M1 597 763 Mersenne number exponent details

Residue

Status

L-L

FC87F11AFF899EE7

double-checked

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	18.5972	68.6567%	500000	15000000	0.0835	4.9863%	18.6807	70.2196%
Target	2⁶¹	0.1923	65.5738%	6500	60000	0.0006	1.0560%	0.1929	65.9373%
Difference	+6	+18.4049	+3.0829%	+493500	+14940000	+0.0829	+3.9303%	+18.4879	+4.2823%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁶⁷

18.5972

68.6567%

500000

15000000

0.0835

4.9863%

18.6807

70.2196%

Target

2⁶¹

0.1923

65.5738%

6500

60000

0.0006

1.0560%

0.1929

65.9373%

Difference

+18.4049

+3.0829%

+493500

+14940000

+0.0829

+3.9303%

+18.4879

+4.2823%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1597763	83779089587232177407	20	66.183	26217621007381 149 × 30839 × 5705671	2013-11-29	30839	5705671	17.263	0.0220	0.0376
1597763	384313023197306174617	21	68.381	120265966603716 2² × 3 × 17 × 589539051979	2019-09-02	17	589539051979	73.555	2,080.3	3,885.4

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1597763

83779089587232177407

66.183

26217621007381
149 × 30839 × 5705671

2013-11-29

30839

5705671

17.263

0.0220

0.0376

1597763

384313023197306174617

68.381

120265966603716
2² × 3 × 17 × 589539051979

2019-09-02

589539051979

73.555

2,080.3

3,885.4

exponent	prime factors	composite factor	digits	bits*
1597763	83779089587232177407 384313023197306174617	32197395199987151981508189810186664278119	41	134.564

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-05	James Heinrich	WHS	85000	1445000		-		-	-	0.010	-	-	2.279%
2013-11-29	David Campeau	i5-2500k	500000	15000000			83779089587232177407	20	66.183	0.084	0.143	0.167	4.986%
2016-03-16	alpertron	Manual testing	500000	15000000	12	-	skipped known factor: 83779089587232177407	-	-	0.084	-	-	4.986%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-07-27	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.012	-	-
2003-07-30	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.024	-	-
2010-05-10	Architects Cubed	m1_f2	2⁶⁰	2⁶¹		-	-	0.096	-	-
2010-07-04	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.999	-	-

ECM factoring results:

Total ECM effort:	31.357 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		167	9.362
50000	5000000	384313023197306174617	84	4.709
250000	40000000		50	17.29

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-03-25	paulie	iMac3.4	50000	5000000						3	0.168
2009-05-15	Lupo	yorick	50000	5000000						3	0.168
2010-03-26	James Classen	towerofart	50000	5000000						3	0.168
2011-08-16	S36049	Wolle5	50000	5000000						3	0.168
2013-01-21	Jacques MOLNE	Old_faithfull	50000	5000000						3	0.168
2013-10-28	Chang Chia-Tche	exbpc13	50000	5000000						3	0.168
2019-09-02	TJAOI	Manual testing	50000	5000000	384313023197306174617	68.381	84	2		84	4.709
2019-09-02	TJAOI	Manual testing	50000	5000000						149	8.353
2022-08-23	TJAOI	Manual testing	250000	40000000						50	17.29

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Kurt Steinkraus		FC87F11AFF899EE7	0.071

date

userid

compid

res64

spent (GHz-days)

1997-01-01

Kurt Steinkraus

FC87F11AFF899EE7

0.071

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-02

Oliver Kruse

GTX-3

83779089587232177407

B74B6C2A4C77F5__

2017-10-31

kkmrkkblmbrbk

c4.xlarge

83779089587232177407

B74B6C2A4C77F5__

2019-09-03

mnd9

75202b

83779089587232177407

384313023197306174617

1F703B914293193D

2019-09-03

ATH

ec2-PRPCFDC

83779089587232177407

384313023197306174617

1F703B914293193D

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)

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