M1862933 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	31.9952	69.1176%	2488320	204922630	1.0633	8.3859%	33.0585	71.7074%	2.5897%
PrimeNet	2⁵⁷	0.0103	63.1579%	9000	160000	0.0014	3.0270%	0.0117	64.2731%	1.1152%
GPU72	2⁶¹	0.1649	65.5738%	10000	150000	0.0014	1.6884%	0.1663	66.1550%	0.5812%
Difference	+7	+31.8303	+3.5439%	+2478320	+204772630	+1.0619	+6.6975%	+32.8922	+5.5524%	+5.5524%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1862933	98588594593976851736777	23	76.384	26460585161671636 2² × 47 × 140747793413147	2019-12-03	47	140747793413147	9,950.5	603,210	1,126,628

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2012-01-06T06:00:00	markr	tiny	275000	6000000		-		-	-	0.046	-	-	3.535%
2015-10-07T04:11:27	Bruno Victal	5820K-linux	500000	15000000	12	-		-	-	0.101	-	-	4.610%
2016-10-29T20:53:46	Jocelyn Larouche	low 4M	720000	720000		-		-	-	0.057	-	-	2.075%
2016-12-30T23:10:08	Jocelyn Larouche	low 4M	864000	864000		-		-	-	0.068	-	-	2.234%
2017-01-14T05:24:37	Jocelyn Larouche	low 4M	1036800	1036800		-		-	-	0.082	-	-	2.399%
2017-02-19T20:41:21	Jocelyn Larouche	low 4M	1244160	12441600	12	-		-	-	0.146	-	-	4.880%
2017-12-27T03:28:27	Jocelyn Larouche	low 4M	2488320	24883200	12	-		-	-	0.292	-	-	5.911%
2018-02-10T10:46:35	Jocelyn Larouche	low 4M	2488320	49766400	12	-		-	-	0.398	-	-	6.718%
2018-02-26T11:01:56	Jocelyn Larouche	low 4M	2488320	99532800	12	-		-	-	0.612	-	-	7.532%
2018-09-13T11:47:01	Jocelyn Larouche	low 4M	2488320	186293300	12	-		-	-	0.983	-	-	8.273%
2018-10-25T11:45:57	Jocelyn Larouche	Manual testing	2488320	204922630	12	-		-	-	1.063	-	-	8.386%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.021	-	-
2016-02-23T16:28:55	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.062	-	-
2010-04-06T01:39:00	Architects Cubed	Manual testing	2⁶⁰	2⁶¹		-	-	0.082	-	-
2016-02-23T16:28:55	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.165	-	-
2011-03-08T05:14:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.857	-	-
2016-02-23T16:28:55	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.527	-	-
2015-05-07T12:18:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.054	-	-
2015-05-07T12:18:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.006	-	-
2015-09-10T08:47:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.011	-	-
2018-04-30T12:03:45	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.023	-	-
2019-06-24T09:36:00	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	16.05	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	19.203 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:	19.203 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.541	0.020%
25	50000	0.773	46.157%
30	250000	0.048	95.333%
35	1000000	0.002	99.781%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	50000		3	0.126
50000	5000000		57	3.945
50000	5000000	98588594593976851736777	1	0.069
50000	6600000		193	15.06

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-10-23T01:56:00	ANONYMOUS	mcg25	50000	5000000						3	0.208
2009-07-21T03:16:00	James Hintz	12_071509	50000	5000000						3	0.208
2011-03-11T21:50:00	James Hintz	ryan	50000	5000000						3	0.208
2012-08-29T12:48:00	Andriy Makukha	home-i5	50000	50000						3	0.126
2012-10-31T04:14:00	Donna Noble	CCI_PH2_955	50000	5000000						3	0.208
2013-10-22T10:56:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2014-07-06T21:43:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2015-04-15T23:30:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2015-12-08T02:22:19	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2016-03-03T03:56:11	Bruce	DESK3	50000	5000000						3	0.208
2016-04-16T15:17:38	Bruce	DESK3	50000	5000000						3	0.208
2016-07-09T07:21:33	Bruce	DESK3	50000	5000000						3	0.208
2016-09-29T02:47:44	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2016-12-01T10:10:01	Bruce	DESK3	50000	5000000						3	0.208
2017-01-31T23:49:12	Bruce	DESK3	50000	5000000						3	0.208
2017-09-22T04:16:05	ANONYMOUS	Worker	50000	5000000						3	0.208
2018-01-04T10:43:05	Bruce	DESK3	50000	5000000						3	0.208
2019-03-20T09:40:10	ANONYMOUS	TimeVampireTheFifth	50000	5000000						3	0.208
2019-11-26T16:50:31	Keysarecool	Boat_Anchor	50000	5000000						3	0.208
2019-11-30T07:28:47	IanGlencross	glenx24	50000	5000000						3	0.208
2019-12-03T20:15:51	Keysarecool	Boat_Anchor	50000	5000000	98588594593976851736777	76.384	1	2	1820356406482684	1	0.069
2021-08-20T12:36:04	TJAOI	Manual testing	50000	6600000						193	15.06

date	userid	compid	res64	spent (GHz-days)
1998-12-13T00:00:00	ANONYMOUS	v4_computers	B82FA12D80AA90F6	0.101
2015-06-27T00:56:00	MadPoo	Manual testing	B82FA12D80AA90F6	0.101

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 = 2488320, B2 = 204922630 (P-1 stage 2)

B1 = 2488320, B2 = 186293300 (P-1 stage 2)

B1 = 2488320, B2 = 99532800 (P-1 stage 2)

B1 = 2488320, B2 = 49766400 (P-1 stage 2)

B1 = 2488320, B2 = 24883200 (P-1 stage 2)

B1 = 2488320 (P-1 stage 1)

B1 = 1244160, B2 = 12441600 (P-1 stage 2)

B1 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 1244160 (P-1 stage 1)

B1 = 1036800 (P-1 stage 1)

B1 = 864000 (P-1 stage 1)

B1 = 720000 (P-1 stage 1)

B1 = 275000, B2 = 6000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 275000 (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