M1430321 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	20.7743	68.6567%	2500000	62500000	0.3194	7.3965%	21.0937	70.9750%	2.3183%
PrimeNet	2⁵⁶	0.0067	62.5000%	6500	110000	0.0007	2.7737%	0.0074	63.5401%	1.0401%
GPU72	2⁶⁰	0.1074	65.0000%	6000	80000	0.0006	1.3037%	0.1079	65.4563%	0.4563%
Difference	+7	+20.6669	+3.6567%	+2494000	+62420000	+0.3188	+6.0928%	+20.9857	+5.5187%	+5.5187%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1430321	10914436880453976039439	23	73.209	3815380212013239 3 × 1271793404004413	2016-07-21	3	1271793404004413	1,522.3	3,836,065	7,164,700

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%
2009-08-07T16:11:00	markr	lounge	200000	5000000		-		-	-	0.026	-	-	3.478%
2014-11-10T23:29:00	Jocelyn Larouche	Manual testing	244874	244874		-		-	-	0.014	-	-	1.385%
2015-01-30T21:42:00	Jocelyn Larouche	Manual testing	404042	404042		-		-	-	0.022	-	-	1.751%
2015-02-20T16:56:00	Jocelyn Larouche	Manual testing	444446	444446		-		-	-	0.025	-	-	1.827%
2015-03-01T03:15:00	Jocelyn Larouche	Manual testing	488890	488890		-		-	-	0.027	-	-	1.904%
2015-03-05T14:27:00	Jocelyn Larouche	Manual testing	537779	537779		-		-	-	0.030	-	-	1.983%
2015-03-12T10:39:00	Jocelyn Larouche	Manual testing	591556	591556		-		-	-	0.033	-	-	2.064%
2015-03-26T11:43:00	alpertron	Manual testing	2000000	60000000		-		-	-	0.286	-	-	7.219%
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
2001-10-13T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.013	-	-
2003-07-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.027	-	-
2016-02-23T16:28:31	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.081	-	-
2009-02-18T02:10:00	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		-	-	1.116	-	-
2016-02-23T16:28:31	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.686	-	-
2015-03-20T04:02:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.373	-	-
2015-03-20T04:02:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.612	-	-
2015-10-02T08:43:15	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	5.225	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	25.466 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:	25.466 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	11.81
50000	5000000	10914436880453976039439	1	0.047
250000	35000000		50	13.61

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-01-04T05:23:00	Steve Scott	Abit	50000	5000000						1	0.047
2009-02-22T14:30:00	Lukasz Wrobel	LINUX_01	50000	5000000						3	0.142
2009-06-15T18:48:00	Robert Seemann	ab06	50000	5000000						3	0.142
2010-03-27T21:42:00	SubPrime	stor	50000	5000000						3	0.142
2011-06-05T05:55:00	James Hintz	ryan	50000	5000000						3	0.142
2012-08-09T16:16:00	Oscar Östlin		50000	5000000						7	0.331
2014-04-20T14:13:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2015-01-12T06:50:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2015-06-27T01:12:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2015-12-10T20:01:37	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2016-02-27T10:10:18	Bruce	DESK3	50000	5000000						3	0.142
2016-04-04T07:23:55	Bruce	DESK3	50000	5000000						3	0.142
2016-05-06T06:12:09	Bruce	DESK3	50000	5000000						3	0.142
2016-07-22T00:31:16	Bruce	DESK3	50000	5000000	10914436880453976039439	73.209	1	2		1	0.047
2019-02-08T14:09:49	TJAOI	Manual testing	50000	5000000						209	9.87
2021-10-07T10:30:26	TJAOI	Manual testing	250000	35000000						50	13.61

date	userid	compid	res64	spent (GHz-days)
2015-11-13T16:44:24	MadPoo	Manual testing	BD5DFD2DE12CB38A	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 = 591556 (P-1 stage 1)

B1 = 537779 (P-1 stage 1)

B1 = 488890 (P-1 stage 1)

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

B1 = 444446 (P-1 stage 1)

B1 = 404042 (P-1 stage 1)

B1 = 244874 (P-1 stage 1)

B1 = 200000 (P-1 stage 1)

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

B1 = 15000 (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