M1482907 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	20.0376	68.6567%	1482907	163119770	0.5696	8.2106%	20.6072	71.2302%	2.5735%
PrimeNet	2⁵⁷	0.0129	63.1579%	6500	100000	0.0006	2.3350%	0.0136	64.0182%	0.8603%
GPU72	2⁶¹	0.2071	65.5738%	6000	50000	0.0005	0.9455%	0.2076	65.8993%	0.3255%
Difference	+6	+19.8305	+3.0829%	+1476907	+163069770	+0.5692	+7.2651%	+20.3996	+5.3309%	+5.3309%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1482907	510429968957067041528759	24	78.756	172104511259663297 7 × 67 × 366960578378813	2019-05-17	67	366960578378813	75,745	1,106,850	2,067,287

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	20000	270000		-		-	-	0.002	-	-	0.964%
2010-12-25T13:50:00	Rob_Dee	twopc	100000	200000		-		-	-	0.006	-	-	1.221%
2010-12-26T18:29:00	Rob_Dee	twopc	200000	300000		-		-	-	0.011	-	-	1.525%
2010-12-27T13:24:00	Rob_Dee	twopc	200000	1000000		-		-	-	0.013	-	-	2.340%
2010-12-28T13:17:00	Rob_Dee	twopc	200000	2000000		-		-	-	0.017	-	-	2.829%
2010-12-29T12:50:00	Rob_Dee	twopc	200000	3000000		-		-	-	0.020	-	-	3.121%
2010-12-30T14:13:00	Rob_Dee	twopc	200000	4000000		-		-	-	0.023	-	-	3.331%
2010-12-31T13:26:00	Rob_Dee	twopc	200000	5000000		-		-	-	0.026	-	-	3.495%
2014-11-25T02:49:00	Jocelyn Larouche	Manual testing	243283	243283		-		-	-	0.013	-	-	1.388%
2015-01-29T22:02:00	Jocelyn Larouche	Manual testing	323809	323809		-		-	-	0.018	-	-	1.592%
2015-02-12T12:33:00	Jocelyn Larouche	Manual testing	391807	391807		-		-	-	0.022	-	-	1.737%
2015-02-23T15:50:00	Jocelyn Larouche	Manual testing	430987	430987		-		-	-	0.024	-	-	1.812%
2015-03-01T03:15:00	Jocelyn Larouche	Manual testing	474085	474085		-		-	-	0.026	-	-	1.889%
2015-03-05T14:27:00	Jocelyn Larouche	Manual testing	521493	521493		-		-	-	0.029	-	-	1.968%
2015-03-14T11:30:00	Jocelyn Larouche	Manual testing	573642	573642		-		-	-	0.032	-	-	2.049%
2015-03-15T13:58:00	alpertron	Manual testing	2000000	60000000		-		-	-	0.286	-	-	7.246%
2018-03-17T12:03:58	Jocelyn Larouche	low 4M	1482907	60000000	12	-		-	-	0.259	-	-	7.060%
2018-03-18T11:02:22	Jocelyn Larouche	low 4M	1482907	148290700	12	-		-	-	0.525	-	-	8.100%
2018-10-15T23:02:58	Jocelyn Larouche	low 4M	1482907	163119770	12	-		-	-	0.570	-	-	8.211%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-11-14T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.013	-	-
2003-07-30T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.026	-	-
2016-02-23T16:28:34	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.078	-	-
2010-05-07T08:50:00	Architects Cubed	m1_f2	2⁶⁰	2⁶¹		-	-	0.104	-	-
2016-02-23T16:28:34	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.207	-	-
2011-04-05T20:59:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	1.076	-	-
2016-02-23T16:28:34	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.662	-	-
2015-04-05T20:45:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.324	-	-
2015-04-05T20:45:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.520	-	-
2015-09-23T08:42:49	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	5.039	-	-
2018-02-19T12:08:17	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	10.08	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	26.553 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:	26.553 GHz-days
Estimated T-Level:	25.391

Digits	B1	Complete	FacMiss
20	11000	14.654	0.000%
25	50000	1.674	18.740%
30	250000	0.144	86.623%
35	1000000	0.010	99.005%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		144	6.844
50000	5000000	510429968957067041528759	107	5.085
250000	40000000		50	14.62

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-02-09T17:16:00	Steve Scott	Abit-2	50000	5000000						3	0.143
2009-03-23T09:24:00	Wolfgang Fluck		50000	5000000						3	0.143
2010-01-10T23:57:00	James Hintz	ryan	50000	5000000						3	0.143
2011-04-13T23:57:00	Scott Crawford	Ecko_2	50000	5000000						3	0.143
2012-08-16T13:42:00	OS1	L3	50000	5000000						3	0.143
2013-06-12T03:58:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.143
2014-01-28T16:30:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.143
2014-08-29T18:03:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.143
2015-04-17T22:53:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.143
2015-10-27T01:58:56	Chang Chia-Tche	exbpc13	50000	5000000						3	0.143
2016-02-20T23:38:46	Bruce	DESK3	50000	5000000						3	0.143
2016-03-22T06:22:50	Bruce	DESK3	50000	5000000						3	0.143
2016-04-27T13:09:57	Chang Chia-Tche	exbpc13	50000	5000000						3	0.143
2016-06-19T16:13:53	Bruce	DESK3	50000	5000000						3	0.143
2016-09-08T11:43:37	Bruce	test	50000	5000000						3	0.143
2016-10-29T01:36:51	Chang Chia-Tche	exbpc13	50000	5000000						3	0.143
2016-12-19T11:09:42	Bruce	DESK3	50000	5000000						3	0.143
2017-02-17T19:18:55	Chang Chia-Tche	exbpc13	50000	5000000						3	0.143
2017-08-10T10:58:05	Chang Chia-Tche	exbpc13	50000	5000000						3	0.143
2017-12-07T08:43:29	Bruce	DESK3	50000	5000000						3	0.143
2018-01-28T14:31:13	Bruce	DESK3	50000	5000000						3	0.143
2018-03-30T22:36:01	Lelikoid	QH	50000	5000000						3	0.143
2019-05-17T12:22:56	TJAOI	Manual testing	50000	5000000	510429968957067041528759	78.756	107	2		107	5.085
2019-05-17T12:22:56	TJAOI	Manual testing	50000	5000000						78	3.707
2022-04-07T09:48:13	TJAOI	Manual testing	250000	40000000						50	14.62

date	userid	compid	res64	spent (GHz-days)
1998-11-21T00:00:00	ANONYMOUS	v4_computers	2261B0C0FE7E0E39	0.057
2015-07-19T16:37:00	MadPoo	Manual testing	2261B0C0FE7E0E39	0.057

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 = 1482907, B2 = 163119770 (P-1 stage 2)

B1 = 1482907, B2 = 148290700 (P-1 stage 2)

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

B1 = 1482907, B2 = 60000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 1482907 (P-1 stage 1)

B1 = 573642 (P-1 stage 1)

B1 = 521493 (P-1 stage 1)

B1 = 474085 (P-1 stage 1)

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

B1 = 430987 (P-1 stage 1)

B1 = 200000, B2 = 4000000 (P-1 stage 2)

B1 = 391807 (P-1 stage 1)

B1 = 200000, B2 = 3000000 (P-1 stage 2)

B1 = 323809 (P-1 stage 1)

B1 = 200000, B2 = 2000000 (P-1 stage 2)

B1 = 200000, B2 = 1000000 (P-1 stage 2)

B1 = 243283 (P-1 stage 1)

B1 = 200000, B2 = 300000 (P-1 stage 2)

B1 = 200000 (P-1 stage 1)

B1 = 100000, B2 = 200000 (P-1 stage 2)

B1 = 100000 (P-1 stage 1)

B1 = 20000, B2 = 270000 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

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10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

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