M2217503 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	26.8793	67.6471%	2000000	65000000	0.5179	7.0326%	27.3972	69.9223%	2.2752%
PrimeNet	2⁵⁸	0.0173	62.0690%	10000	180000	0.0018	2.8673%	0.0192	63.1565%	1.0876%
GPU72	2⁶²	0.2771	64.5161%	11000	180000	0.0019	1.6295%	0.2790	65.0943%	0.5782%
Difference	+6	+26.6022	+3.1309%	+1989000	+64820000	+0.5160	+5.4030%	+27.1182	+4.8280%	+4.8280%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2217503	69256506897429992297447	23	75.874	15615876708493741 17 × 918580982852573	2020-07-04	17	918580982852573	4,706.3	4,771,339	8,911,533

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-03-16T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.227%
2010-10-11T07:34:00	Oscar Östlin		75011	75011		-		-	-	0.007	-	-	0.674%
2010-12-19T18:34:00	Oscar Östlin		85000	1593750		-		-	-	0.016	-	-	2.175%
2014-05-26T23:57:00	Jocelyn Larouche	Manual testing	113944	113944		-		-	-	0.011	-	-	0.868%
2014-09-29T22:04:00	Jocelyn Larouche	Manual testing	142888	142888		-		-	-	0.014	-	-	0.987%
2015-04-29T06:51:00	Squeeky_Squirrel	P4_2600	160000	4600000		-		-	-	0.038	-	-	3.135%
2015-11-16T18:43:56	Alexander Dubrovin	Manual testing	1000000	7000000	12	-		-	-	0.127	-	-	4.314%
2015-11-17T14:03:54	Alexander Dubrovin	Manual testing	1000000	20000000	12	-		-	-	0.194	-	-	5.366%
2015-12-18T18:25:55	Alexander Dubrovin	Manual testing	2000000	65000000	12	-		-	-	0.518	-	-	7.033%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-02-07T00:00:00	MadPoo	v4_computers	2¹	2⁵⁸		-	-	0.017	-	-
2016-02-23T16:29:08	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.052	-	-
2009-01-11T08:21:00	Sturle Sunde	figaro.ifi	2⁶⁰	2⁶¹		-	-	0.069	-	-
2012-04-18T10:47:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.139	-	-
2013-01-23T08:23:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.443	-	-
2015-03-06T11:15:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.885	-	-
2015-03-06T11:15:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.685	-	-
2015-10-23T09:34:53	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.370	-	-
2016-12-24T00:00:56	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.740	-	-
2019-04-22T13:11:40	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.48	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	7.027 GHz-days
Estimated T-Level:	4.100

Digits	B1	Curves	Complete	FacMiss
20	11000	82 / 100	0.820	43.862%
25	50000	82 / 280	0.293	74.574%

New Calculation Method

Total ECM effort:	7.027 GHz-days
Estimated T-Level:	4.100

Digits	B1	Complete	FacMiss
20	11000	2.645	7.099%
25	50000	0.239	78.736%
30	250000	0.015	98.539%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		81	6.942
50000	5000000	69256506897429992297447	1	0.086

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-09T03:20:00	maxybo	CB418E216	50000	5000000						3	0.257
2009-12-16T22:19:00	James Classen	towerofart	50000	5000000						3	0.257
2011-10-08T14:13:00	Beat Bucheli	I7	50000	5000000						3	0.257
2013-06-07T13:59:00	jim f in mn	asus	50000	5000000						3	0.257
2015-03-17T04:10:00	Bruce	desk16	50000	5000000						3	0.257
2016-02-04T06:12:02	sepulchra		50000	5000000						3	0.257
2016-03-16T08:15:01	Bruce	Desk6	50000	5000000						3	0.257
2016-07-07T16:54:23	Bruce	test	50000	5000000						3	0.257
2016-11-19T23:23:14	Bruce	Desk6	50000	5000000						3	0.257
2017-05-10T18:04:41	Bruce	Desk6	50000	5000000						3	0.257
2017-11-21T00:37:00	arnaud	Portable12	50000	5000000						3	0.257
2018-04-11T16:16:39	Bruce	Desk6	50000	5000000						3	0.257
2018-10-11T00:59:20	Bruce	Desk6	50000	5000000						3	0.257
2020-02-11T03:58:14	David_McCann	i5	50000	5000000						3	0.257
2020-02-17T13:40:30	EricP	Cannonfodder	50000	5000000						3	0.257
2020-02-25T01:39:38	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.257
2020-03-02T19:28:41	MarkS	desktop-i7	50000	5000000						3	0.257
2020-03-09T11:42:07	kracker	O0	50000	5000000						3	0.257
2020-03-16T21:29:21	mnd9	75211backdoor	50000	5000000						3	0.257
2020-03-26T08:20:38	mnd9	221R	50000	5000000						3	0.257
2020-04-09T13:15:47	mnd9	colab	50000	5000000						3	0.257
2020-04-21T12:39:32	Yuji HASEGAWA	sx1w7	50000	5000000						3	0.257
2020-04-29T00:35:46	nordi	sweet16	50000	5000000						3	0.257
2020-05-09T02:16:13	nordi	sweet16	50000	5000000						3	0.257
2020-05-23T12:22:47	mnd9	50871b	50000	5000000						3	0.257
2020-06-11T03:22:10	mnd9	50871b	50000	5000000						3	0.257
2020-06-26T09:26:16	Nesowa	6700T	50000	5000000						3	0.257
2020-07-04T08:54:23	daveward2005	MW	50000	5000000	69256506897429992297447	75.874	1	2		1	0.086

date	userid	compid	res64	spent (GHz-days)
1999-03-01T00:00:00	MadPoo	v4_computers	AEA9304CAD205285	0.146
2018-04-18T11:45:47	kkmrkkblmbrbk	old	AEA9304CAD205285	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 = 1000000, B2 = 20000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 1000000, B2 = 7000000 (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 = 142888 (P-1 stage 1)

B1 = 113944 (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

10¹

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10⁴

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10¹

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10³

10⁴

10⁵

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10¹³

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10¹⁵

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