M2442289 Mersenne number exponent details

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M2442289

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>>>

is 2 ^2442289 - 1

has 735203 decimal digits

takes 0.165 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

	Residue	Status
L-L	E1501C60010759FA	double-checked
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	2⁶⁸	24.4053	67.6471%	1172000	48000000	0.3647	6.4334%	24.7701	69.7285%	2.0814%
PrimeNet	2⁵⁹	0.0314	62.7119%	10000	180000	0.0019	2.5268%	0.0333	63.6540%	0.9422%
GPU72	2⁶³	0.6535	65.0794%	10000	150000	0.0017	1.3068%	0.6552	65.5357%	0.4563%
Difference	+5	+23.7518	+2.5677%	+1162000	+47850000	+0.3630	+5.1267%	+24.1148	+4.1928%	+4.1928%

Known prime factors (1 factor, 78.6 bits, 0.00321919% 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
2442289	465122005076461683653761	24	78.622	95222556600889920 2⁶ × 3 × 5 × 4015199 × 24703673	2020-04-25	4015199	24703673	40,365	0.5037	0.8005

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-14T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.233%
2003-10-31T00:00:00	Team Prime Rib	v4_computers	15000	217500		-		-	-	0.003	-	-	0.771%
2010-11-17T22:12:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.262%
2011-01-12T14:29:00	Oscar Östlin		95000	1947500		-		-	-	0.019	-	-	2.372%
2014-01-19T22:54:00	mikr	MSI	1172000	48000000		-		-	-	0.365	-	-	6.433%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-06-14T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.016	-	-
1999-03-15T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.031	-	-
2016-02-23T16:29:14	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.031	-	-
2009-01-15T03:35:00	Sturle Sunde	homilius.ifi	2⁶⁰	2⁶¹		-	-	0.063	-	-
2012-06-06T17:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.126	-	-
2013-12-04T21:13:00	Jerry Hallett	Manual testing	2⁶²	2⁶³		-	-	0.402	-	-
2015-02-27T20:41:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.804	-	-
2015-02-27T20:41:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.530	-	-
2015-10-25T20:35:02	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.060	-	-
2017-07-12T11:35:13	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.119	-	-
2019-04-22T13:11:32	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.24	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	3.480 GHz-days
Estimated T-Level:	1.950

Digits	B1	Curves	Complete	FacMiss
20	11000	39 / 100	0.390	67.573%
25	50000	39 / 280	0.139	86.976%

New Calculation Method

Total ECM effort:	3.480 GHz-days
Estimated T-Level:	1.950

Digits	B1	Complete	FacMiss
20	11000	1.258	28.420%
25	50000	0.114	89.252%
30	250000	0.007	99.302%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		36	3.213
50000	5000000	465122005076461683653761	3	0.268

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-07T05:12:00	Martti Järvi	SKYNET	50000	5000000						3	0.268
2010-03-09T14:25:00	SubPrime	abd0	50000	5000000						3	0.268
2012-04-14T16:45:00	S36049	Wolle5	50000	5000000						3	0.268
2013-12-26T23:15:00	arnaud	srv-630	50000	5000000						3	0.268
2015-07-07T04:13:00	guru	w6	50000	5000000						3	0.268
2016-04-24T06:36:48	Bruce	Desk6	50000	5000000						3	0.268
2016-06-15T10:09:32	Bruce	Desk6	50000	5000000						3	0.268
2016-10-23T06:47:40	Bruce	Desk6	50000	5000000						3	0.268
2017-04-27T09:54:09	Bruce	Desk6	50000	5000000						3	0.268
2017-11-26T10:53:32	Bruce	Desk6	50000	5000000						3	0.268
2018-05-13T03:28:27	Bruce	Desk6	50000	5000000						3	0.268
2019-06-04T00:45:36	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.268
2020-04-25T20:42:08	mnd9	office2	50000	5000000	465122005076461683653761	78.622	3	2	1200645861321190	3	0.268

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-06-14T00:00:00	ANONYMOUS	v4_computers	E1501C60010759FA	0.165
1999-08-31T00:00:00	Stephen Wood	v4_computers	E1501C60010759FA	0.165
1999-09-07T00:00:00	Stephen Wood	v4_computers	E1501C60010759FA	0.165

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-04-26T03:32:23

CrypticClue

cruncher

465122005076461683653761

FD6EC6525859EE59

2020-04-26T06:54:54

atrench

Desktop

465122005076461683653761

FD6EC6525859EE59

2020-04-28T08:52:33

arnaud

stm-11-010

465122005076461683653761

FD6EC6525859EE59

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 = 1172000, B2 = 48000000 (P-1 stage 2)

B1 = 1172000 (P-1 stage 1)

B1 = 95000, B2 = 1947500 (P-1 stage 2)

B1 = 95000 (P-1 stage 1)

B1 = 15000, B2 = 217500 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

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

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁹

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-04-28T08:52:33+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