M1794217 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	2⁶⁷	16.5609	68.6567%	3642200	123456789	0.8000	8.6562%	17.3609	71.3698%	2.7131%
PrimeNet	2⁵⁷	0.0107	63.1579%	8000	140000	0.0012	2.8157%	0.0119	64.1953%	1.0374%
GPU72	2⁶¹	0.1712	65.5738%	8000	130000	0.0012	1.4941%	0.1724	66.0881%	0.5144%
Difference	+6	+16.3897	+3.0829%	+3634200	+123326789	+0.7988	+7.1621%	+17.1886	+5.2817%	+5.2817%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1794217	117994516320308885351599	24	76.643	32881896760622847 3 × 7 × 1565804607648707	2016-08-14	7	1565804607648707	12,678	6,710,647	12,533,620

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-10T06:34:00	Carsten Kossendey	leela	95000	1638750		-		-	-	0.014	-	-	2.447%
2014-04-27T11:48:00	ANONYMOUS	Manual testing	145000	145000		-		-	-	0.011	-	-	1.098%
2014-10-05T22:22:00	Jocelyn Larouche	Manual testing	180773	180773		-		-	-	0.014	-	-	1.234%
2015-01-10T14:01:00	Jocelyn Larouche	Manual testing	271159	271159		-		-	-	0.021	-	-	1.510%
2015-02-06T22:00:00	Jocelyn Larouche	Manual testing	542318	542318		-		-	-	0.043	-	-	2.058%
2015-03-29T20:50:00	Jocelyn Larouche	Manual testing	596549	596549		-		-	-	0.047	-	-	2.142%
2015-04-08T16:59:00	Jocelyn Larouche	Manual testing	656203	656203		-		-	-	0.052	-	-	2.227%
2015-05-01T17:21:00	Jocelyn Larouche	Manual testing	794005	794005		-		-	-	0.062	-	-	2.402%
2015-05-22T00:28:00	Jocelyn Larouche	Manual testing	873405	873405		-		-	-	0.069	-	-	2.493%
2015-06-08T13:42:00	Jocelyn Larouche	Manual testing	960745	960745		-		-	-	0.076	-	-	2.585%
2015-06-25T21:14:00	Jocelyn Larouche	Manual testing	1056819	1056819		-		-	-	0.083	-	-	2.679%
2015-07-07T18:13:00	Jocelyn Larouche	Manual testing	1162500	1162500		-		-	-	0.091	-	-	2.775%
2015-07-13T12:24:00	Jocelyn Larouche	Manual testing	1278750	1278750		-		-	-	0.101	-	-	2.873%
2015-07-21T01:20:00	Jocelyn Larouche	Manual testing	1406625	1406625		-		-	-	0.111	-	-	2.973%
2015-07-31T12:12:00	Jocelyn Larouche	Manual testing	1547287	1547287		-		-	-	0.122	-	-	3.074%
2015-09-20T11:32:00	Jocelyn Larouche	Manual testing	1702015	1702015		-		-	-	0.134	-	-	3.178%
2015-09-27T21:23:23	Jocelyn Larouche	Manual testing	1872216	1872216		-		-	-	0.147	-	-	3.283%
2015-10-02T22:01:20	Jocelyn Larouche	Manual testing	2059437	2059437		-		-	-	0.162	-	-	3.390%
2015-10-14T12:07:31	mikr	MSI	3642200	123456789	12	-		-	-	0.800	-	-	8.656%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.021	-	-
2016-02-23T16:28:52	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.064	-	-
2010-04-19T13:16:00	Architects Cubed	a3_bu2	2⁶⁰	2⁶¹		-	-	0.086	-	-
2016-02-23T16:28:52	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.171	-	-
2010-11-18T02:51:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.890	-	-
2016-02-23T16:28:52	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.547	-	-
2015-05-03T00:51:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.094	-	-
2015-05-03T00:51:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.082	-	-
2015-09-13T19:11:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.165	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.298 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:	17.298 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.097	0.030%
25	50000	0.732	48.105%
30	250000	0.045	95.594%
35	1000000	0.002	99.794%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		250	17.23
50000	5000000	117994516320308885351599	1	0.069

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-09-02T05:36:00	paulie	iMac3.4	50000	5000000						3	0.207
2009-07-13T19:56:00	SubPrime	mysql0	50000	5000000						3	0.207
2010-11-21T07:47:00	Lupo	yorick	50000	5000000						3	0.207
2012-03-09T14:38:00	S36049	Wolle5	50000	5000000						3	0.207
2013-07-06T15:24:00	Sara	Sara	50000	5000000						3	0.207
2014-03-14T01:19:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2015-02-23T00:44:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2015-10-11T00:51:33	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2016-02-11T03:26:23	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2016-04-03T13:19:04	Bruce	DESK3	50000	5000000						3	0.207
2016-05-15T08:26:00	Bruce	DESK3	50000	5000000						3	0.207
2016-08-14T05:23:58	Bruce	DESK3	50000	5000000	117994516320308885351599	76.643	1	2		1	0.069
2021-01-01T10:30:09	TJAOI	Manual testing	50000	5000000						217	14.96

date	userid	compid	res64	spent (GHz-days)
1998-12-06T00:00:00	ANONYMOUS	v4_computers	9BE4C191A963B565	0.097
2015-07-18T18:31:00	MadPoo	Manual testing	9BE4C191A963B565	0.097

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 = 3642200, B2 = 123456789 (P-1 stage 2)

B1 = 3642200 (P-1 stage 1)

B1 = 2059437 (P-1 stage 1)

B1 = 1872216 (P-1 stage 1)

B1 = 1702015 (P-1 stage 1)

B1 = 1547287 (P-1 stage 1)

B1 = 1406625 (P-1 stage 1)

B1 = 1278750 (P-1 stage 1)

B1 = 1162500 (P-1 stage 1)

B1 = 1056819 (P-1 stage 1)

B1 = 960745 (P-1 stage 1)

B1 = 873405 (P-1 stage 1)

B1 = 794005 (P-1 stage 1)

B1 = 656203 (P-1 stage 1)

B1 = 596549 (P-1 stage 1)

B1 = 542318 (P-1 stage 1)

B1 = 271159 (P-1 stage 1)

B1 = 180773 (P-1 stage 1)

B1 = 95000, B2 = 1638750 (P-1 stage 2)

B1 = 145000 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

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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