M1903277 Mersenne number exponent details

is 2 ^1903277 - 1

has 572944 decimal digits

takes 0.103 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	2⁶⁸	31.3170	69.1176%	8000000	320000000	1.9665	9.7322%	33.2834	72.1232%	3.0055%
PrimeNet	2⁵⁷	0.0101	63.1579%	9000	160000	0.0014	3.0390%	0.0114	64.2775%	1.1196%
GPU72	2⁶¹	0.1614	65.5738%	10000	160000	0.0014	1.7279%	0.1628	66.1686%	0.5949%
Difference	+7	+31.1556	+3.5439%	+7990000	+319840000	+1.9650	+8.0042%	+33.1206	+5.9545%	+5.9545%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1903277	3845003500145457145197673	25	81.669	1010100868172488068 2² × 3 × 67 × 10679219 × 117643843	2020-07-02	10679219	117643843	410,360	1.2985	1.7097

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-08-10T00:00:00	Jocelyn Larouche	v4_computers	20000	160000		-		-	-	0.002	-	-	0.732%
2011-02-07T12:36:00	Carsten Kossendey	leela	105000	1785000		-		-	-	0.015	-	-	2.280%
2011-06-30T22:07:00	kurly	kk	1000000	30000000		-		-	-	0.203	-	-	5.680%
2017-11-24T11:21:37	mikr	S063	8000000	320000000	12	-		-	-	1.966	-	-	9.732%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2011-02-05T00:00:00	GrunwalderGIMP	v4_computers	2¹	2⁵⁶		-	-	0.005	-	-
2011-02-05T00:00:00	GrunwalderGIMP	v4_computers	2⁵⁶	2⁵⁷		-	-	0.005	-	-
2002-01-02T00:00:00	Jocelyn Larouche	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-
2011-02-05T00:00:00	GrunwalderGIMP	v4_computers	2⁵⁷	2⁵⁸		-	-	0.010	-	-
2011-02-05T00:00:00	GrunwalderGIMP	v4_computers	2⁵⁸	2⁵⁹		-	-	0.020	-	-
2011-02-05T00:00:00	GrunwalderGIMP	v4_computers	2⁵⁹	2⁶⁰		-	-	0.040	-	-
2011-02-05T00:00:00	GrunwalderGIMP	v4_computers	2⁶⁰	2⁶¹		-	-	0.081	-	-
2009-05-24T17:54:00	Architects Cubed	m1_fw	2⁶⁰	2⁶¹		-	-	0.081	-	-
2011-01-24T03:35:00	GrunwalderGIMP	GWPrime02	2⁶¹	2⁶²		-	-	0.161	-	-
2011-01-24T07:58:00	GrunwalderGIMP	GWPrime02	2⁶²	2⁶³		-	-	0.516	-	-
2015-05-16T12:25:00	omylist	Manual testing	2⁶³	2⁶⁴		-	-	1.032	-	-
2015-05-16T17:55:00	monst	Manual testing	2⁶⁴	2⁶⁵		-	-	1.963	-	-
2015-08-31T08:30:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.926	-	-
2017-03-15T08:26:27	Smok_bmv	Manual testing	2⁶⁶	2⁶⁷		-	-	7.852	-	-
2019-04-25T20:32:09	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	15.70	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	19.115 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:	19.115 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.520	0.020%
25	50000	0.763	46.637%
30	250000	0.047	95.393%
35	1000000	0.002	99.784%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		123	8.534
50000	5000000	3845003500145457145197673	2	0.139
50000	6600000		10	0.783
50000	7500000		116	9.66

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-12T12:22:00	ClknGo Software Corp	cngs1	50000	5000000						3	0.208
2009-07-27T19:25:00	James Hintz	08_071509	50000	5000000						3	0.208
2010-11-25T15:50:00	Lupo	yorick	50000	5000000						3	0.208
2012-10-15T18:09:00	Donna Noble	i3-2100t	50000	5000000						3	0.208
2013-11-10T13:52:00	ChrisS94	Compaq_pentium_d	50000	5000000						3	0.208
2014-07-29T18:52:00	Sara	Sara	50000	5000000						3	0.208
2015-07-10T11:03:00	Sara	Sara	50000	5000000						3	0.208
2016-01-01T19:51:17	Sara	Sara	50000	5000000						3	0.208
2016-06-13T12:27:36	lettp	Home	50000	5000000						3	0.208
2016-08-18T00:01:51	Bruce	test	50000	5000000						3	0.208
2017-02-03T05:24:24	Bruce	Desk6	50000	5000000						3	0.208
2017-07-15T20:07:33	Bruce	Desk6	50000	5000000						3	0.208
2017-12-04T15:39:29	Sebastian Hornbostel	V2	50000	5000000						3	0.208
2018-04-01T09:35:36	Bruce	Desk6	50000	5000000						3	0.208
2018-08-31T09:31:03	-Anonymous-	Kitchen	50000	5000000						3	0.208
2019-11-15T12:54:02	monsted	rootweiler	50000	5000000						3	0.208
2019-11-30T09:44:40	Alvin Bunk	i7-Core	50000	5000000						3	0.208
2019-12-08T03:56:20	Alvin Bunk	BADCAT	50000	5000000						3	0.208
2019-12-12T14:20:18	Keysarecool	Boat_Anchor	50000	5000000						3	0.208
2019-12-19T04:46:02	mnd9	touchdown	50000	5000000						3	0.208
2019-12-23T15:22:18	Alvin Bunk	BADCAT	50000	5000000						3	0.208
2019-12-29T13:15:20	J.R. Allen	lapacer	50000	5000000						3	0.208
2020-01-02T23:21:05	TheJudger	myECM	50000	5000000						3	0.208
2020-01-09T17:50:37	Yuji HASEGAWA	sx1w7	50000	5000000						3	0.208
2020-01-17T18:44:17	David_McCann	i5	50000	5000000						3	0.208
2020-01-23T02:38:16	Keysarecool	Boat_Anchor	50000	5000000						3	0.208
2020-02-04T03:48:30	cappy95833	HomePC	50000	5000000						3	0.208
2020-02-08T12:15:39	mnd9	kitchen	50000	5000000						3	0.208
2020-02-09T11:30:15	Corey	Computer	50000	5000000						3	0.208
2020-02-16T10:42:25	mnd9	libproj	50000	5000000						3	0.208
2020-02-23T22:01:13	cappy95833	HomePC	50000	5000000						3	0.208
2020-03-01T02:11:34	mnd9	50869b	50000	5000000						3	0.208
2020-03-07T06:16:20	IanGlencross	glenx24	50000	5000000						3	0.208
2020-03-15T02:45:39	MarkS	desktop-i7	50000	5000000						3	0.208
2020-03-22T20:45:34	IanGlencross	glenx24	50000	5000000						3	0.208
2020-04-04T21:59:09	cappy95833	HomePC	50000	5000000						3	0.208
2020-04-18T08:55:29	mnd9	fb	50000	5000000						3	0.208
2020-04-27T01:51:18	nordi	sweet16	50000	5000000						3	0.208
2020-05-07T00:10:09	IanGlencross	glenx24	50000	5000000						3	0.208
2020-05-18T07:43:57	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.208
2020-06-10T22:04:40	Nesowa	entropy_generator_2	50000	5000000						3	0.208
2020-07-02T08:37:52	GAN	LMS-11	50000	5000000	3845003500145457145197673	81.669	2	2	7968055630796130	2	0.139
2022-01-06T11:59:17	TJAOI	Manual testing	50000	6600000						10	0.783
2022-01-06T11:59:18	TJAOI	Manual testing	50000	7500000						116	9.66

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-12-13T00:00:00	ANONYMOUS	v4_computers	0C9420377655BBDA	0.103
2015-06-29T14:43:00	MadPoo	Manual testing	0C9420377655BBDA	0.103

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-07-02T10:59:20

CrypticClue

Manual testing

3845003500145457145197673

F3E6063BB6C37858

2020-07-03T11:57:45

marssystems

system11

3845003500145457145197673

F3E6063BB6C37858

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 = 8000000, B2 = 320000000 (P-1 stage 2)

B1 = 8000000 (P-1 stage 1)

B1 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 105000, B2 = 1785000 (P-1 stage 2)

B1 = 105000 (P-1 stage 1)

B1 = 20000, B2 = 160000 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁹

2⁵⁸

2⁵⁷

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-01-06T11:59:18+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