M1939237 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	30.7363	69.1176%	8000000	320000000	1.9665	9.7482%	32.7027	72.1281%	3.0105%
PrimeNet	2⁵⁸	0.0198	63.7931%	8000	140000	0.0012	2.4641%	0.0210	64.6853%	0.8922%
GPU72	2⁶²	0.3168	66.1290%	8000	90000	0.0010	1.1517%	0.3178	66.5191%	0.3901%
Difference	+6	+30.4194	+2.9886%	+7992000	+319910000	+1.9655	+8.5964%	+32.3849	+5.6090%	+5.6090%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1939237	150929550466043110769641	24	76.998	38914673777893860 2² × 3 × 5 × 47 × 13799529708473	2021-03-04	47	13799529708473	13,324	59,141	110,460

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2012-01-27T22:23:00	markr	tiny	275000	6000000		-		-	-	0.046	-	-	3.554%
2015-10-08T11:25:48	Bruno Victal	5820K-linux	500000	15000000	12	-		-	-	0.101	-	-	4.632%
2016-12-16T01:10:43	Jocelyn Larouche	low 4M	568903	568903		-		-	-	0.045	-	-	1.892%
2016-12-18T04:24:51	Jocelyn Larouche	low 4M	682683	682683		-		-	-	0.054	-	-	2.042%
2016-12-24T21:06:39	Jocelyn Larouche	low 4M	819219	819219		-		-	-	0.064	-	-	2.200%
2017-01-04T23:07:21	Jocelyn Larouche	low 4M	983062	983062		-		-	-	0.077	-	-	2.363%
2017-01-22T06:40:05	Jocelyn Larouche	low 4M	1179674	1179674		-		-	-	0.093	-	-	2.533%
2017-04-13T01:58:13	Jocelyn Larouche	low 4M	1415608	14156080	12	-		-	-	0.166	-	-	5.088%
2018-02-04T03:38:01	Jocelyn Larouche	low 4M	1939237	28312160	12	-		-	-	0.266	-	-	5.978%
2018-02-10T08:10:28	mikr	S062	8000000	320000000	12	-		-	-	1.966	-	-	9.748%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-12-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.059	-	-
2010-01-30T02:31:00	S485122	USB-W	2⁶⁰	2⁶¹		-	-	0.079	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.158	-	-
2011-08-27T22:21:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.823	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.506	-	-
2015-05-07T11:40:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	1.012	-	-
2015-05-07T11:40:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.927	-	-
2015-09-05T13:49:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.853	-	-
2017-12-11T15:41:32	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	7.707	-	-
2019-05-10T20:32:08	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	15.41	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.319 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:	18.319 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.311	0.025%
25	50000	0.747	47.368%
30	250000	0.046	95.494%
35	1000000	0.002	99.789%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		183	12.72
50000	5000000	150929550466043110769641	6	0.417
50000	7500000		62	5.177

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-13T19:53:00	Chang Chia-Tche	euler12	50000	5000000						3	0.209
2009-08-09T02:14:00	SubPrime	mysql0	50000	5000000						3	0.209
2011-01-09T10:10:00	Csaba Vágó	timigep	50000	5000000						3	0.209
2012-11-21T02:21:00	Donna Noble	Opt6128x4x4	50000	5000000						3	0.209
2013-12-19T00:00:00	OS1	L3	50000	5000000						3	0.209
2015-04-05T00:15:00	arnaud	CHAMOT22	50000	5000000						3	0.209
2015-10-18T19:19:07	Sara	Sara	50000	5000000						3	0.209
2016-03-14T08:11:00	Jason U	Server7	50000	5000000						3	0.209
2016-06-22T20:42:47	Bruce	Desk6	50000	5000000						3	0.209
2016-09-23T19:58:45	ANONYMOUS	Gorby	50000	5000000						3	0.209
2017-06-01T17:38:57	Bruce	Desk6	50000	5000000						3	0.209
2017-10-01T02:29:17	Bruce	Desk6	50000	5000000						3	0.209
2017-12-30T11:31:23	Bruce	Desk6	50000	5000000						3	0.209
2018-05-16T12:36:31	Bruce	Desk6	50000	5000000						3	0.209
2019-04-12T10:22:57	zar	eng1	50000	5000000						3	0.209
2019-12-03T04:48:28	George Woltman	colab	50000	5000000						3	0.209
2019-12-07T11:11:14	Keysarecool	Boat_Anchor	50000	5000000						3	0.209
2019-12-12T02:15:53	Keysarecool	Boat_Anchor	50000	5000000						3	0.209
2019-12-19T18:06:43	nranks	wlaptop	50000	5000000						3	0.209
2019-12-22T21:10:15	Sergey Nosov	TS140-02	50000	5000000						3	0.209
2019-12-29T02:06:06	Alvin Bunk	BADCAT	50000	5000000						3	0.209
2020-01-02T05:00:25	TheJudger	myECM	50000	5000000						3	0.209
2020-01-09T06:08:09	Corey	Computer	50000	5000000						3	0.209
2020-01-18T09:07:51	mnd9	touchdown	50000	5000000						3	0.209
2020-01-22T12:55:37	David_McCann	i5	50000	5000000						3	0.209
2020-01-29T08:26:50	daveward2005	MW	50000	5000000						3	0.209
2020-02-07T05:18:07	EricP	Cannonfodder	50000	5000000						3	0.209
2020-02-16T19:28:24	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.209
2020-02-22T18:33:14	mnd9	libproj	50000	5000000						3	0.209
2020-03-04T00:15:06	mnd9	75201b	50000	5000000						3	0.209
2020-03-06T15:23:22	mnd9	75201b	50000	5000000						3	0.209
2020-03-13T14:26:28	mnd9	office2	50000	5000000						3	0.209
2020-03-21T11:28:03	mnd9	kitchen	50000	5000000						3	0.209
2020-04-02T16:13:58	Keysarecool	Boat_Anchor	50000	5000000						3	0.209
2020-04-16T17:16:56	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.209
2020-04-25T21:55:17	nordi	sweet16	50000	5000000						3	0.209
2020-05-04T08:35:39	mnd9	libproj	50000	5000000						3	0.209
2020-05-15T07:39:11	Summy	CHB	50000	5000000						3	0.209
2020-06-02T07:11:21	daveward2005	MW	50000	5000000						3	0.209
2020-06-21T21:35:52	mnd9	touchdown	50000	5000000						3	0.209
2020-07-01T16:08:37	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.209
2020-07-08T04:11:51	daveward2005	Davy	50000	5000000						3	0.209
2020-07-14T03:46:50	GAN	LMS-15	50000	5000000						3	0.209
2020-07-20T06:42:06	Ahmed Azhad	c5.large.az	50000	5000000						3	0.209
2020-07-27T02:13:38	Sergey Nosov	TS140-02	50000	5000000						3	0.209
2020-08-03T00:04:35	GAN	LMS-04	50000	5000000						3	0.209
2020-08-10T20:10:05	IanGlencross	glenx24	50000	5000000						3	0.209
2020-08-26T20:59:48	Chang Chia-Tche	ex-ctcpc	50000	5000000						7	0.487
2020-09-29T15:59:18	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.487
2020-11-29T23:26:46	Zenzoma	i7-6820HQ	50000	5000000						7	0.487
2020-12-24T12:09:15	Zenzoma	AMD3970X	50000	5000000						7	0.487
2021-01-02T18:40:04	Zenzoma	AMD3970X	50000	5000000						7	0.487
2021-02-02T13:16:19	Zenzoma	AMD3970X	50000	5000000						7	0.487
2021-03-04T06:49:55	mnd9	office2	50000	5000000	150929550466043110769641	76.998	6	2	1414268447278440	6	0.417
2022-03-31T09:34:16	TJAOI	Manual testing	50000	7500000						62	5.177

date	userid	compid	res64	spent (GHz-days)
1998-12-21T00:00:00	ANONYMOUS	v4_computers	7028B01007D45722	0.105
2015-07-12T18:10:00	MadPoo	Manual testing	7028B01007D45722	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 = 8000000, B2 = 320000000 (P-1 stage 2)

B1 = 8000000 (P-1 stage 1)

B1 = 1939237, B2 = 28312160 (P-1 stage 2)

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

B1 = 1939237 (P-1 stage 1)

B1 = 1415608 (P-1 stage 1)

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

B1 = 1179674 (P-1 stage 1)

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

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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