M2036449 Mersenne number exponent details

is 2 ^2036449 - 1

has 613033 decimal digits

takes 0.134 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	2⁶⁹	58.6250	69.5652%	4000000	200000000	1.3994	8.0935%	60.0244	72.0285%	2.4632%
PrimeNet	2⁵⁸	0.0189	63.7931%	9000	160000	0.0016	2.6623%	0.0205	64.7570%	0.9639%
GPU72	2⁶²	0.3017	66.1290%	9000	120000	0.0014	1.3285%	0.3031	66.5790%	0.4500%
Difference	+7	+58.3233	+3.4362%	+3991000	+199880000	+1.3980	+6.7650%	+59.7213	+5.4495%	+5.4495%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-02-24T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.178%
2009-02-05T07:14:00	markr	Manual testing	100000	3000000		-		-	-	0.025	-	-	2.288%
2014-07-04T02:22:00	Jocelyn Larouche	Manual testing	131518	131518		-		-	-	0.013	-	-	0.808%
2014-10-17T00:38:00	Jocelyn Larouche	Manual testing	163036	163036		-		-	-	0.016	-	-	0.913%
2015-10-05T14:53:21	Bruno Victal	4790K-windows	500000	15000000	12	-		-	-	0.123	-	-	4.225%
2019-05-26T21:34:14	mikr	MSI	4000000	200000000	12	-		-	-	1.399	-	-	8.093%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-10T00:00:00	S00030	v4_computers	2¹	2⁵⁸		-	-	0.019	-	-
2016-02-23T16:29:04	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.057	-	-
2009-01-02T16:20:00	Sturle Sunde	giasha.ifi	2⁶⁰	2⁶¹		-	-	0.075	-	-
2012-02-10T21:47:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.151	-	-
2013-08-29T08:26:00	ramgeis	Manual testing	2⁶²	2⁶³		-	-	0.482	-	-
2015-04-13T20:09:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.964	-	-
2015-04-13T20:09:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.835	-	-
2015-11-01T21:50:57	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.669	-	-
2016-07-29T19:18:38	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	7.339	-	-
2019-03-20T02:02:09	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	14.68	-	-
2021-07-29T11:14:47	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	29.36	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.126 GHz-days
Estimated T-Level:	23.571

Digits	B1	Curves	Complete	FacMiss
20	11000	200 / 100	2.000	13.398%
25	50000	200 / 280	0.714	48.892%

New Calculation Method

Total ECM effort:	17.126 GHz-days
Estimated T-Level:	23.571

Digits	B1	Complete	FacMiss
20	11000	7.731	0.044%
25	50000	0.716	48.869%
30	250000	0.045	95.574%
35	1000000	0.002	99.788%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	192	16.28
50000	5400000	7	0.613
76620	23259610	1	0.237

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-04T06:25:00	firehawk	cidnp2	50000	5000000						3	0.254
2009-09-15T16:21:00	SubPrime	stor	50000	5000000						3	0.254
2011-02-26T14:13:00	Lupo	yorick	50000	5000000						3	0.254
2013-02-26T15:21:00	Donna Noble	opt4820	50000	5000000						3	0.254
2014-03-21T03:15:00	Bruce	snowflake	50000	5000000						3	0.254
2015-07-07T15:11:00	nranks	wlaptop	50000	5000000						3	0.254
2016-01-14T11:09:56	mikr	MSI	50000	5000000						12	1.017
2017-05-18T21:56:02	Bruce	Desk6	50000	5000000						3	0.254
2017-11-19T22:57:00	Bruce	Desk6	50000	5000000						3	0.254
2018-03-27T03:45:22	Bruce	Desk6	50000	5000000						3	0.254
2018-09-09T04:56:10	Bruce	Desk6	50000	5000000						3	0.254
2019-12-22T03:33:58	mnd9	touchdown	50000	5000000						3	0.254
2019-12-28T07:39:50	Keysarecool	Boat_Anchor	50000	5000000						3	0.254
2020-01-01T18:27:22	Keysarecool	HPLaptop	50000	5000000						3	0.254
2020-01-07T20:17:22	Brett Walker	brain	50000	5000000						3	0.254
2020-01-28T16:39:15	Yuji HASEGAWA	sx1w7	50000	5000000						3	0.254
2020-02-06T04:52:33	daveward2005	Davy	50000	5000000						3	0.254
2020-02-13T19:59:42	Keysarecool	i9	50000	5000000						3	0.254
2020-02-21T07:51:00	Keysarecool	i9	50000	5000000						3	0.254
2020-02-27T18:21:44	EricP	Cannonfodder	50000	5000000						3	0.254
2020-03-05T18:31:30	mnd9	office2	50000	5000000						3	0.254
2020-03-12T18:30:04	mnd9	75201b	50000	5000000						3	0.254
2020-03-20T10:45:32	kracker	O0	50000	5000000						3	0.254
2020-03-21T08:04:04	Keysarecool	HPLaptop	50000	5000000						3	0.254
2020-04-01T15:25:52	cappy95833	HomePC	50000	5000000						3	0.254
2020-04-14T10:14:39	mnd9	fb	50000	5000000						3	0.254
2020-04-26T16:08:04	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.254
2020-05-02T16:56:58	mnd9	libproj	50000	5000000						3	0.254
2020-05-03T04:02:09	mnd9	221Rb	50000	5000000						3	0.254
2020-05-14T19:08:56	mnd9	50871b	50000	5000000						3	0.254
2020-06-01T17:51:25	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.254
2020-06-20T11:10:32	daveward2005	Davy	50000	5000000						3	0.254
2020-06-30T08:42:14	GAN	OSB-02	50000	5000000						3	0.254
2020-07-07T05:56:46	GAN	LMS-06	50000	5000000						3	0.254
2020-07-14T01:50:20	Oliver Kruse	Krusen-NAS	50000	5000000						3	0.254
2020-07-19T15:39:19	lycorn	colab_A	50000	5000000						3	0.254
2020-07-25T23:51:50	daveward2005	Dave2	50000	5000000						3	0.254
2020-08-02T05:10:28	IanGlencross	glenx24	50000	5000000						3	0.254
2020-08-09T20:28:08	GAN	LMS-03	50000	5000000						3	0.254
2020-08-11T08:30:13	mnd9	75211front	50000	5000000						3	0.254
2020-09-26T22:19:53	Brett Walker	brain	50000	5000000						7	0.593
2020-10-17T07:09:53	Leo Custodio	GCP-013	50000	5000000						7	0.593
2020-11-07T13:12:16	Bruno Victal	Manual testing	76620	23259610						1	0.237
2020-11-18T10:20:07	Keysarecool	Boat_Anchor	50000	5000000						7	0.593
2020-12-26T14:01:20	daveward2005	MW	50000	5000000						7	0.593
2021-01-26T14:17:28	daveward2005	MW	50000	5000000						7	0.593
2021-02-25T06:12:11	daveward2005	Dave2	50000	5000000						7	0.593
2021-03-28T17:12:31	tottenhoff	Garage-Band-003	50000	5000000						7	0.593
2021-05-13T02:22:06	kutens	arcturus	50000	5400000						7	0.613
2021-06-27T06:22:20	Jaytholomew	Jaytholomew	50000	5000000						7	0.593
2021-10-11T21:51:20	EthanD	Diophantus_Linux	50000	5000000						7	0.593

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-01-10T00:00:00	S00030	v4_computers	64795D4B05C82047	0.134
2016-07-15T18:03:08	Mark Rose	raphael	64795D4B05C82047	0.134

PRP results:
No PRP results for M2036449

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 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 100000, B2 = 3000000 (P-1 stage 2)

B1 = 163036 (P-1 stage 1)

B1 = 131518 (P-1 stage 1)

B1 = 100000 (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:

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-10-11T21:51:20+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