M12 889 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	unknown	100000000000	120417199046794650	1,876,193.8988	79.2720%	1,876,193.8988	79.2720%
Target	2⁴⁴	0.0002	68.1818%	500	50000	0.0000	1.3658%	0.0002	68.6164%
Difference	-44	-0.0002	-68.1818%	+99999999500	+120417199046744650	+1,876,193.8988	+77.9062%	+1,876,193.8986	+10.6556%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

unknown

100000000000

120417199046794650

1,876,193.8988

79.2720%

1,876,193.8988

79.2720%

Target

2⁴⁴

0.0002

68.1818%

500

50000

0.0000

1.3658%

0.0002

68.6164%

Difference

-44

-0.0002

-68.1818%

+99999999500

+120417199046744650

+1,876,193.8988

+77.9062%

+1,876,193.8986

+10.6556%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
12889	203826647	9	27.603	7907 7907	-	1	7907	2.374e-9	1.235e-7	2.300e-7
12889	142256025491581358908706332681794361	36	116.776	5518505139715313791167132154620 2² × 3² × 5 × 7² × 73 × 211 × 331 × 122721189763716939587	2012-08-18	331	122721189763716939587	1.313e+13	1.912e+9	3.571e+9
12889	662436485480226383271417044707370528382234361	45	148.893	25697745576857257478137056587298104134620 2² × 3² × 5 × 7 × 11 × 1109 × 1245312143 × 5455032251 × 246107417453591	2023-05-15	5455032251	246107417453591	9.960e+12	3,836.0	7,161.8

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

12889

203826647

27.603

7907
7907

7907

2.374e-9

1.235e-7

2.300e-7

12889

142256025491581358908706332681794361

116.776

5518505139715313791167132154620
2² × 3² × 5 × 7² × 73 × 211 × 331 × 122721189763716939587

2012-08-18

331

122721189763716939587

1.313e+13

1.912e+9

3.571e+9

12889

662436485480226383271417044707370528382234361

148.893

25697745576857257478137056587298104134620
2² × 3² × 5 × 7 × 11 × 1109 × 1245312143 × 5455032251 × 246107417453591

2023-05-15

5455032251

246107417453591

9.960e+12

3,836.0

7,161.8

exponent	prime factors	composite factor	digits	bits*
12889	203826647 142256025491581358908706332681794361	28995568691495555114065190898196662546137567	44	144.379
12889	203826647 662436485480226383271417044707370528382234361	13502220768589872850314982716135243098676916417081 7567	54	176.495
12889	142256025491581358908706332681794361 662436485480226383271417044707370528382234361	94235581565028649107395481888662728584674526021782 895026534439537271691910238321	80	265.669
12889	203826647 142256025491581358908706332681794361 662436485480226383271417044707370528382234361	19207722618494802006499963976315351281285264225334 256455211490840906320490080901940339687	89	293.271

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2022-02-05	Jocelyn Larouche	Manual testing	1000000	3910366209750		-	skipped known factor: 203826647	-	-	60.93	-	-	48.914%
2023-05-15	JacobZ	GreatLakes	8600000000	36024966470342850			662436485480226383271417044707370528382234361	45	148.893	561,291	5.08399e-6	1,122,583	76.604%
2023-05-26	-Anonymous-	DellT5810	100000000000	120417199046794650			662436485480226383271417044707370528382234361	45	148.893	1,876,194	5.08399e-6	3,752,388	79.272%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2022-02-05

Jocelyn Larouche

Manual testing

1000000

3910366209750

skipped known factor: 203826647

60.93

-

-

48.914%

2023-05-15

JacobZ

GreatLakes

8600000000

36024966470342850

662436485480226383271417044707370528382234361

148.893

561,291

5.08399e-6

1,122,583

76.604%

2023-05-26

-Anonymous-

DellT5810

100000000000

120417199046794650

662436485480226383271417044707370528382234361

148.893

1,876,194

5.08399e-6

3,752,388

79.272%

ECM factoring results:

Total ECM effort:	415.330 GHz-days
Estimated T-Level:	40.629

Digits	B1	Complete	FacMiss
20	11000	1,169.781	0.000%
25	50000	281.987	0.000%
30	250000	55.408	0.000%
35	1000000	8.680	0.017%
40	3000000	1.126	32.432%
45	11000000	0.126	88.172%
50	44000000	0.012	98.779%
55	110000000	0.001	99.897%

ECM Summary

B1	B2	factor	curves	GHz-days
		142256025491581358908706332681794361	1	0.00000e+0
50000	5000000		148	0.030
250000	25000000		521	0.536
500000	50000000		25	0.051
1000000	100000000		1,350	5.555
3000000	300000000		2,443	30.16
3000000	22972799850		1,200	379.0

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-07	Matthias Wurtinger	AMD_Funzel	50000	5000000						50	0.010
2009-06-07	unconnected	dual5430	250000	25000000						30	0.031
2009-06-08	Rob_Dee	twopc	50000	5000000						80	0.016
2009-07-09	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-10	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-10	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-11	Rob_Dee	twopc	50000	5000000						6	0.001
2009-07-13	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-14	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-15	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-16	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-17	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-19	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-21	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-22	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-24	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-26	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-30	Rob_Dee	twopc	500000	50000000						5	0.010
2009-07-31	Rob_Dee	twopc	500000	50000000						5	0.010
2009-08-05	Rob_Dee	twopc	500000	50000000						5	0.010
2009-08-12	Rob_Dee	twopc	500000	50000000						5	0.010
2009-09-03	Rob_Dee	twopc	500000	50000000						5	0.010
2011-04-11	James Hintz	17_051310	250000	25000000						11	0.011
2012-08-13	BloodIce	Mjolnir4	250000	25000000						200	0.206
2012-08-13	BloodIce	Mjolnir4	250000	25000000						180	0.185
2012-08-14	BloodIce	Mjolnir4	1000000	100000000						200	0.823
2012-08-15	BloodIce	Mjolnir4	1000000	100000000						200	0.823
2012-08-16	BloodIce	Mjolnir4	1000000	100000000						200	0.823
2012-08-17	BloodIce	Mjolnir4	1000000	100000000						500	2.058
2012-08-18	BloodIce	Mjolnir4	1000000	100000000						250	1.029
2012-08-18	BloodIce	Mjolnir4			142256025491581358908706332681794361	116.776		1		1	-
2012-08-19	BloodIce	Mjolnir4	3000000	300000000						130	1.605
2012-08-21	BloodIce	Mjolnir4	3000000	300000000						50	0.617
2012-08-21	BloodIce	Mjolnir4	3000000	300000000						50	0.617
2012-08-22	BloodIce	URM2	3000000	300000000						50	0.617
2012-08-22	BloodIce	URM2	3000000	300000000						50	0.617
2012-08-22	BloodIce	Mjolnir4	3000000	300000000						50	0.617
2012-08-23	BloodIce	Mjolnir4	3000000	300000000						50	0.617
2012-08-23	BloodIce	Mjolnir4	3000000	300000000						50	0.617
2012-08-23	BloodIce	URM2	3000000	300000000						50	0.617
2012-08-23	BloodIce	Mjolnir4	3000000	300000000						50	0.617
2012-08-23	BloodIce	URM2	3000000	300000000						50	0.617
2012-08-23	BloodIce	Mjolnir4	3000000	300000000						50	0.617
2012-08-24	BloodIce	URM2	3000000	300000000						50	0.617
2012-08-26	BloodIce	URM2	3000000	300000000						50	0.617
2012-08-27	BloodIce	URM2	3000000	300000000						50	0.617
2012-08-27	BloodIce	Mjolnir4	3000000	300000000						100	1.235
2012-08-28	BloodIce	URM2	3000000	300000000						50	0.617
2012-08-29	BloodIce	Mjolnir4	3000000	300000000						100	1.235
2012-08-29	BloodIce	Mjolnir4	3000000	300000000						100	1.235
2012-08-30	BloodIce	Mjolnir4	3000000	300000000						100	1.235
2012-08-30	BloodIce	Mjolnir4	3000000	300000000						100	1.235
2012-08-31	BloodIce	URM2	3000000	300000000						50	0.617
2012-08-31	BloodIce	Mjolnir4	3000000	300000000						100	1.235
2012-08-31	BloodIce	Mjolnir4	3000000	300000000						100	1.235
2012-08-31	BloodIce	URM2	3000000	300000000						50	0.617
2012-09-01	BloodIce	URM2	3000000	300000000						50	0.617
2012-09-02	BloodIce	URM2	3000000	300000000						50	0.617
2012-09-03	BloodIce	URM2	3000000	300000000						50	0.617
2012-09-03	BloodIce	Mjolnir4	3000000	300000000						100	1.235
2012-09-03	BloodIce	Mjolnir4	3000000	300000000						100	1.235
2012-09-03	BloodIce	Mjolnir4	3000000	300000000						100	1.235
2012-09-04	BloodIce	URM2	3000000	300000000						50	0.617
2012-09-05	BloodIce	URM2	3000000	300000000						50	0.617
2012-09-06	BloodIce	URM2	3000000	300000000						50	0.617
2012-09-06	BloodIce	URM2	3000000	300000000						50	0.617
2012-09-06	BloodIce	URM2	3000000	300000000						50	0.617
2019-11-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-14	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-14	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-14	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-11-14	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2023-05-24	Denial140	i5-8400	3000000	22972799850						200	63.17
2023-05-24	Denial140	i5-8400	3000000	22972799850						200	63.17
2023-05-24	Denial140	i5-8400	3000000	22972799850						200	63.17
2023-05-24	Denial140	i5-8400	3000000	22972799850						200	63.17
2023-05-24	Denial140	i5-8400	3000000	22972799850						200	63.17
2023-05-24	Denial140	i5-8400	3000000	22972799850						200	63.17

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