M1429063 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	20.7926	68.6567%	2500000	62500000	0.3194	7.3958%	21.1120	70.9748%	2.3181%
PrimeNet	2⁵⁶	0.0067	62.5000%	6500	110000	0.0007	2.7732%	0.0074	63.5400%	1.0400%
GPU72	2⁶⁰	0.1075	65.0000%	6000	80000	0.0006	1.3035%	0.1080	65.4562%	0.4562%
Difference	+7	+20.6851	+3.6567%	+2494000	+62420000	+0.3188	+6.0924%	+21.0039	+5.5186%	+5.5186%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1429063	293434497983161127531551	24	77.957	102666746666578425 3 × 5² × 311 × 4401575419789	2017-02-10	311	4401575419789	30,806	13,276	24,796

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-29T00:00:00	Team Prime Rib	v4_computers	15000	243750		-		-	-	0.002	-	-	0.836%
2009-08-05T17:11:00	markr	lounge	200000	5000000		-		-	-	0.026	-	-	3.478%
2014-11-10T23:29:00	Jocelyn Larouche	Manual testing	244913	244913		-		-	-	0.014	-	-	1.385%
2015-01-30T21:42:00	Jocelyn Larouche	Manual testing	404105	404105		-		-	-	0.022	-	-	1.751%
2015-02-20T16:56:00	Jocelyn Larouche	Manual testing	444515	444515		-		-	-	0.025	-	-	1.827%
2015-03-01T03:15:00	Jocelyn Larouche	Manual testing	488966	488966		-		-	-	0.027	-	-	1.904%
2015-03-05T14:27:00	Jocelyn Larouche	Manual testing	537862	537862		-		-	-	0.030	-	-	1.983%
2015-03-12T10:39:00	Jocelyn Larouche	Manual testing	591648	591648		-		-	-	0.033	-	-	2.064%
2015-03-24T11:42:00	alpertron	Manual testing	2000000	60000000		-		-	-	0.286	-	-	7.218%
2016-08-18T05:21:09	Bruno Victal	5820K-factoring	2500000	62500000	12	-		-	-	0.319	-	-	7.396%
2016-08-27T10:53:43	Bruno Victal	Manual testing	2500000	62500000	12	-		-	-	0.319	-	-	7.396%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-10-20T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.013	-	-
2016-02-23T16:28:31	Mark Rose	Manual testing	2⁵⁷	2⁶⁰		-	-	0.094	-	-
2009-02-16T21:26:00	Sturle Sunde	gobi.ifi	2⁶⁰	2⁶¹		-	-	0.107	-	-
2016-02-23T16:28:31	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.215	-	-
2011-05-07T23:53:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	1.117	-	-
2016-02-23T16:28:31	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.687	-	-
2015-03-20T00:55:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.374	-	-
2015-03-20T00:55:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.615	-	-
2015-10-11T16:52:53	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	5.229	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	25.462 GHz-days
Estimated T-Level:	25.391

Digits	B1	Curves	Complete	FacMiss
20	11000	301 / 100	3.010	4.855%
25	50000	301 / 280	1.075	34.064%
30	250000	50 / 640	0.078	92.479%

New Calculation Method

Total ECM effort:	25.462 GHz-days
Estimated T-Level:	25.391

Digits	B1	Complete	FacMiss
20	11000	12.263	0.000%
25	50000	1.357	25.749%
30	250000	0.113	89.315%
35	1000000	0.008	99.236%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		250	11.80
50000	5000000	293434497983161127531551	1	0.047
250000	35000000		50	13.61

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-01-04T04:01:00	Steve Scott	805D	50000	5000000						1	0.047
2009-02-21T00:04:00	SubPrime	c2d0	50000	5000000						3	0.142
2009-06-15T07:42:00	Lupo	yorick	50000	5000000						3	0.142
2010-03-24T11:10:00	James Classen	towerofart	50000	5000000						3	0.142
2011-05-29T05:57:00	S36049	Wolle5	50000	5000000						3	0.142
2012-08-03T16:38:00	Oscar Östlin		50000	5000000						7	0.331
2014-05-05T18:43:00	Sara	Sara	50000	5000000						3	0.142
2015-01-09T12:09:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2015-06-24T14:50:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2015-12-09T15:02:36	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2016-02-27T07:26:01	Bruce	DESK3	50000	5000000						3	0.142
2016-04-03T16:51:20	Bruce	DESK3	50000	5000000						3	0.142
2016-05-05T16:12:08	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2016-07-11T03:09:42	Bruce	DESK3	50000	5000000						3	0.142
2016-09-09T19:28:27	Bruce	test	50000	5000000						3	0.142
2016-10-31T13:03:30	Bruce	DESK3	50000	5000000						3	0.142
2016-12-19T01:50:23	Bruce	DESK3	50000	5000000						3	0.142
2017-02-10T23:35:36	Chang Chia-Tche	exbpc13	50000	5000000	293434497983161127531551	77.957	1	2		1	0.047
2019-01-25T12:25:52	TJAOI	Manual testing	50000	5000000						197	9.302
2021-10-20T13:16:42	TJAOI	Manual testing	250000	35000000						50	13.61

date	userid	compid	res64	spent (GHz-days)
2015-11-13T16:44:23	MadPoo	Manual testing	D5B91A8FA17CB34D	0.055

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 = 2500000, B2 = 62500000 (P-1 stage 2)

B1 = 2000000, B2 = 60000000 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

B1 = 2000000 (P-1 stage 1)

B1 = 591648 (P-1 stage 1)

B1 = 537862 (P-1 stage 1)

B1 = 488966 (P-1 stage 1)

B1 = 200000, B2 = 5000000 (P-1 stage 2)

B1 = 444515 (P-1 stage 1)

B1 = 404105 (P-1 stage 1)

B1 = 244913 (P-1 stage 1)

B1 = 200000 (P-1 stage 1)

B1 = 15000, B2 = 243750 (P-1 stage 2)

B1 = 15000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

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