M1807153 Mersenne number exponent details

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M1807153

<<<

>>>

is 2 ^1807153 - 1

has 544008 decimal digits

takes 0.098 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- primality tests remaining

	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	Prob over default TF
Actual	2⁶⁷	16.4424	68.6567%	500000	15000000	0.1015	5.0609%	16.5439	70.2430%	1.5863%
PrimeNet	2⁵⁷	0.0106	63.1579%	8000	150000	0.0012	2.8723%	0.0119	64.2161%	1.0582%
GPU72	2⁶¹	0.1700	65.5738%	9000	130000	0.0012	1.5556%	0.1712	66.1093%	0.5355%
Difference	+6	+16.2724	+3.0829%	+491000	+14870000	+0.1002	+3.5053%	+16.3727	+4.1337%	+4.1337%

Known prime factors (4 factors, 272.5 bits, 0.01508168% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1807153	75647929090131623	17	56.070	20930139587 7 × 23 × 157 × 811 × 1021	-	811	1021	0.0066	6.470e-5	0.0001
1807153	1131031322521882721	19	59.972	312931811120 2⁴ × 5 × 14503 × 269713	2015-07-11	14503	269713	0.0532	0.0022	0.0023
1807153	8320607685477577852399	22	72.817	2302131497852583 3² × 1129 × 226565446103	2020-10-16	1129	226565446103	557.03	971.00	1,813.6
1807153	15596160582082385928396377	26	83.689	4315119024809295596 2² × 132157 × 8162865048407	2021-02-12	132157	8162865048407	2,124,806	34,984	65,340

11 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
1807153	75647929090131623 1131031322521882721	85560177284853173787268551659386183	35	116.042
1807153	75647929090131623 8320607685477577852399	629436740177812015508619653616576313577	39	128.887
1807153	1131031322521882721 8320607685477577852399	9410867914691446459027312355577326497679	40	132.790
1807153	75647929090131623 15596160582082385928396377	1179817249791674268693638374591960246329871	43	139.760
1807153	1131031322521882721 15596160582082385928396377	17639746129416297191238451032804006395301817	44	143.662
1807153	8320607685477577852399 15596160582082385928396377	129769533603217154535411597823326684517672358423	48	156.507
1807153	75647929090131623 1131031322521882721 8320607685477577852399	71191266868717339762956514770527101284237719602771 4003017	57	188.860
1807153	75647929090131623 1131031322521882721 15596160582082385928396377	13344102643660078093179646742961971182999891232979 25341058991	61	199.732
1807153	75647929090131623 8320607685477577852399 15596160582082385928396377	98167964760756241574878446976340298590379791500324 37813902710529	64	212.577
1807153	1131031322521882721 8320607685477577852399 15596160582082385928396377	14677340721429459904701277826306759795489530729801 4948206282508983	66	216.479
1807153	75647929090131623 1131031322521882721 8320607685477577852399 15596160582082385928396377	11103104301263971019256171324378795978881868971299 611484701368553581027538149869409	83	272.549

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2015-07-11T12:16:00	alpertron	Manual testing	500000	15000000	12		1131031322521882721	19	59.972	0.039	0.196	0.079	5.061%

Trial Factoring results:
No TF results for M1807153

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.312 GHz-days
Estimated T-Level:	24.482

Digits	B1	Curves	Complete	FacMiss
20	11000	251 / 100	2.510	8.025%
25	50000	251 / 280	0.896	40.737%

New Calculation Method

Total ECM effort:	17.312 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.097	0.030%
25	50000	0.732	48.105%
30	250000	0.045	95.594%
35	1000000	0.002	99.794%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		98	6.759
50000	5000000	8320607685477577852399	6	0.414
50000	5000000	15596160582082385928396377	147	10.14

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2016-06-21T08:48:20	Richard B. Woods	Puttputt	50000	5000000						1	0.069
2018-04-28T19:31:21	Gordon Spence	haswell	50000	5000000						3	0.207
2019-09-18T23:54:01	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2020-04-18T09:24:30	-Anonymous-	aws-nano	50000	5000000						3	0.207
2020-05-07T16:34:25	Greg Hogan	azure3	50000	5000000						3	0.207
2020-06-15T18:44:49	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2020-07-11T13:43:22	argusdusty	Argus-PC	50000	5000000						3	0.207
2020-07-13T17:35:47	argusdusty	Manual testing	50000	5000000						3	0.207
2020-10-16T17:35:14	nordi	sweet16	50000	5000000	8320607685477577852399	72.817	6	2	4617190498355847	6	0.414
2020-12-02T21:06:07	nordi	sweet16	50000	5000000						7	0.483
2021-02-12T10:30:59	TJAOI	Manual testing	50000	5000000	15596160582082385928396377	83.689	147	2		147	10.14
2021-02-19T17:10:25	TJAOI	Manual testing	50000	5000000						69	4.759

Lucas-Lehmer results:
No L-L results for M1807153

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-03T20:01:48

Oliver Kruse

GTX-1

75647929090131623

1131031322521882721

6459C222F0D477__

2017-11-05T15:35:10

kkmrkkblmbrbk

c4.xlarge

75647929090131623

1131031322521882721

6459C222F0D477__

2020-10-17T14:19:06

mrh.org

75647929090131623

1131031322521882721

8320607685477577852399

44BF169277486E88

2021-02-12T12:53:37

SRJ2877

LTOS

75647929090131623

1131031322521882721

8320607685477577852399

15596160582082385928396377

44BF169277486E88

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)

10¹

10²

10³

10⁴

10⁵

10⁶

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

TF factor-bounds graph:

2⁶⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-02-19T17:10:25+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