M1943923 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	30.6622	69.1176%	1943923	194392300	0.9777	8.1737%	31.6399	71.6419%	2.5242%
PrimeNet	2⁵⁸	0.0198	63.7931%	8000	140000	0.0012	2.4653%	0.0209	64.6857%	0.8926%
GPU72	2⁶²	0.3160	66.1290%	8000	90000	0.0010	1.1523%	0.3170	66.5193%	0.3903%
Difference	+6	+30.3461	+2.9886%	+1935923	+194302300	+0.9767	+7.0214%	+31.3228	+5.1225%	+5.1225%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1943923	4750434296172905590567	22	72.009	1221867917652321 3² × 17 × 7986064821257	2020-09-01	17	7986064821257	698.69	34,226	63,925

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-12-12T12:34:00	markr	tiny	275000	6000000		-		-	-	0.046	-	-	3.555%
2015-10-08T14:04:39	Bruno Victal	5820K-linux	500000	15000000	12	-		-	-	0.101	-	-	4.634%
2016-12-16T01:10:44	Jocelyn Larouche	low 4M	568903	568903		-		-	-	0.045	-	-	1.893%
2016-12-17T04:40:29	Jocelyn Larouche	low 4M	682683	682683		-		-	-	0.054	-	-	2.043%
2016-12-24T21:06:40	Jocelyn Larouche	low 4M	819219	819219		-		-	-	0.064	-	-	2.200%
2017-01-04T23:07:23	Jocelyn Larouche	low 4M	983062	983062		-		-	-	0.077	-	-	2.364%
2017-04-13T01:58:15	Jocelyn Larouche	low 4M	1415608	14156080	12	-		-	-	0.166	-	-	5.090%
2018-02-04T03:38:02	Jocelyn Larouche	low 4M	1943923	28312160	12	-		-	-	0.266	-	-	5.980%
2018-02-11T11:28:49	Jocelyn Larouche	low 4M	1943923	56624320	12	-		-	-	0.387	-	-	6.763%
2018-02-28T12:59:34	Jocelyn Larouche	low 4M	1943923	113248640	12	-		-	-	0.630	-	-	7.553%
2018-09-17T11:34:58	Jocelyn Larouche	low 4M	1943923	194392300	12	-		-	-	0.978	-	-	8.174%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-12-21T00:00:00	Ethan O'Connor	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.059	-	-
2010-01-25T10:24:00	S485122	USB-W	2⁶⁰	2⁶¹		-	-	0.079	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.158	-	-
2011-08-27T22:18:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.821	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.505	-	-
2015-05-04T23:08:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	1.010	-	-
2015-05-04T23:09:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.922	-	-
2015-09-06T20:47:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.844	-	-
2017-10-27T12:33:02	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	7.688	-	-
2019-05-11T16:32:14	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	15.38	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.968 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:	18.968 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.470	0.021%
25	50000	0.759	46.828%
30	250000	0.047	95.420%
35	1000000	0.002	99.785%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		141	9.81
50000	5000000	4750434296172905590567	2	0.139
50000	7500000		108	9.022

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-14T02:36:00	Csaba Vágó	home-desktop	50000	5000000						3	0.209
2009-08-11T15:26:00	SubPrime	abd0	50000	5000000						3	0.209
2011-01-09T12:12:00	James Hintz	ryan	50000	5000000						3	0.209
2012-11-21T21:21:00	Donna Noble	PH2x6	50000	5000000						3	0.209
2013-12-24T20:04:00	OS1	L3	50000	5000000						3	0.209
2015-04-17T13:11:00	OS1	L3	50000	5000000						3	0.209
2015-10-20T14:39:28	Chris Smith	starcraft2	50000	5000000						3	0.209
2016-03-20T15:19:32	dragon325	Falken-i7-920	50000	5000000						3	0.209
2016-06-24T03:07:02	Jason U	Server7	50000	5000000						3	0.209
2016-09-28T23:47:43	Bruce	Desk6	50000	5000000						3	0.209
2017-06-03T04:27:19	Bruce	Desk6	50000	5000000						3	0.209
2017-10-02T10:21:35	Bruce	Desk6	50000	5000000						3	0.209
2018-01-02T15:45:02	Bruce	Desk6	50000	5000000						3	0.209
2018-05-23T17:39:08	Bruce	Desk6	50000	5000000						3	0.209
2019-04-13T05:56:36	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.209
2019-12-04T07:20:39	Keysarecool	HPLaptop	50000	5000000						3	0.209
2019-12-09T04:52:32	mnd9	50871b	50000	5000000						3	0.209
2019-12-13T15:52:44	cappy95833	HomePC	50000	5000000						3	0.209
2019-12-18T03:36:40	Nesowa	entropy_generator_2	50000	5000000						3	0.209
2019-12-24T19:09:51	mnd9	colab	50000	5000000						3	0.209
2019-12-29T18:45:09	TheJudger	myECM	50000	5000000						3	0.209
2020-01-03T12:26:07	TheJudger	myECM	50000	5000000						3	0.209
2020-01-11T03:29:50	mnd9	27016	50000	5000000						3	0.209
2020-01-18T07:26:30	daveward2005	Davy	50000	5000000						3	0.209
2020-01-23T15:58:26	IanGlencross	glenx24	50000	5000000						3	0.209
2020-01-31T07:06:31	EricP	Cannonfodder	50000	5000000						3	0.209
2020-02-09T20:38:54	Sergey Nosov	TS140-02	50000	5000000						3	0.209
2020-02-17T05:05:07	mnd9	75201b	50000	5000000						3	0.209
2020-02-24T17:39:13	cappy95833	HomePC	50000	5000000						3	0.209
2020-03-03T23:58:41	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.209
2020-03-08T05:48:57	mnd9	office2	50000	5000000						3	0.209
2020-03-15T16:35:51	Bommer	3770K	50000	5000000						3	0.209
2020-03-24T13:11:15	EricP	Cannonfodder	50000	5000000						3	0.209
2020-04-05T21:41:05	denninosimus	FinChat	50000	5000000						3	0.209
2020-04-20T09:05:15	mnd9	50871b	50000	5000000						3	0.209
2020-04-28T00:04:20	nordi	sweet16	50000	5000000						3	0.209
2020-05-07T18:58:32	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.209
2020-05-20T11:07:26	Sergey Nosov	TS140-02	50000	5000000						3	0.209
2020-06-08T09:58:12	mnd9	25836b	50000	5000000						3	0.209
2020-06-25T04:42:14	LaurV	3tits	50000	5000000						3	0.209
2020-07-03T06:26:29	GAN	PG-MS	50000	5000000						3	0.209
2020-07-09T18:41:27	GAN	PG-HP	50000	5000000						3	0.209
2020-07-15T17:30:39	daveward2005	Dave2	50000	5000000						3	0.209
2020-07-22T10:36:11	GAN	AC-GR	50000	5000000						3	0.209
2020-07-28T08:22:16	GAN	LMS-06	50000	5000000						3	0.209
2020-08-04T19:14:57	GAN	OSB-02	50000	5000000						3	0.209
2020-08-12T21:03:09	GAN	LMS-01	50000	5000000						3	0.209
2020-09-01T22:48:10	GAN	AC-GR	50000	5000000	4750434296172905590567	72.009	2	2	2902204044124704	2	0.139
2022-04-21T11:52:06	TJAOI	Manual testing	50000	7500000						108	9.022

date	userid	compid	res64	spent (GHz-days)
1999-03-01T00:00:00	ANONYMOUS	v4_computers	D2BA61FC6C97D9C8	0.105
2015-06-27T00:56:00	MadPoo	Manual testing	D2BA61FC6C97D9C8	0.105

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 = 1943923, B2 = 194392300 (P-1 stage 2)

B1 = 1943923, B2 = 113248640 (P-1 stage 2)

B1 = 1943923, B2 = 56624320 (P-1 stage 2)

B1 = 1943923, B2 = 28312160 (P-1 stage 2)

B1 = 1415608, B2 = 14156080 (P-1 stage 2)

B1 = 1943923 (P-1 stage 1)

B1 = 1415608 (P-1 stage 1)

B1 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 983062 (P-1 stage 1)

B1 = 819219 (P-1 stage 1)

B1 = 682683 (P-1 stage 1)

B1 = 275000, B2 = 6000000 (P-1 stage 2)

B1 = 568903 (P-1 stage 1)

B1 = 500000 (P-1 stage 1)

B1 = 275000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

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