M2248739 Mersenne number exponent details

is 2 ^2248739 - 1

has 676938 decimal digits

takes 0.148 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	26.5059	67.6471%	1000000	20000000	0.1940	5.3746%	26.6999	69.3859%	1.7388%
PrimeNet	2⁵⁸	0.0171	62.0690%	10000	180000	0.0018	2.8746%	0.0189	63.1593%	1.0904%
GPU72	2⁶²	0.2732	64.5161%	11000	190000	0.0020	1.6598%	0.2752	65.1051%	0.5889%
Difference	+6	+26.2327	+3.1309%	+989000	+19810000	+0.1920	+3.7148%	+26.4248	+4.2808%	+4.2808%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2248739	52641467512136389138103	23	75.479	11704663705333609 11704663705333609	2020-04-23	1	11704663705333609	4,941.4	60,796,949	113,551,771

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-04-03T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.228%
2010-11-06T12:26:00	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.200%
2010-11-11T19:55:00	Oscar Östlin		75011	75011		-		-	-	0.007	-	-	0.676%
2011-01-14T11:41:00	Oscar Östlin		85000	1636250		-		-	-	0.016	-	-	2.194%
2014-06-01T23:28:00	Jocelyn Larouche	Manual testing	113542	113542		-		-	-	0.011	-	-	0.869%
2014-10-03T21:04:00	Jocelyn Larouche	Manual testing	142084	142084		-		-	-	0.014	-	-	0.987%
2015-12-06T08:24:55	Alexander Dubrovin	Manual testing	1000000	20000000	12	-		-	-	0.194	-	-	5.375%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-02-07T00:00:00	Ed Straker	v4_computers	2¹	2⁵⁸		-	-	0.017	-	-
1999-08-07T00:00:00	Ed Straker	v4_computers	2¹	2⁵⁸		-	-	0.017	-	-
2016-02-23T16:29:10	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.051	-	-
2009-01-10T22:55:00	Sturle Sunde	wright.ifi	2⁶⁰	2⁶¹		-	-	0.068	-	-
2012-05-04T08:48:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.137	-	-
2013-01-23T08:24:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.437	-	-
2015-03-10T10:44:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.873	-	-
2015-03-10T10:44:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.662	-	-
2015-10-27T09:37:30	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.323	-	-
2017-01-13T17:42:43	Conductor	Manual testing	2⁶⁶	2⁶⁷		-	-	6.646	-	-
2019-03-25T14:11:05	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.29	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	5.409 GHz-days
Estimated T-Level:	3.150

Digits	B1	Curves	Complete	FacMiss
20	11000	63 / 100	0.630	53.091%
25	50000	63 / 280	0.225	79.819%

New Calculation Method

Total ECM effort:	5.409 GHz-days
Estimated T-Level:	3.150

Digits	B1	Complete	FacMiss
20	11000	2.032	13.104%
25	50000	0.184	83.221%
30	250000	0.011	98.875%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		60	5.152
50000	5000000	52641467512136389138103	3	0.258

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-04T18:57:00	CanSpice	hapuu	50000	5000000						3	0.258
2009-12-29T02:07:00	Dmitry B. Khachaturov	mgp1-1	50000	5000000						3	0.258
2011-10-19T01:16:00	S36049	Wolle5	50000	5000000						3	0.258
2013-07-15T05:59:00	hiems	Laptop	50000	5000000						3	0.258
2015-04-01T04:15:00	S36049	Wolle6	50000	5000000						3	0.258
2016-02-04T06:57:14	Syntony	Geomancer	50000	5000000						3	0.258
2016-03-28T20:41:52	Bruce	Desk6	50000	5000000						3	0.258
2016-07-17T11:31:18	Bruce	Desk6	50000	5000000						3	0.258
2016-12-03T18:31:52	Bruce	Desk6	50000	5000000						3	0.258
2017-06-28T05:19:22	Bruce	Desk6	50000	5000000						3	0.258
2017-12-12T15:04:51	Sebastian Hornbostel	V2	50000	5000000						3	0.258
2018-05-16T10:25:33	Bruce	Desk6	50000	5000000						3	0.258
2019-04-22T20:39:10	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.258
2020-02-25T21:47:11	SXS2297	M-Laptop	50000	5000000						3	0.258
2020-02-27T07:48:28	mnd9	75202b	50000	5000000						3	0.258
2020-03-05T07:23:52	mnd9	75201b	50000	5000000						3	0.258
2020-03-11T19:58:43	daveward2005	MW	50000	5000000						3	0.258
2020-03-19T08:05:13	Keysarecool	Boat_Anchor	50000	5000000						3	0.258
2020-03-30T23:52:04	mnd9	eileen	50000	5000000						3	0.258
2020-04-13T11:01:44	mnd9	libproj	50000	5000000						3	0.258
2020-04-23T21:22:06	mnd9	fb	50000	5000000	52641467512136389138103	75.479	3	2	8803631337653677	3	0.258

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-03-01T00:00:00	Ed Straker	v4_computers	72EF05C506C2531B	0.148
1999-08-07T00:00:00	Ed Straker	v4_computers	72EF05C506C2531B	0.148
2018-04-22T21:46:46	kkmrkkblmbrbk	old	72EF05C506C2531B	0.148

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-04-23T21:46:41

ATH

ec2-PRPCF

52641467512136389138103

566DF7A3F974CBC3

2020-04-24T01:30:44

atrench

Desktop

52641467512136389138103

566DF7A3F974CBC3

2020-04-26T19:00:54

GAN

KL-SCH05

52641467512136389138103

566DF7A3F974CBC3

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 = 1000000, B2 = 20000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 85000, B2 = 1636250 (P-1 stage 2)

B1 = 142084 (P-1 stage 1)

B1 = 113542 (P-1 stage 1)

B1 = 85000 (P-1 stage 1)

B1 = 75011 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

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10¹⁷

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-04-26T19:00:54+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