M2170573 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	27.4604	67.6471%	5000000	200000000	1.4896	8.9458%	28.9500	70.5413%	2.8942%
PrimeNet	2⁵⁸	0.0177	62.0690%	10000	180000	0.0018	2.8560%	0.0195	63.1523%	1.0833%
GPU72	2⁶²	0.2830	64.5161%	11000	160000	0.0018	1.5674%	0.2849	65.0723%	0.5562%
Difference	+6	+27.1774	+3.1309%	+4989000	+199840000	+1.4877	+7.3784%	+28.6651	+5.4690%	+5.4690%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2170573	799429856178088186537	21	69.438	184151801431716 2² × 3 × 17 × 902704908979	2020-04-27	17	902704908979	87.624	4,688.9	8,757.5

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-03-07T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.226%
2010-11-04T10:39:00	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.198%
2010-11-07T12:40:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.354%
2011-01-15T16:05:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.514%
2011-01-16T05:42:00	markr	tiny	90000	1620000		-		-	-	0.017	-	-	2.203%
2014-06-11T02:10:00	Jocelyn Larouche	Manual testing	119570	119570		-		-	-	0.011	-	-	0.889%
2014-10-03T21:04:00	Jocelyn Larouche	Manual testing	149140	149140		-		-	-	0.014	-	-	1.007%
2015-12-19T12:10:59	HBendtz	Manual testing	700000	21000000	12	-		-	-	0.172	-	-	5.203%
2019-11-03T07:53:54	mikr	MSI	5000000	200000000	12	-		-	-	1.490	-	-	8.946%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-10-11T00:00:00	ANONYMOUS	v4_computers	2⁵⁴	2⁵⁵		-	-	0.001	-	-
1999-01-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.018	-	-
2016-02-23T16:29:07	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.053	-	-
2009-01-05T03:31:00	Sturle Sunde	gonzo.ifi	2⁶⁰	2⁶¹		-	-	0.071	-	-
2009-01-07T20:51:00	Sturle Sunde	gibsy.ifi	2⁶¹	2⁶²		-	-	0.142	-	-
2013-09-09T08:39:00	ramgeis	Manual testing	2⁶²	2⁶³		-	-	0.452	-	-
2015-03-25T10:09:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.905	-	-
2015-03-25T10:09:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.721	-	-
2016-01-02T13:50:56	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.443	-	-
2016-11-14T03:44:00	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.885	-	-
2019-05-06T12:23:33	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.77	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	6.324 GHz-days
Estimated T-Level:	3.700

Digits	B1	Curves	Complete	FacMiss
20	11000	74 / 100	0.740	47.534%
25	50000	74 / 280	0.264	76.739%

New Calculation Method

Total ECM effort:	6.324 GHz-days
Estimated T-Level:	3.700

Digits	B1	Complete	FacMiss
20	11000	2.387	9.190%
25	50000	0.216	80.594%
30	250000	0.013	98.680%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		72	6.153
50000	5000000	799429856178088186537	2	0.171

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-19T15:47:00	Jorge Flora	PC_PJ	50000	5000000						3	0.256
2009-12-03T23:57:00	SubPrime	abd0	50000	5000000						3	0.256
2011-08-25T08:35:00	S36049	Wolle5	50000	5000000						3	0.256
2013-05-08T15:45:00	Xyzzy	J	50000	5000000						3	0.256
2015-02-12T01:08:00	arnaud	CHAMOT22	50000	5000000						3	0.256
2015-10-12T12:34:17	lopper	i5-4670	50000	5000000						3	0.256
2016-03-07T20:27:37	James P McMillan	caturday	50000	5000000						3	0.256
2016-07-02T12:55:51	S36049	Wolle5	50000	5000000						3	0.256
2016-10-15T09:30:36	Bruce	Desk6	50000	5000000						3	0.256
2017-03-31T12:22:56	Bruce	Desk6	50000	5000000						3	0.256
2017-10-27T11:52:59	Bruce	Desk6	50000	5000000						3	0.256
2018-03-04T21:03:21	Bruce	Desk6	50000	5000000						3	0.256
2018-08-15T11:05:01	-Anonymous-	Kitchen	50000	5000000						3	0.256
2020-01-23T15:51:14	mnd9	221Rb	50000	5000000						3	0.256
2020-02-09T13:58:21	Keysarecool	i9	50000	5000000						3	0.256
2020-02-17T03:43:23	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.256
2020-02-24T04:07:25	Nesowa	6700T	50000	5000000						3	0.256
2020-03-02T02:01:05	mnd9	colab2	50000	5000000						3	0.256
2020-03-07T23:53:54	MarkS	desktop-i7	50000	5000000						3	0.256
2020-03-15T19:37:14	mnd9	office2	50000	5000000						3	0.256
2020-03-25T00:00:55	kracker	O0	50000	5000000						3	0.256
2020-04-02T06:03:01	Keysarecool	HPLaptop	50000	5000000						3	0.256
2020-04-05T20:31:38	ANONYMOUS	PC136	50000	5000000						3	0.256
2020-04-19T17:38:39	EricP	Cannonfodder	50000	5000000						3	0.256
2020-04-27T15:01:01	mnd9	eileen	50000	5000000	799429856178088186537	69.438	2	2	4519829844260610	2	0.171

date	userid	compid	res64	spent (GHz-days)
1999-01-29T00:00:00	ANONYMOUS	v4_computers	0515448232DF25D6	0.143
2018-04-12T01:18:54	kkmrkkblmbrbk	old	0515448232DF25D6	0.143

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 = 5000000, B2 = 200000000 (P-1 stage 2)

B1 = 5000000 (P-1 stage 1)

B1 = 700000, B2 = 21000000 (P-1 stage 2)

B1 = 700000 (P-1 stage 1)

B1 = 90000, B2 = 1620000 (P-1 stage 2)

B1 = 149140 (P-1 stage 1)

B1 = 119570 (P-1 stage 1)

B1 = 90000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 30000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

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

B1 = 2048 (P-1 stage 1)

10⁰

10¹

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10⁶

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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