M1848617 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	32.2430	69.1176%	1848617	184861700	0.9298	8.0365%	33.1727	71.5995%	2.4819%
PrimeNet	2⁵⁷	0.0104	63.1579%	9000	160000	0.0014	3.0227%	0.0117	64.2715%	1.1136%
GPU72	2⁶¹	0.1662	65.5738%	9000	150000	0.0013	1.6307%	0.1675	66.1352%	0.5614%
Difference	+7	+32.0768	+3.5439%	+1839617	+184711700	+0.9285	+6.4058%	+33.0052	+5.4644%	+5.4644%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1848617	45093632029577642014705471	26	85.221	12196585888147096455 3 × 5 × 813105725876473097	2019-12-29	5	813105725876473097	6,234,194	3.485e+9	6.509e+9

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2012-01-02T10:51:00	markr	tiny	275000	6000000		-		-	-	0.046	-	-	3.531%
2015-10-06T23:12:11	Bruno Victal	5820K-linux	500000	15000000	12	-		-	-	0.101	-	-	4.605%
2016-10-29T20:53:43	Jocelyn Larouche	low 4M	864000	864000		-		-	-	0.068	-	-	2.231%
2016-12-18T19:36:10	Jocelyn Larouche	low 4M	720000	720000		-		-	-	0.057	-	-	2.073%
2017-01-12T03:16:23	Jocelyn Larouche	low 4M	1036800	1036800		-		-	-	0.082	-	-	2.396%
2017-02-11T17:53:08	Jocelyn Larouche	low 4M	1244160	12441600	12	-		-	-	0.146	-	-	4.876%
2018-01-31T13:05:34	Jocelyn Larouche	low 4M	1848617	24883200	12	-		-	-	0.244	-	-	5.781%
2018-02-09T03:27:09	Jocelyn Larouche	low 4M	1848617	49766400	12	-		-	-	0.351	-	-	6.553%
2018-02-24T22:02:46	Jocelyn Larouche	low 4M	1848617	99532800	12	-		-	-	0.564	-	-	7.333%
2018-09-24T11:55:45	Jocelyn Larouche	low 4M	1848617	184861700	12	-		-	-	0.930	-	-	8.037%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-16T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.021	-	-
2016-02-23T16:28:55	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.062	-	-
2010-04-08T13:19:00	Architects Cubed	Manual testing	2⁶⁰	2⁶¹		-	-	0.083	-	-
2016-02-23T16:28:55	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.166	-	-
2011-01-21T16:11:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.863	-	-
2016-02-23T16:28:55	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.531	-	-
2015-04-28T21:21:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.062	-	-
2015-04-28T21:21:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.021	-	-
2015-09-08T08:29:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.042	-	-
2017-10-06T10:48:16	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.085	-	-
2019-06-17T12:14:58	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	16.17	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.882 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:	18.882 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.482	0.021%
25	50000	0.768	46.393%
30	250000	0.047	95.364%
35	1000000	0.002	99.782%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		75	5.186
50000	5000000	45093632029577642014705471	3	0.207
50000	6600000		173	13.49

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-10-17T08:26:00	paulie	iMac3.4	50000	5000000						3	0.207
2009-07-19T08:01:00	James Hintz	08_071509	50000	5000000						3	0.207
2011-01-26T08:39:00	James Hintz	ryan	50000	5000000						3	0.207
2012-07-03T08:41:00	soldake	PentiumD	50000	5000000						3	0.207
2013-09-12T23:36:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-05-26T01:12:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-12-18T15:54:00	mikr	MSI	50000	5000000						12	0.830
2016-06-06T08:20:52	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2016-09-12T03:07:42	Bruce	DESK3	50000	5000000						3	0.207
2016-11-20T11:13:56	Bruce	DESK3	50000	5000000						3	0.207
2017-01-18T05:55:54	Bruce	DESK3	50000	5000000						3	0.207
2017-07-12T04:53:42	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2017-12-18T23:27:50	Bruce	DESK3	50000	5000000						3	0.207
2018-02-17T00:47:42	Bruce	DESK3	50000	5000000						3	0.207
2019-11-27T01:51:05	IanGlencross	glenx24	50000	5000000						3	0.207
2019-11-30T18:07:23	IanGlencross	glenx24	50000	5000000						3	0.207
2019-12-04T06:34:40	Keysarecool	Boat_Anchor	50000	5000000						3	0.207
2019-12-05T16:58:20	Yxinity	Olga	50000	5000000						3	0.207
2019-12-08T18:06:05	Alvin Bunk	BADCAT	50000	5000000						3	0.207
2019-12-14T11:25:17	Corey	Computer	50000	5000000						3	0.207
2019-12-19T21:56:29	TheJudger	Sinope	50000	5000000						3	0.207
2019-12-24T01:31:40	Keysarecool	HPLaptop	50000	5000000						3	0.207
2019-12-29T22:22:39	mnd9	colab2	50000	5000000	45093632029577642014705471	85.221	3	2	1561594518561898	3	0.207
2021-06-11T13:32:20	TJAOI	Manual testing	50000	6600000						173	13.49

date	userid	compid	res64	spent (GHz-days)
1998-12-13T00:00:00	ANONYMOUS	v4_computers	D413E2BA30DAED14	0.100
2015-07-06T20:15:00	MadPoo	Manual testing	D413E2BA30DAED14	0.100

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 = 1848617, B2 = 184861700 (P-1 stage 2)

B1 = 1848617, B2 = 99532800 (P-1 stage 2)

B1 = 1848617, B2 = 49766400 (P-1 stage 2)

B1 = 1848617, B2 = 24883200 (P-1 stage 2)

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

B1 = 1848617 (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 = 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