M1833427 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	32.5101	69.1176%	1833427	183342700	0.9221	8.0141%	33.4322	71.5926%	2.4749%
PrimeNet	2⁵⁷	0.0105	63.1579%	8000	150000	0.0012	2.8801%	0.0117	64.2190%	1.0611%
GPU72	2⁶¹	0.1675	65.5738%	9000	140000	0.0013	1.5952%	0.1688	66.1229%	0.5492%
Difference	+7	+32.3425	+3.5439%	+1824427	+183202700	+0.9209	+6.4189%	+33.2634	+5.4696%	+5.4696%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1833427	518652306688762191496751	24	78.779	141443402624910125 5³ × 19 × 59555116894699	2020-03-16	125	59555116894699	63,779	255,238	476,714
1833427	5955534148259630459085112049	28	92.266	1624153606404735628712 2³ × 7 × 16741 × 1732437905233447	2021-05-21	16741	1732437905233447	842,123,704	7,424,796	13,867,451

exponent	prime factors	composite factor	digits	bits*
1833427	518652306688762191496751 5955534148259630459085112049	30888515235585499758013714700141523145307278544527 99	52	171.045

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-07T12:43:00	Carsten Kossendey	leela	100000	1675000		-		-	-	0.015	-	-	2.210%
2014-05-19T21:00:00	Jocelyn Larouche	Manual testing	135008	135008		-		-	-	0.011	-	-	0.924%
2014-09-22T21:00:00	Jocelyn Larouche	Manual testing	170016	170016		-		-	-	0.013	-	-	1.050%
2015-06-25T14:38:00	mikr	MSI	2780000	91760000		-		-	-	0.600	-	-	7.491%
2018-08-17T12:06:11	Jocelyn Larouche	low 4M	1833427	93504777	12	-		-	-	0.537	-	-	7.251%
2018-09-12T11:57:13	Jocelyn Larouche	low 4M	1833427	183342700	12	-		-	-	0.922	-	-	8.014%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-16T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.021	-	-
2016-02-23T16:28:54	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.063	-	-
2010-04-18T22:56:00	Architects Cubed	a3_lm	2⁶⁰	2⁶¹		-	-	0.084	-	-
2016-02-23T16:28:54	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.168	-	-
2011-01-21T16:11:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.871	-	-
2016-02-23T16:28:54	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.535	-	-
2015-04-26T11:10:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.071	-	-
2015-04-26T11:10:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.038	-	-
2015-09-04T17:59:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.076	-	-
2018-02-26T10:32:50	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.152	-	-
2019-06-24T09:36:03	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	16.30	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.563 GHz-days
Estimated T-Level:	24.482

Digits	B1	Curves	Complete	FacMiss
20	11000	251 / 100	2.510	8.025%
25	50000	251 / 280	0.896	40.737%

New Calculation Method

Total ECM effort:	18.563 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.406	0.022%
25	50000	0.761	46.724%
30	250000	0.047	95.409%
35	1000000	0.002	99.784%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		111	7.668
50000	5000000	518652306688762191496751	1	0.069
50000	6600000		50	3.894
50000	6600000	5955534148259630459085112049	89	6.932

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-10-04T08:26:00	James Heinrich	Q6600	50000	5000000						3	0.207
2009-07-16T05:02:00	James Hintz	13_071509	50000	5000000						3	0.207
2010-11-17T17:12:00	Csaba Vágó	timigep	50000	5000000						3	0.207
2012-08-03T12:55:00	vichico	NEO3	50000	5000000						3	0.207
2013-08-27T05:37:00	OS1	L3	50000	5000000						3	0.207
2014-05-08T05:40:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-10-31T19:09:00	mikr	MSI	50000	5000000						12	0.829
2016-05-31T08:42:44	Dennis Schreiber	z800	50000	5000000						3	0.207
2016-09-05T10:26:43	Bruce	DESK3	50000	5000000						3	0.207
2016-11-13T15:55:25	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2017-01-11T20:02:13	Bruce	DESK3	50000	5000000						3	0.207
2017-05-07T04:26:10	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2017-12-06T16:15:43	Bruce	DESK3	50000	5000000						3	0.207
2018-02-09T02:01:10	Bruce	DESK3	50000	5000000						3	0.207
2019-11-22T20:08:44	DevilDawg93	Old_gaming_comp	50000	5000000						3	0.207
2019-11-25T08:51:04	J.R. Allen	lapdell	50000	5000000						3	0.207
2019-11-27T13:38:05	Keysarecool	HPLaptop	50000	5000000						3	0.207
2019-12-01T13:43:29	Keysarecool	HPLaptop	50000	5000000						3	0.207
2019-12-04T22:44:08	J.R. Allen	lapacer	50000	5000000						3	0.207
2019-12-09T15:13:09	J.R. Allen	lapdell	50000	5000000						3	0.207
2019-12-15T07:39:47	Corey	Computer	50000	5000000						3	0.207
2019-12-19T14:56:00	mnd9	colab	50000	5000000						3	0.207
2019-12-25T10:51:35	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.207
2019-12-30T10:11:04	TheJudger	myECM	50000	5000000						3	0.207
2020-01-10T10:52:45	Bommer	3770K	50000	5000000						3	0.207
2020-01-20T22:40:21	Claude Portenier	Petit-Idiot	50000	5000000						3	0.207
2020-01-24T13:48:44	mnd9	221Rb	50000	5000000						3	0.207
2020-02-11T16:24:19	cappy95833	HomePC	50000	5000000						3	0.207
2020-02-12T17:52:34	mnd9	office2	50000	5000000						3	0.207
2020-02-17T21:54:59	Keysarecool	Boat_Anchor	50000	5000000						3	0.207
2020-02-25T05:24:22	mnd9	75201b	50000	5000000						3	0.207
2020-03-03T09:04:49	mnd9	kitchen	50000	5000000						3	0.207
2020-03-09T16:02:43	mnd9	75211backdoorb	50000	5000000						3	0.207
2020-03-14T09:10:02	mnd9	office2	50000	5000000						3	0.207
2020-03-16T18:54:31	MarkS	laptop64	50000	5000000	518652306688762191496751	78.779	1	2	1515412199523173	1	0.069
2021-05-21T15:32:34	TJAOI	Manual testing	50000	6600000	5955534148259630459085112049	92.266	89	2		89	6.932
2021-05-21T15:32:34	TJAOI	Manual testing	50000	6600000						50	3.894

date	userid	compid	res64	spent (GHz-days)
1999-06-26T00:00:00	ANONYMOUS	v4_computers	A2BB92C373DAB424	0.099
2015-07-18T18:30:00	MadPoo	Manual testing	A2BB92C373DAB424	0.099

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 = 1833427, B2 = 183342700 (P-1 stage 2)

B1 = 2780000, B2 = 91760000 (P-1 stage 2)

B1 = 1833427, B2 = 93504777 (P-1 stage 2)

B1 = 2780000 (P-1 stage 1)

B1 = 1833427 (P-1 stage 1)

B1 = 100000, B2 = 1675000 (P-1 stage 2)

B1 = 170016 (P-1 stage 1)

B1 = 135008 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

10¹

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10⁶

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10³

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10⁸

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10¹⁰

10¹¹

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10¹³

10¹⁴

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10¹⁶

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