M2483867 Mersenne number exponent details

is 2 ^2483867 - 1

has 747719 decimal digits

takes 0.172 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	23.9968	67.6471%	2382500	85770100	0.6965	7.5490%	24.6933	70.0894%	2.4423%
PrimeNet	2⁵⁹	0.0309	62.7119%	10000	180000	0.0019	2.5348%	0.0329	63.6570%	0.9452%
GPU72	2⁶³	0.6426	65.0794%	11000	160000	0.0019	1.3803%	0.6445	65.5614%	0.4820%
Difference	+5	+23.3543	+2.5677%	+2371500	+85610100	+0.6946	+6.1687%	+24.0489	+4.5280%	+4.5280%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2483867	1425249003762589439082471583	28	90.203	286901231781449940573 3 × 229 × 5449 × 132059 × 580351169	2020-08-08	132059	580351169	158,043,960	3.1926	5.9394

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	-	-	0.235%
2003-10-31T00:00:00	Team Prime Rib	v4_computers	15000	228750		-		-	-	0.003	-	-	0.786%
2010-11-20T12:25:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.263%
2011-01-21T15:55:00	Oscar Östlin		95000	1947500		-		-	-	0.020	-	-	2.379%
2014-09-03T20:52:00	Jocelyn Larouche	Manual testing	120840	120840		-		-	-	0.012	-	-	0.917%
2014-11-08T13:05:00	mikr	MSI	2382500	85770100		-		-	-	0.697	-	-	7.549%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-05-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.031	-	-
1999-06-15T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.031	-	-
2016-02-23T16:29:15	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.031	-	-
2009-01-15T01:58:00	Sturle Sunde	ghini.ifi	2⁶⁰	2⁶¹		-	-	0.062	-	-
2012-06-09T08:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.124	-	-
2013-01-14T11:53:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.395	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.790	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.504	-	-
2015-10-29T11:36:22	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.009	-	-
2017-07-22T20:28:37	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.017	-	-
2019-06-24T09:35:57	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.03	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	5.970 GHz-days
Estimated T-Level:	3.250

Digits	B1	Curves	Complete	FacMiss
20	11000	65 / 100	0.650	52.034%
25	50000	65 / 280	0.232	79.250%

New Calculation Method

Total ECM effort:	5.970 GHz-days
Estimated T-Level:	3.250

Digits	B1	Complete	FacMiss
20	11000	2.097	12.285%
25	50000	0.190	82.737%
30	250000	0.012	98.840%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		63	5.786
50000	5000000	1425249003762589439082471583	2	0.184

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-05-09T12:59:00	Conductor	home	50000	5000000						3	0.276
2010-03-28T18:39:00	SubPrime	stor	50000	5000000						3	0.276
2012-06-11T02:37:00	Jacques MOLNE	Crazy_64	50000	5000000						3	0.276
2014-02-06T10:17:00	arnaud	srv-630	50000	5000000						3	0.276
2015-07-21T07:51:00	guru	w6	50000	5000000						3	0.276
2016-03-01T09:26:39	S36049	Wolle5	50000	5000000						3	0.276
2016-06-23T16:09:01	lettp	Home	50000	5000000						3	0.276
2017-03-06T02:43:54	Angel Pescador		50000	5000000						3	0.276
2017-08-11T04:51:37	Sebastian Hornbostel	V2	50000	5000000						3	0.276
2017-12-23T19:01:39	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2018-08-01T02:59:23	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2019-10-30T07:04:07	ANONYMOUS	test001	50000	5000000						3	0.276
2020-05-12T06:18:02	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2020-05-27T07:37:32	alpertron	laptop3	50000	5000000						3	0.276
2020-06-15T15:27:20	GAN	PG-HP	50000	5000000						3	0.276
2020-06-30T07:38:38	GAN	KL-SCH09	50000	5000000						3	0.276
2020-07-06T10:58:19	mnd9	25836b	50000	5000000						3	0.276
2020-07-12T16:04:52	mnd9	office2	50000	5000000						3	0.276
2020-07-21T01:41:26	mnd9	office2	50000	5000000						3	0.276
2020-07-24T10:37:51	mat10243x	K2	50000	5000000						3	0.276
2020-07-31T13:23:36	GAN	LMS-04	50000	5000000						3	0.276
2020-08-08T07:27:20	GAN	LMS-14	50000	5000000	1425249003762589439082471583	90.203	2	2	1461544875826623	2	0.184

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-05-16T00:00:00	ANONYMOUS	v4_computers	E09C0B619FAF79F8	0.172
1999-06-15T00:00:00	ANONYMOUS	v4_computers	E09C0B619FAF79F8	0.172
2018-05-30T20:30:23	kkmrkkblmbrbk	old	E09C0B619FAF79F8	0.172

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-08-08T18:03:53

Ensigma

T470

1425249003762589439082471583

9EE00CAA5EA7A3AB

2020-08-08T22:30:07

mnd9

printer

1425249003762589439082471583

9EE00CAA5EA7A3AB

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 = 2382500, B2 = 85770100 (P-1 stage 2)

B1 = 2382500 (P-1 stage 1)

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

B1 = 120840 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

B1 = 15000, B2 = 228750 (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

10⁹

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-08-08T22:30:07+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