M2223773 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	26.8035	67.6471%	2000000	65000000	0.5179	7.0346%	27.3214	69.9230%	2.2759%
PrimeNet	2⁵⁸	0.0173	62.0690%	10000	180000	0.0018	2.8687%	0.0191	63.1571%	1.0881%
GPU72	2⁶²	0.2763	64.5161%	11000	180000	0.0019	1.6304%	0.2782	65.0947%	0.5785%
Difference	+6	+26.5272	+3.1309%	+1989000	+64820000	+0.5160	+5.4042%	+27.0432	+4.8283%	+4.8283%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2223773	6497636443204631262737	22	72.460	1460948676687016 2³ × 11 × 16601689507807	2021-04-08	11	16601689507807	671.74	86,233	161,060

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-03-27T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.227%
2010-10-21T03:42:00	Oscar Östlin		75011	75011		-		-	-	0.007	-	-	0.675%
2011-01-12T20:45:00	Oscar Östlin		85000	1593750		-		-	-	0.016	-	-	2.176%
2014-05-26T23:57:00	Jocelyn Larouche	Manual testing	113863	113863		-		-	-	0.011	-	-	0.869%
2014-09-29T22:04:00	Jocelyn Larouche	Manual testing	142726	142726		-		-	-	0.014	-	-	0.987%
2015-05-02T12:18:00	Squeeky_Squirrel	P4_2600	160000	4600000		-		-	-	0.038	-	-	3.137%
2015-11-21T11:26:55	Alexander Dubrovin	Manual testing	1000000	5000000	6	-		-	-	0.116	-	-	3.983%
2015-12-22T07:19:43	Alexander Dubrovin	Manual testing	2000000	65000000	12	-		-	-	0.518	-	-	7.035%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-02-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.017	-	-
2016-02-23T16:29:09	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.052	-	-
2009-01-11T13:20:00	Sturle Sunde	buxtehude.ifi	2⁶⁰	2⁶¹		-	-	0.069	-	-
2012-04-19T07:48:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.138	-	-
2013-01-23T08:24:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.441	-	-
2015-03-06T11:15:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.883	-	-
2015-03-06T11:15:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.680	-	-
2015-10-25T20:35:08	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.360	-	-
2016-12-24T00:00:58	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.721	-	-
2019-04-22T13:11:38	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.44	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	13.374 GHz-days
Estimated T-Level:	22.786

Digits	B1	Curves	Complete	FacMiss
20	11000	156 / 100	1.560	20.849%
25	50000	156 / 280	0.557	57.227%

New Calculation Method

Total ECM effort:	13.374 GHz-days
Estimated T-Level:	22.786

Digits	B1	Complete	FacMiss
20	11000	5.032	0.652%
25	50000	0.455	63.457%
30	250000	0.028	97.238%
35	1000000	0.001	99.872%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		149	12.77
50000	5000000	6497636443204631262737	7	0.600

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-11T12:21:00	bayanne	MacBook	50000	5000000						3	0.257
2010-04-23T05:21:00	James Hintz	nana	50000	5000000						3	0.257
2011-09-27T00:49:00	S36049	Wolle5	50000	5000000						3	0.257
2013-06-13T01:15:00	jim f in mn	asus	50000	5000000						3	0.257
2015-03-19T14:48:00	Jason U	Server7	50000	5000000						3	0.257
2015-12-23T12:14:48	Alexander Dubrovin	Manual testing	50000	5000000						3	0.257
2016-03-19T18:28:18	Dave Matthews	VMW7-001	50000	5000000						3	0.257
2016-07-08T05:18:30	Bruce	Desk6	50000	5000000						3	0.257
2016-11-22T23:59:15	Bruce	Desk6	50000	5000000						3	0.257
2017-01-24T23:30:15	Alexander Dubrovin	Manual testing	50000	5000000						1	0.086
2017-08-10T20:10:41	Bruce	Desk6	50000	5000000						3	0.257
2018-01-06T21:57:48	Bruce	Desk6	50000	5000000						3	0.257
2018-06-28T07:55:48	Bruce	Desk6	50000	5000000						3	0.257
2019-08-11T12:09:44	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.257
2020-02-14T15:35:21	EricP	Cannonfodder	50000	5000000						3	0.257
2020-02-22T07:44:30	Keysarecool	i9	50000	5000000						3	0.257
2020-02-28T23:26:55	mnd9	75211backdoorb	50000	5000000						3	0.257
2020-03-06T07:52:31	Nesowa	6700T	50000	5000000						3	0.257
2020-03-13T16:48:25	mnd9	75201b	50000	5000000						3	0.257
2020-03-21T09:10:33	mnd9	kitchen	50000	5000000						3	0.257
2020-04-02T08:21:31	EricP	Cannonfodder	50000	5000000						3	0.257
2020-04-16T06:47:10	Keysarecool	Boat_Anchor	50000	5000000						3	0.257
2020-04-25T13:27:17	mnd9	221Rb	50000	5000000						3	0.257
2020-05-03T17:02:24	mnd9	eileen	50000	5000000						3	0.257
2020-05-15T10:16:18	Keysarecool	HPLaptop	50000	5000000						3	0.257
2020-06-01T18:12:02	daveward2005	MW	50000	5000000						3	0.257
2020-06-21T19:18:10	mnd9	touchdown	50000	5000000						3	0.257
2020-07-01T15:16:01	mnd9	25836b	50000	5000000						3	0.257
2020-07-07T23:15:03	MarkS	laptop64	50000	5000000						3	0.257
2020-07-14T09:54:16	Nesowa	entropy_generator_2	50000	5000000						3	0.257
2020-07-20T19:26:15	GAN	KA-HP	50000	5000000						3	0.257
2020-07-26T13:48:05	GAN	LMS-16	50000	5000000						3	0.257
2020-08-02T21:43:02	GAN	LMS-06	50000	5000000						3	0.257
2020-08-11T06:28:14	mat10243x	K2	50000	5000000						3	0.257
2020-08-26T14:42:58	Chang Chia-Tche	ex-ctcpc	50000	5000000						7	0.600
2020-10-25T08:09:14	daveward2005	Dave2	50000	5000000						7	0.600
2020-11-29T12:45:44	IanGlencross	glenx24	50000	5000000						7	0.600
2020-12-02T01:56:55	Keysarecool	Boat_Anchor	50000	5000000						7	0.600
2021-01-02T13:03:17	Zenzoma	AMD3970X	50000	5000000						7	0.600
2021-02-02T06:33:13	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.600
2021-03-03T11:27:52	daveward2005	Dave2	50000	5000000						7	0.600
2021-04-08T18:25:21	daveward2005	Davy	50000	5000000	6497636443204631262737	72.460	7	2	7400766979317311	7	0.600

date	userid	compid	res64	spent (GHz-days)
1999-03-01T00:00:00	ANONYMOUS	v4_computers	4EFEAD87088036F2	0.146
2018-04-19T11:01:09	kkmrkkblmbrbk	old	4EFEAD87088036F2	0.146

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 = 2000000, B2 = 65000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 1000000, B2 = 5000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 160000, B2 = 4600000 (P-1 stage 2)

B1 = 85000, B2 = 1593750 (P-1 stage 2)

B1 = 160000 (P-1 stage 1)

B1 = 142726 (P-1 stage 1)

B1 = 113863 (P-1 stage 1)

B1 = 85000 (P-1 stage 1)

B1 = 75011 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (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