M1860503 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	32.0370	69.1176%	2579889	204655330	1.0690	8.4096%	33.1060	71.7147%	2.5971%
PrimeNet	2⁵⁷	0.0103	63.1579%	9000	160000	0.0014	3.0263%	0.0117	64.2728%	1.1149%
GPU72	2⁶¹	0.1651	65.5738%	9000	150000	0.0013	1.6328%	0.1664	66.1359%	0.5621%
Difference	+7	+31.8719	+3.5439%	+2570889	+204505330	+1.0677	+6.7768%	+32.9395	+5.5788%	+5.5788%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1860503	19658347833995583994646423	26	84.023	5283073403804128237 222644407 × 23728749691	2020-08-02	222644407	23728749691	2,806,381	118.26	189.94

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2012-01-05T05:12:00	markr	tiny	275000	6000000		-		-	-	0.046	-	-	3.534%
2015-10-07T02:45:10	Bruno Victal	5820K-linux	500000	15000000	12	-		-	-	0.101	-	-	4.609%
2016-09-14T01:57:19	Jocelyn Larouche	low 4M	500000	30000000	12	-		-	-	0.166	-	-	5.222%
2016-09-30T05:55:09	Jocelyn Larouche	low 4M	500000	33000000	6	-		-	-	0.179	-	-	5.307%
2016-10-07T05:52:37	Jocelyn Larouche	low 4M	500000	39600000	6	-		-	-	0.207	-	-	5.471%
2016-10-29T20:53:45	Jocelyn Larouche	low 4M	600000	600000		-		-	-	0.047	-	-	1.923%
2016-12-19T18:36:36	Jocelyn Larouche	low 4M	720000	720000		-		-	-	0.057	-	-	2.075%
2016-12-29T21:51:16	Jocelyn Larouche	low 4M	864000	864000		-		-	-	0.068	-	-	2.233%
2017-01-14T05:24:36	Jocelyn Larouche	low 4M	1036800	1036800		-		-	-	0.082	-	-	2.398%
2017-02-11T17:53:09	Jocelyn Larouche	low 4M	1244160	12441600	12	-		-	-	0.146	-	-	4.879%
2017-03-22T07:27:52	Jocelyn Larouche	low 4M	1492992	14929920	12	-		-	-	0.175	-	-	5.142%
2017-03-29T03:10:19	Jocelyn Larouche	low 4M	1791590	17915900	12	-		-	-	0.210	-	-	5.410%
2017-04-01T17:06:27	Jocelyn Larouche	low 4M	2149908	21499080	12	-		-	-	0.252	-	-	5.685%
2017-05-06T15:58:38	Jocelyn Larouche	low 4M	2579889	25798890	12	-		-	-	0.302	-	-	5.966%
2018-02-11T01:49:14	Jocelyn Larouche	low 4M	2579889	51597780	12	-		-	-	0.413	-	-	6.778%
2018-02-26T11:01:56	Jocelyn Larouche	low 4M	2579889	103195560	12	-		-	-	0.634	-	-	7.597%
2018-09-17T11:34:54	Jocelyn Larouche	low 4M	2579889	186050300	12	-		-	-	0.989	-	-	8.296%
2018-10-25T11:45:57	Jocelyn Larouche	Manual testing	2579889	204655330	12	-		-	-	1.069	-	-	8.410%

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		-	-	0.083	-	-
2016-02-23T16:28:55	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.165	-	-
2011-03-08T05:14:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.858	-	-
2016-02-23T16:28:55	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.528	-	-
2015-05-07T03:46:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.055	-	-
2015-05-07T03:46:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.008	-	-
2015-09-09T11:47:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.017	-	-
2018-05-14T16:20:06	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.033	-	-
2019-07-08T14:45:02	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	16.07	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.270 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:	18.270 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.324	0.024%
25	50000	0.753	47.088%
30	250000	0.046	95.458%
35	1000000	0.002	99.787%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		147	10.17
50000	5000000	19658347833995583994646423	2	0.138
50000	6600000		102	7.960

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-10-25T22:03:00	paulie	iMac3.4	50000	5000000						3	0.208
2009-07-20T20:26:00	James Hintz	01_071509	50000	5000000						3	0.208
2011-03-10T23:40:00	Smurgs	Praca	50000	5000000						3	0.208
2012-08-23T09:21:00	Chang Chia-Tche	sekhmet	50000	5000000						3	0.208
2013-09-24T01:13:00	Bruce	apandya-DESK11	50000	5000000						3	0.208
2014-06-27T20:01:00	Sara	Sara	50000	5000000						3	0.208
2015-01-21T09:40:00	mikr	MSI	50000	5000000						12	0.830
2016-06-15T00:36:31	Bruce	DESK3	50000	5000000						3	0.208
2016-09-19T14:18:59	Bruce	DESK3	50000	5000000						3	0.208
2016-11-26T05:41:44	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2017-01-23T02:29:08	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2017-08-18T14:10:31	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2017-12-27T02:42:23	Bruce	DESK3	50000	5000000						3	0.208
2018-02-23T00:47:12	Bruce	DESK3	50000	5000000						3	0.208
2019-11-26T23:48:27	Corey	Computer	50000	5000000						3	0.208
2019-12-02T05:22:07	Nesowa	entropy_generator_2	50000	5000000						3	0.208
2019-12-02T23:50:50	Keysarecool	Boat_Anchor	50000	5000000						3	0.208
2019-12-06T23:15:04	Sergey Nosov	TS140-02	50000	5000000						3	0.208
2019-12-12T02:04:41	Nesowa	6700T	50000	5000000						3	0.208
2019-12-17T00:28:52	Nesowa	6700T	50000	5000000						3	0.208
2019-12-21T18:08:41	IanGlencross	glenx24	50000	5000000						3	0.208
2019-12-28T01:21:07	TheJudger	myECM	50000	5000000						3	0.208
2020-01-01T12:21:11	TheJudger	myECM	50000	5000000						3	0.208
2020-01-07T10:13:45	IanGlencross	glenx24	50000	5000000						3	0.208
2020-01-15T12:04:07	EricP	Cannonfodder	50000	5000000						3	0.208
2020-01-28T08:18:02	mnd9	25836b	50000	5000000						3	0.208
2020-02-06T15:08:41	daveward2005	MW	50000	5000000						3	0.208
2020-02-13T23:17:27	mnd9	75201b	50000	5000000						3	0.208
2020-02-21T06:55:49	daveward2005	Davy	50000	5000000						3	0.208
2020-02-27T23:35:16	mnd9	75201b	50000	5000000						3	0.208
2020-03-05T20:15:21	mnd9	kitchen	50000	5000000						3	0.208
2020-03-12T13:05:24	mnd9	office2	50000	5000000						3	0.208
2020-03-20T16:40:28	mnd9	75203b	50000	5000000						3	0.208
2020-04-01T12:47:14	kracker	O0	50000	5000000						3	0.208
2020-04-14T09:05:48	daveward2005	Davy	50000	5000000						3	0.208
2020-04-24T12:50:09	EricP	Cannonfodder	50000	5000000						3	0.208
2020-05-02T10:10:16	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.208
2020-05-03T16:28:38	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.208
2020-05-14T09:27:15	mnd9	libproj	50000	5000000						3	0.208
2020-05-31T12:18:22	mnd9	75203b	50000	5000000						3	0.208
2020-06-20T14:24:22	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.208
2020-06-30T03:12:10	Ahmed Azhad	colab	50000	5000000						3	0.208
2020-07-07T05:22:06	GAN	GAN-HP	50000	5000000						3	0.208
2020-07-13T15:46:35	Paul Maresquier	Paul_PC	50000	5000000						3	0.208
2020-07-22T08:26:47	ANONYMOUS	TimeVampireTheFifth	50000	5000000						3	0.208
2020-07-25T18:30:47	GAN	LMS-06	50000	5000000						3	0.208
2020-08-02T04:45:17	GAN	XPS	50000	5000000	19658347833995583994646423	84.023	2	2	6563841617354604	2	0.138
2021-08-27T10:08:27	TJAOI	Manual testing	50000	6600000						102	7.960

date	userid	compid	res64	spent (GHz-days)
1998-12-13T00:00:00	ANONYMOUS	v4_computers	5AFAD9B2C254D6F3	0.101
2015-07-16T04:00:00	MadPoo	Manual testing	5AFAD9B2C254D6F3	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 = 2579889, B2 = 204655330 (P-1 stage 2)

B1 = 2579889, B2 = 186050300 (P-1 stage 2)

B1 = 2579889, B2 = 103195560 (P-1 stage 2)

B1 = 2579889, B2 = 51597780 (P-1 stage 2)

B1 = 2579889, B2 = 25798890 (P-1 stage 2)

B1 = 2149908, B2 = 21499080 (P-1 stage 2)

B1 = 1791590, B2 = 17915900 (P-1 stage 2)

B1 = 500000, B2 = 39600000 (P-1 stage 2)

B1 = 2579889 (P-1 stage 1)

B1 = 500000, B2 = 33000000 (P-1 stage 2)

B1 = 1492992, B2 = 14929920 (P-1 stage 2)

B1 = 2149908 (P-1 stage 1)

B1 = 500000, B2 = 30000000 (P-1 stage 2)

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

B1 = 1791590 (P-1 stage 1)

B1 = 1492992 (P-1 stage 1)

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 = 600000 (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