M1 596 667 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	18.6100	68.6567%	500000	15000000	0.0835	4.9859%	18.6935	70.2195%
Target	2⁶¹	0.1924	65.5738%	6500	60000	0.0006	1.0558%	0.1930	65.9373%
Difference	+6	+18.4176	+3.0829%	+493500	+14940000	+0.0829	+3.9300%	+18.5005	+4.2822%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1596667	4949175810389106848481091951	28	91.999	1549845963619560887925 3 × 5² × 1609 × 9463 × 97021 × 13988677	2013-11-28	97021	13988677	357,933,047	0.0553	0.0922

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%
2013-11-28	David Campeau	i5-2500k	500000	15000000			4949175810389106848481091951	28	91.999	0.084	0.143	0.167	4.986%
2016-03-16	alpertron	Manual testing	500000	15000000	12	-	skipped known factor: 4949175810389106848481091951	-	-	0.084	-	-	4.986%

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	2⁵⁷		-	-	0.012	-	-
2022-03-08	LordJulius	Manual testing	2⁵⁷	2⁶⁰		-	-	0.084	-	-
2010-05-03	Architects Cubed	m1_76l	2⁶⁰	2⁶¹		-	-	0.096	-	-
2010-07-04	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	1.000	-	-

ECM factoring results:

Total ECM effort:	31.354 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
2008-03-24	Scott Kurowski	UW1	50000	5000000						3	0.168
2009-05-29	Lukasz Wrobel	cm-1	50000	5000000						3	0.168
2010-03-25	unconnected	X3220--xp	50000	5000000						3	0.168
2011-09-01	Lukasz Wrobel	w-s	50000	5000000						3	0.168
2013-01-07	oodaira	Linux01	50000	5000000						3	0.168
2013-10-29	arnaud	SPR14	50000	5000000						3	0.168
2019-09-16	TJAOI	Manual testing	50000	5000000						233	13.06
2022-08-23	TJAOI	Manual testing	250000	40000000						50	17.28

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Martin Fahlgren		351C7431F4DF5B07	0.071
1998-12-06	ANONYMOUS	v4_computers	351C7431F4DF5B07	0.071

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-02

Oliver Kruse

GTX-1

4949175810389106848481091951

85311F23FA1A4B__

2017-10-31

kkmrkkblmbrbk

c4.xlarge

4949175810389106848481091951

85311F23FA1A4B__

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

2⁶⁰

2⁵⁷

this exponent TF target: 61

TF double-checked to: 67.7

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