M245 087 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	121.2382	73.1343%	30000000	10120247026890	4,486.3114	23.3917%	4,607.5496	79.4187%
Target	2⁴⁴	0.0000	59.0909%	4500	550000	0.0003	10.1292%	0.0003	63.2347%
Difference	+23	+121.2382	+14.0434%	+29995500	+10120246476890	+4,486.3111	+13.2626%	+4,607.5494	+16.1840%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁶⁷

121.2382

73.1343%

30000000

10120247026890

4,486.3114

23.3917%

4,607.5496

79.4187%

Target

2⁴⁴

0.0000

59.0909%

4500

550000

0.0003

10.1292%

0.0003

63.2347%

Difference

+23

+121.2382

+14.0434%

+29995500

+10120246476890

+4,486.3111

+13.2626%

+4,607.5494

+16.1840%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
245087	760891692649449401	18	59.400	1552288968100 2² × 5² × 13 × 23 × 51916019	2007-08-05	25	51916019	0.3567	0.0230	0.0430

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

245087

760891692649449401

59.400

1552288968100
2² × 5² × 13 × 23 × 51916019

2007-08-05

51916019

0.3567

0.0230

0.0430

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-06-09	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.005	-	-	2.704%
2002-06-02	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.002	-	-	1.547%
2002-08-03	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.003	-	-	2.226%
2003-03-07	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.007	-	-	3.033%
2003-10-31	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.014	-	-	3.957%
2021-07-28	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 760891692649449401	-	-	1.561	-	-	12.549%
2022-04-12	Oliver Kruse	Threadripper-PC	30000000	10120247026890		-	skipped known factor: 760891692649449401	-	-	4,486	-	-	23.392%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2001-06-09

ANONYMOUS

v4_computers

100000

10000000

0.005

-

-

2.704%

2002-06-02

ANONYMOUS

v4_computers

32768

3276800

0.002

-

-

1.547%

2002-08-03

ANONYMOUS

v4_computers

65536

6553600

0.003

-

-

2.226%

2003-03-07

ANONYMOUS

v4_computers

131072

13107200

0.007

-

-

3.033%

2003-10-31

ANONYMOUS

v4_computers

262144

26214400

0.014

-

-

3.957%

2021-07-28

Oliver Kruse

Ollaptop

30000000

3000000000

skipped known factor: 760891692649449401

1.561

-

-

12.549%

2022-04-12

Oliver Kruse

Threadripper-PC

30000000

10120247026890

skipped known factor: 760891692649449401

4,486

-

-

23.392%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-11-24	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.002	-	-
2000-04-19	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.010	-	-
2022-03-07	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.010	-	-
2001-02-18	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.039	-	-
2002-04-14	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.078	-	-

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

1999-11-24

ANONYMOUS

v4_computers

2⁵²

2⁵³

0.002

-

-

2000-04-19

ANONYMOUS

v4_computers

2¹

2⁵⁴

0.010

-

-

2022-03-07

LordJulius

Manual testing

2⁵⁴

2⁵⁵

0.010

-

-

2001-02-18

ANONYMOUS

v4_computers

2¹

2⁵⁶

0.039

-

-

2002-04-14

ANONYMOUS

v4_computers

2¹

2⁵⁷

0.078

-

-

ECM factoring results:

Total ECM effort:	14.136 GHz-days
Estimated T-Level:	28.399

Digits	B1	Complete	FacMiss
20	11000	46.820	0.000%
25	50000	6.565	0.141%
30	250000	0.680	50.668%
35	1000000	0.055	94.617%
40	3000000	0.004	99.633%

ECM Summary

B1	B2	factor	curves	GHz-days
		760891692649449401	1	0.00000e+0
50000	5000000		274	1.637
250000	25000000		254	7.588
250000	25500216		50	1.504
various			112	3.4077

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-05	George Woltman	D_P4Debug			760891692649449401	59.400		1		1	-
2009-01-11	Matthias Wurtinger	WUR_E6600	11000	1100000						30	0.039
2014-08-15	TJAOI	Manual testing	50000	5000000						43	0.257
2014-12-26	TJAOI	Manual testing	50000	5000000						50	0.299
2015-08-14	TJAOI	Manual testing	50000	5000000						90	0.538
2016-04-01	TJAOI	Manual testing	50000	5000000						91	0.544
2017-08-11	TJAOI	Manual testing	250000	25000000						44	1.314
2019-12-19	kracker	O0	250000	25000000						3	0.090
2019-12-21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-22	Ducho_YYZ	oracleSW	250000	25000000						3	0.090
2019-12-24	Ducho_YYZ	oracleSW	250000	25000000						3	0.090
2019-12-25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-02	kracker	O0	250000	25000000						3	0.090
2020-01-04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-28	kracker	O0	250000	25000000						3	0.090
2020-03-03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-04-06	TJAOI	Manual testing	250000	25000000						1	0.030
2020-04-11	kracker	O0	250000	25000000						3	0.090
2020-04-28	Greg	azure3	250000	25000000						3	0.090
2020-05-02	Oliver Kruse	IOS-2	250000	25000000						3	0.090
2020-05-08	Greg Hogan	azure	250000	25000000						3	0.090
2020-05-26	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.090
2020-06-12	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.090
2020-06-23	kracker	O0	250000	25000000						3	0.090
2020-07-03	nordi	sweet16	250000	25000000						3	0.090
2020-07-18	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.090
2020-07-26	-Anonymous-	aws-nano	250000	25000000						3	0.090
2020-08-16	Ahmed Azhad	c5.large.az	250000	25000000						7	0.209
2020-10-19	nordi	sweet16	250000	25000000						7	0.209
2020-11-02	nordi	sweet16	250000	25000000						7	0.209
2021-01-22	seatsea	dt	250000	37320979						7	0.243
2021-02-06	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2021-03-03	Chang Chia-Tche	exbpc13	250000	25000000						7	0.209
2021-04-25	nordi	sweet16	250000	38500000						7	0.247
2021-06-16	Chang Chia-Tche	exbpc13	250000	25000000						7	0.209
2021-07-14	seatsea	Manual testing	250000	37320979						7	0.243
2021-09-06	Dylan Delgado	laptop-ryzen73700	250000	38500000						7	0.247
2021-10-17	Stef42	AMD-DESKTOP	250000	38500000						7	0.247
2021-12-16	-Anonymous-	UMA2022	250000	36250000						1	0.034
2021-12-31	JackBlock	school4	250000	25000000						7	0.209
2022-03-07	JackBlock	school1	250000	25000000						7	0.209
2022-04-30	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2022-05-29	debrouxl	o9020	250000	36250000						7	0.240
2022-06-25	MarkS	desktop-i7	250000	33000000						7	0.231
2022-07-19	debrouxl	o9020	250000	36178189						7	0.240
2022-08-23	Jaytholomew	Jaytholomew-Work	250000	32250000						10	0.327
2022-10-04	Nesowa	309b3ECMtrial	250000	235419030						7	0.793
2022-11-12	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2022-12-16	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2023-01-25	debrouxl	dl380g9-1	250000	36250000						8	0.275
2023-05-28	reclux	s4	250000	25500216						50	1.504

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