M289369 Mersenne number exponent details

is 2 ²⁸⁹³⁶⁹ - 1

has 87109 decimal digits

takes 0.002 GHz-days to do one PRP test

Exponent is not assigned to anyone

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	102.6852	71.6418%	50000	50000	0.0005	0.3959%	102.6857	71.7541%	0.1123%
PrimeNet	2⁴⁰	0.0000	52.5000%	3000	80000	0.0001	15.0797%	0.0001	59.6629%	7.1629%
GPU72	2⁴⁴	0.0000	56.8182%	5500	140000	0.0001	11.1847%	0.0001	61.6480%	4.8298%
Difference	+23	+102.6852	+14.8236%	+44500	-90000	+0.0004	-10.7888%	+102.6856	+10.1061%	+10.1061%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
289369	1090098743303	13	39.988	1883579 29 × 64951	-	29	64951	4.305e-7	3.533e-5	6.549e-5
289369	38559096952199	14	45.132	66626171 599 × 111229	2008-07-21	599	111229	2.023e-5	6.566e-5	0.0001
289369	8338136950741840428862343	25	82.786	14407446807954273659 67 × 215036519521705577	2019-03-15	67	215036519521705577	5,450,173	116,083,881	216,812,363
289369	9160288835846560949429526913	28	92.887	15828041075316569759424 2⁶ × 3 × 31 × 17077 × 212209 × 733818859	2020-06-28	212209	733818859	5.600e+9	0.3981	0.7399

exponent	prime factors	composite factor	digits	bits*
289369	1090098743303 38559096952199	42033223130490667362373297	26	85.120
289369	1090098743303 8338136950741840428862343	9089392611491988665084198674280138929	37	122.774
289369	38559096952199 8338136950741840428862343	321511031084367562672613969044222142257	39	127.918
289369	1090098743303 9160288835846560949429526913	9985619348248836949107521822623117013639	40	132.875
289369	38559096952199 9160288835846560949429526913	353212465331553654123163762958796745031687	42	138.020
289369	1090098743303 38559096952199 8338136950741840428862343	35047877094312084943795357966914950130752219205487 1	51	167.906
289369	8338136950741840428862343 9160288835846560949429526913	76379742821640166981352765246928052859791345290737 159	53	175.673
289369	1090098743303 38559096952199 9160288835846560949429526913	38503646457688109359217834238385291272804890761404 2161	54	178.007
289369	1090098743303 8338136950741840428862343 9160288835846560949429526913	83261461663676281299639724430600242903715300760228 324192384496177	65	215.661
289369	38559096952199 8338136950741840428862343 9160288835846560949429526913	29451339086436488111129568444988842106734140280751 41219142896062641	67	220.806
289369	1090098743303 38559096952199 8338136950741840428862343 9160288835846560949429526913	32104867726714939782467042769687060668407977313573 22603041926324664900867243223	79	260.793

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2022-02-06T16:48:20	Lisander Viaene	Manual testing	50000	50000		-		-	-	0.000	-	-	0.396%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-07-21T09:15:00	J Feitsma	Manual testing	?	?	38559096952199	45.132	14	4.03548e-6	0.004	8.38544e-6

ECM factoring results:

Old Calculation Method

Total ECM effort:	8.382 GHz-days
Estimated T-Level:	26.344

Digits	B1	Curves	Complete	FacMiss
20	11000	453 / 100	4.530	1.054%
25	50000	453 / 280	1.618	19.775%
30	250000	172 / 640	0.269	76.417%

New Calculation Method

Total ECM effort:	8.382 GHz-days
Estimated T-Level:	26.344

Digits	B1	Complete	FacMiss
20	11000	23.398	0.000%
25	50000	2.895	5.532%
30	250000	0.275	75.993%
35	1000000	0.021	97.927%
40	3000000	0.001	99.867%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	2.056
250000	25000000		128	4.684
250000	25000000	8338136950741840428862343	34	1.244
250000	25000000	9160288835846560949429526913	3	0.110
250000	34250000		7	0.288

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-10-24T12:44:00	TJAOI	Manual testing	50000	5000000						50	0.366
2015-01-23T13:31:00	TJAOI	Manual testing	50000	5000000						50	0.366
2015-10-16T10:39:23	TJAOI	Manual testing	50000	5000000						90	0.659
2016-05-20T14:51:48	TJAOI	Manual testing	50000	5000000						91	0.666
2019-02-15T06:31:55	happy5214	Happy5214-2	250000	25000000						3	0.110
2019-03-08T15:03:39	King	No.1_FactorFinder	250000	25000000						3	0.110
2019-03-15T12:26:35	TJAOI	Manual testing	250000	25000000	8338136950741840428862343	82.786	34	2		34	1.244
2019-03-15T12:26:35	TJAOI	Manual testing	250000	25000000						10	0.366
2020-06-19T23:28:57	kracker	O0	250000	25000000						3	0.110
2020-06-28T17:08:13	MarkS	desktop-i7	250000	25000000	9160288835846560949429526913	92.887	3	2	6867706353308525	3	0.110
2020-07-13T06:20:29	Chang Chia-Tche	exbpc13	250000	25000000						3	0.110
2020-07-24T07:26:48	argusdusty	Argus-PC	250000	25000000						3	0.110
2020-08-09T06:20:36	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.110
2020-09-21T11:31:43	nordi	sweet16	250000	25000000						7	0.256
2020-10-26T11:01:39	nordi	sweet16	250000	25000000						7	0.256
2020-11-09T12:26:01	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.256
2020-12-04T09:20:54	TJAOI	Manual testing	250000	25000000						72	2.635
2022-04-07T22:31:46	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.256
2022-05-22T21:47:00	Dylan Delgado	laptop-ryzen73700	250000	34250000						7	0.288

Lucas-Lehmer results:
No L-L results for M289369

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-22T12:54:49

Oliver Kruse

Ollaptop

1090098743303

38559096952199

A999A2D4245936__

2017-09-22T20:36:33

Oliver Kruse

Manual testing

1090098743303

38559096952199

A999A2D4245936__

2017-10-12T20:02:11

Oliver Kruse

GTX-0

A999A2D4245936__

2017-11-06T21:10:43

kkmrkkblmbrbk

c4.xlarge

1090098743303

38559096952199

A999A2D4245936__

2019-03-16T12:28:53

ANONYMOUS

dory

1090098743303

38559096952199

8338136950741840428862343

AFC16ABE35E7A842

2019-03-17T10:46:03

ANONYMOUS

1090098743303

38559096952199

8338136950741840428862343

AFC16ABE35E7A842

2019-04-09T08:47:45

kkmrkkblmbrbk

c5.large

1090098743303

38559096952199

8338136950741840428862343

AFC16ABE35E7A842

2020-06-29T15:46:58

trebor

Laptop

1090098743303

38559096952199

8338136950741840428862343

9160288835846560949429526913

AFC16ABE35E7A842

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 = 50000 (P-1 stage 1)

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10³

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10¹⁰

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10¹⁸

TF factor-bounds graph:

2⁶⁷

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-05-22T21:47:00+00:00

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