	-	0.096	-	-
2010-06-29	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	1.001	-	-

ECM factoring results:

Total ECM effort:	31.350 GHz-days
Estimated T-Level:	25.718

Digits	B1	Complete	FacMiss
20	11000	14.654	0.000%
25	50000	1.674	18.740%
30	250000	0.144	86.623%
35	1000000	0.010	99.005%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		251	14.07
250000	40000000		50	17.28

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-06-11	Scott Kurowski	UW4	50000	5000000						3	0.168
2009-05-14	S36049	Wolle3	50000	5000000						3	0.168
2010-03-23	James Classen	towerofart	50000	5000000						3	0.168
2011-08-13	S36049	Wolle5	50000	5000000						3	0.168
2013-01-04	MadPoo	IntLAVH03	50000	5000000						3	0.168
2013-10-27	arnaud	SPR14	50000	5000000						3	0.168
2019-09-02	TJAOI	Manual testing	50000	5000000						233	13.06
2022-10-31	TJAOI	Manual testing	250000	40000000						50	17.28

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1997-01-01	The Grebelius Family		4DA556214B6D6629	0.071
1998-11-21	ANONYMOUS	v4_computers	4DA556214B6D6629	0.071

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-02

Oliver Kruse

GTX-2

1249824347888155498420374911

5A35AB43891AEB__

2017-10-31

ATH

ec2-1xf

1249824347888155498420374911

5A35AB43891AEB__

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 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 85000, B2 = 1445000 (P-1 stage 2)

B1 = 85000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶³

2⁶¹

2⁵⁸

2⁵⁷

this exponent TF target: 61

TF double-checked to: 67.8

ECM T-Level=25.72 ~= 69-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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