M1399 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	unknown	30000000000	700000000000	1.5723	54.8717%	1.5723	54.8717%	-17.6283%
PrimeNet	2⁴⁰	0.0001	72.5000%	500	10000	0.0000	1.7591%	0.0001	74.2591%	1.7591%
GPU72	2⁴⁴	0.0017	75.0000%	500	10000	0.0000	0.6766%	0.0017	75.6766%	0.6766%
Difference	-44	-0.0017	-75.0000%	+29999999500	+699999990000	+1.5723	+54.1951%	+1.5707	-20.8049%	-20.8049%

	GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
1399	28875361	8	24.783	10320 2⁴ × 3 × 5 × 43	16	43	-	1.971e-9	4.131e-10	7.699e-10
1399	4320651071020341609502042221583629017824960697	46	151.598	1544192662980822590958556905498080420952452 2² × 29 × 163 × 6301 × 12961235791136394639446427752443219	6301	12961235791136394639446427752443219	-	9.328e+13	1.670e+22	3.118e+22
1399	97298319010519586638294530046877232710261919237860 80297556081	61	202.598	34774238388320081000105264491378567802095039041408 43565960 2³ × 5 × 3153224363623 × 27570380647101404930099795108361671361578363	3153224363623	27570380647101404930099795108361671361578363	2020-12-20	1.033e+14	3.551e+31	6.633e+31

exponent	prime factors	composite factor	digits	bits*
1399	28875361 4320651071020341609502042221583629017824960697	12476035943074900231769249938546927957977117493668 6617	54	176.381
1399	28875361 97298319010519586638294530046877232710261919237860 80297556081	28095240861219158617515309794289270171898213225460 7555366919256620241	69	227.381
1399	4320651071020341609502042221583629017824960697 97298319010519586638294530046877232710261919237860 80297556081	42039208624128031668574167141111350547218227997805 91800512119520737103636748522093434395973757220897 8348457	107	354.196
1399	28875361 4320651071020341609502042221583629017824960697 97298319010519586638294530046877232710261919237860 80297556081	12138973251760102246495114314739281882484738792169 53090334274360364308536055264416643939135591862797 817252879667977	115	378.979

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-09-07T20:58:12	kkmrkkblmbrbk	Manual testing	1000000000	100000000000	12	-		-	-	0.151	-	-	44.105%
unknown			30000000000	700000000000		-		-	-	1.572	-	-	48.165%

ECM factoring results:

ECM Summary

B1	B2	factor	curves	GHz-days
44000000	4400000000		14,484	216.8
110000000	11000000000		1,317	49.29
200000000	20000000000		205	13.95
200000000	2000000000000		423	955.7
850000000	15892628251516	97298319010519586638294530046877232710261919237860 80297556081	1	17.78

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-10-13T12:01:00	Carsten Kossendey	durandal	44000000	4400000000						1	0.015
2010-12-30T01:34:00	James Hintz	NEW_OMFG	44000000	4400000000						3	0.045
2010-12-30T15:27:00	ANONYMOUS	13_052010	44000000	4400000000						3	0.045
2011-01-01T04:20:00	James Hintz	NEW_OMFG	44000000	4400000000						3	0.045
2011-01-03T22:14:00	James Hintz	NEW_OMFG	44000000	4400000000						3	0.045
2011-01-06T01:02:00	James Hintz	NEW_OMFG	44000000	4400000000						3	0.045
2011-01-06T01:20:00	James Hintz	13_052010	44000000	4400000000						3	0.045
2011-01-07T20:53:00	James Hintz	lappy_010411	44000000	4400000000						3	0.045
2011-01-09T16:36:00	James Hintz	NEW_OMFG	44000000	4400000000						11	0.165
2011-01-10T14:42:00	James Hintz	17_051310	44000000	4400000000						3	0.045
2011-12-13T19:44:00	Michael Kenn	Manual testing	44000000	4400000000						14448	216.3
2013-04-01T20:26:00	Never Odd Or Even	Sandy_Snr	200000000	20000000000						205	13.95
2013-05-07T20:38:00	Never Odd Or Even	Note	200000000	2000000000000						1	2.259
2013-05-12T17:42:00	Never Odd Or Even	Manual testing	200000000	2000000000000						422	953.4
2015-08-03T08:41:00	BloodIce	Mjolnir4	110000000	11000000000						50	1.871
2015-09-29T11:24:37	BloodIce	URM2	110000000	11000000000						1067	39.93
2020-02-25T02:49:20	James Hintz	work_5_9_2019	110000000	11000000000						100	3.742
2020-03-31T07:56:28	James Hintz	work_5_9_2019	110000000	11000000000						100	3.742
2020-12-19T23:37:46	Ryan Propper	Manual testing	850000000	15892628251516	97298319010519586638294530046877232710261919237860 80297556081	202.598	1	2	16318523421442679557	1	17.78

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-25T08:10:52

csaba

office

DAC8C51337782C__

2017-09-27T07:34:22

Oliver Kruse

Manual testing

28875361

4320651071020341609502042221583629017824960697

DAC8C51337782C__

2017-10-09T00:32:45

Chang Chia-Tche

homura

DAC8C51337782C__

2017-10-12T13:29:14

kkmrkkblmbrbk

Manual testing

28875361

4320651071020341609502042221583629017824960697

DAC8C51337782C__

2020-04-17T12:30:34

Oliver Kruse

IOS-1

28875361

4320651071020341609502042221583629017824960697

CB9A0C7A82105618

2020-08-12T10:14:41

_p95holder_

TFL16_PRPt11-E_b

28875361

4320651071020341609502042221583629017824960697

CB9A0C7A82105618

2020-12-20T05:09:24

mikr

Nitron

28875361

4320651071020341609502042221583629017824960697

97298319010519586638294530046877232710261919237860
80297556081

PRP

2020-12-20T12:21:07

Maciej Kmieciak

Asrock

28875361

4320651071020341609502042221583629017824960697

97298319010519586638294530046877232710261919237860
80297556081

PRP

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 = 30000000000, B2 = 700000000000 (stage 2)

B1 = 30000000000 (stage 1)

B1 = 1000000000, B2 = 100000000000 (stage 2)

B1 = 1000000000 (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	<	123M	PrimeNet wavefront