M2025377 Mersenne number exponent details

is 2 ^2025377 - 1

has 609700 decimal digits

takes 0.133 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	29.4290	69.1176%	4000000	200000000	1.3994	8.7508%	30.8285	71.8201%	2.7025%
PrimeNet	2⁵⁸	0.0190	63.7931%	9000	150000	0.0016	2.6133%	0.0205	64.7393%	0.9462%
GPU72	2⁶²	0.3033	66.1290%	8000	120000	0.0013	1.2740%	0.3047	66.5606%	0.4315%
Difference	+6	+29.1257	+2.9886%	+3992000	+199880000	+1.3981	+7.4768%	+30.5238	+5.2596%	+5.2596%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2025377	6861088852651189179593	22	72.539	1693780677042148 2² × 423445169260537	2020-03-02	4	423445169260537	928.90	2,199,480	4,108,016

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-04-28T00:00:00	Jocelyn Larouche	v4_computers	2000	2000		-		-	-	0.000	-	-	0.017%
2003-01-09T00:00:00	ANONYMOUS	v4_computers	25000	418750		-		-	-	0.004	-	-	1.083%
2010-12-14T09:47:00	Jocelyn Larouche	Manual testing	202537	202537		-		-	-	0.019	-	-	1.172%
2013-10-21T19:26:00	David Campeau	i5-2500k	580000	15080000		-		-	-	0.131	-	-	4.746%
2019-03-26T15:49:20	mikr	MSI	4000000	200000000	12	-		-	-	1.399	-	-	8.751%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.019	-	-
2016-02-23T16:29:03	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.057	-	-
2009-01-03T05:31:00	Sturle Sunde	gassmann.ifi	2⁶⁰	2⁶¹		-	-	0.076	-	-
2012-02-06T00:47:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.152	-	-
2013-02-11T20:23:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.485	-	-
2015-04-10T15:56:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.969	-	-
2015-04-10T15:56:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.845	-	-
2015-10-31T16:44:08	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.690	-	-
2016-07-06T22:01:13	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	7.379	-	-
2019-03-20T02:02:06	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	14.76	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	6.523 GHz-days
Estimated T-Level:	3.850

Digits	B1	Curves	Complete	FacMiss
20	11000	77 / 100	0.770	46.122%
25	50000	77 / 280	0.275	75.920%

New Calculation Method

Total ECM effort:	6.523 GHz-days
Estimated T-Level:	3.850

Digits	B1	Complete	FacMiss
20	11000	2.484	8.342%
25	50000	0.224	79.892%
30	250000	0.014	98.627%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		75	6.353
50000	5000000	6861088852651189179593	2	0.169

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-03T16:07:00	SubPrime	c2d0	50000	5000000						3	0.254
2009-11-11T09:54:00	SubPrime	abd0	50000	5000000						3	0.254
2011-02-15T04:10:00	BlackburnCode	SpecOpUs2	50000	5000000						3	0.254
2013-03-11T12:27:00	Jacques MOLNE	Old_faithfull	50000	5000000						3	0.254
2014-03-21T07:50:00	Bruce	snowflake	50000	5000000						3	0.254
2015-07-04T00:44:00	guru	w1	50000	5000000						3	0.254
2015-11-01T19:14:37	mikr	MSI	50000	5000000						12	1.017
2017-05-14T01:27:27	Bruce	Desk6	50000	5000000						3	0.254
2017-11-12T03:54:16	Bruce	Desk6	50000	5000000						3	0.254
2018-03-17T22:24:25	Bruce	Desk6	50000	5000000						3	0.254
2018-08-21T15:38:41	Bruce	Desk6	50000	5000000						3	0.254
2019-11-11T19:13:54	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.254
2019-12-30T03:09:06	TheJudger	myECM	50000	5000000						3	0.254
2019-12-30T05:46:56	cappy95833	HomePC	50000	5000000						3	0.254
2020-01-04T04:30:39	IanGlencross	glenx24	50000	5000000						3	0.254
2020-01-10T19:13:07	EricP	Cannonfodder	50000	5000000						3	0.254
2020-01-19T17:40:27	Yxinity	Olga	50000	5000000						3	0.254
2020-01-24T17:57:36	David_McCann	i5	50000	5000000						3	0.254
2020-02-02T10:43:58	Corey	Computer	50000	5000000						3	0.254
2020-02-10T13:00:36	daveward2005	Davy	50000	5000000						3	0.254
2020-02-17T23:45:23	Nesowa	6700T	50000	5000000						3	0.254
2020-02-25T07:39:24	Alvin Bunk	BADCAT	50000	5000000						3	0.254
2020-03-02T22:57:48	mnd9	kitchen	50000	5000000	6861088852651189179593	72.539	2	2	959105742657655	2	0.169

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-01-29T00:00:00	ANONYMOUS	v4_computers	8E685F028031E38F	0.133

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-03-03T11:58:27

Niels_Mache_Nextcloud

SuperDry-X

6861088852651189179593

7F732E4CC04EA0B5

2020-03-03T12:10:19

Jinyuan Wang

Manual testing

6861088852651189179593

7F732E4CC04EA0B5

2020-03-04T05:43:28

oodaira

com2

6861088852651189179593

7F732E4CC04EA0B5

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 = 4000000, B2 = 200000000 (P-1 stage 2)

B1 = 4000000 (P-1 stage 1)

B1 = 580000, B2 = 15080000 (P-1 stage 2)

B1 = 580000 (P-1 stage 1)

B1 = 202537 (P-1 stage 1)

B1 = 25000, B2 = 418750 (P-1 stage 2)

B1 = 25000 (P-1 stage 1)

B1 = 2000 (P-1 stage 1)

10⁰

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10⁶

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TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-03-04T05:43:28+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