M450383 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	65.9748	71.6418%	3000000	100000000	0.1415	7.2015%	66.1163	73.6840%	2.0422%
PrimeNet	2⁴⁰	0.0000	52.5000%	4500	150000	0.0002	18.3590%	0.0002	61.2205%	8.7205%
GPU72	2⁴⁴	0.0000	56.8182%	8000	240000	0.0004	13.6528%	0.0004	62.7137%	5.8955%
Difference	+23	+65.9748	+14.8236%	+2992000	+99760000	+0.1411	-6.4512%	+66.1159	+10.9703%	+10.9703%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
450383	1001895367681140451858881103	28	89.695	1112270409497184009897 3 × 11 × 33705163924157091209	2010-04-07	11	33705163924157091209	495,095,611	3.136e+10	5.857e+10
450383	2594674494286576572658627241	28	91.068	2880520017725554220140 2² × 5 × 179 × 241877861 × 3326532353	2020-09-21	241877861	3326532353	2.034e+9	7.0008	8.4068
450383	15387356328327201432150617617	29	93.636	17082523461506319545976 2³ × 3³ × 13 × 43 × 811 × 4520099 × 38593811	2016-10-19	4520099	38593811	7.439e+9	0.1089	0.1571

exponent	prime factors	composite factor	digits	bits*
450383	1001895367681140451858881103 2594674494286576572658627241	25995923564661267959024900868634461597946270982159 26823	55	180.762
450383	1001895367681140451858881103 15387356328327201432150617617	15416521026210104817337872271251494933520627388020 191551	56	183.331
450383	2594674494286576572658627241 15387356328327201432150617617	39925180999609735081250527022766210206871278901530 704697	56	184.703
450383	1001895367681140451858881103 2594674494286576572658627241 15387356328327201432150617617	40000853897340078212624060862070726986809356853322 317187712309788629718385526640791	83	274.398

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2002-06-23T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.004	-	-	1.725%
2002-09-07T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.007	-	-	2.454%
2016-03-17T18:48:19	alpertron	Manual testing	3000000	100000000	12	-		-	-	0.141	-	-	7.202%
2016-10-19T11:58:53	kkmrkkblmbrbk	Manual testing	5000000	40000000	12		15387356328327201432150617617	29	93.636	0.118	0.011	0.236	6.344%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2001-03-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.021	-	-
2002-02-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.043	-	-
2003-12-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.085	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.716 GHz-days
Estimated T-Level:	26.836

Digits	B1	Curves	Complete	FacMiss
20	11000	513 / 100	5.130	0.577%
25	50000	513 / 280	1.832	15.955%
30	250000	235 / 640	0.367	69.248%

New Calculation Method

Total ECM effort:	18.716 GHz-days
Estimated T-Level:	26.836

Digits	B1	Complete	FacMiss
20	11000	28.551	0.000%
25	50000	3.642	2.620%
30	250000	0.356	70.082%
35	1000000	0.028	97.267%
40	3000000	0.002	99.821%

ECM Summary

B1	B2	factor	curves	GHz-days
		1001895367681140451858881103	1	0.00000e+0
50000	5000000		278	3.581
250000	25000000		144	9.274
250000	25000000	2594674494286576572658627241	91	5.861

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-16T05:40:00	Team_Bundu	bundu1	50000	5000000						1	0.013
2007-09-05T20:29:00	Chad Davis	Bayes	50000	5000000						1	0.013
2007-11-10T04:32:00	Chad Davis	Bayes	50000	5000000						1	0.013
2008-01-14T14:20:00	Steve Scott	Abit-4	50000	5000000						3	0.039
2008-05-04T00:23:00	Sturle Sunde	v17	50000	5000000						3	0.039
2008-09-24T02:15:00	Sturle Sunde	v22	50000	5000000						3	0.039
2008-11-24T20:28:00	Sturle Sunde	v22	50000	5000000						3	0.039
2009-01-14T23:24:00	Sturle Sunde	v21	50000	5000000						3	0.039
2009-03-01T05:47:00	Sturle Sunde	v21	50000	5000000						3	0.039
2009-04-01T19:28:00	Sturle Sunde	v22	50000	5000000						3	0.039
2009-06-05T18:00:00	linded	KCPB8P0-NET214	50000	5000000						3	0.039
2009-07-07T10:15:00	Lackó	Iroda_Andras	50000	5000000						3	0.039
2009-07-12T10:09:00	Architects Cubed	m1_47	50000	5000000						3	0.039
2009-09-14T16:02:00	Sturle Sunde	TOR-ST-0017	50000	5000000						3	0.039
2009-09-16T20:18:00	JimBa	ISAserv	50000	5000000						3	0.039
2009-10-03T12:17:00	David Bessell	L301	50000	5000000						3	0.039
2009-10-22T15:53:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2009-11-03T23:17:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2009-11-17T06:43:00	Sturle Sunde	FLB-ST-0037	50000	5000000						3	0.039
2009-12-03T18:10:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2009-12-19T21:53:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-01-04T14:23:00	James Hintz	03_122109	50000	5000000						3	0.039
2010-01-20T01:44:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-01-30T20:30:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-02-09T01:10:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-02-25T01:52:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.039
2010-03-25T21:53:00	David Bessell	L301	50000	5000000						3	0.039
2010-04-07T20:15:00	Sturle Sunde	FKWXPTESTEIK			1001895367681140451858881103	89.695		1		1	-
2015-04-24T10:40:00	TJAOI	Manual testing	50000	5000000						22	0.283
2016-01-22T16:32:28	TJAOI	Manual testing	50000	5000000						90	1.159
2016-04-29T14:22:22	TJAOI	Manual testing	50000	5000000						91	1.172
2018-01-05T12:37:48	TJAOI	Manual testing	250000	25000000						44	2.834
2020-09-21T16:17:32	nordi	sweet16	250000	25000000	2594674494286576572658627241	91.068	91	2	3963231517742581	91	5.861
2020-09-25T08:51:25	TJAOI	Manual testing	250000	25000000						22	1.417
2020-09-25T08:52:17	TJAOI	Manual testing	250000	25000000						78	5.024

date	userid	compid	res64	spent (GHz-days)
2002-02-03T00:00:00	ANONYMOUS	v4_computers	12D4241A73D6E148	0.005

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-24T21:26:08

Oliver Kruse

Doppelherz

1001895367681140451858881103

15387356328327201432150617617

95C279EC5FA056E2

2017-09-27T07:33:40

Oliver Kruse

Manual testing

1001895367681140451858881103

15387356328327201432150617617

95C279EC5FA056__

2017-10-13T06:35:13

Oliver Kruse

Threadripper

95C279EC5FA056__

2017-12-16T14:19:25

ATH

xps

1001895367681140451858881103

15387356328327201432150617617

95C279EC5FA056__

2020-04-18T19:34:41

Oliver Kruse

AddPrpType5

1001895367681140451858881103

15387356328327201432150617617

ECBEA2CF514369__

2020-09-21T16:24:13

ATH

ec2-PRPCF

1001895367681140451858881103

2594674494286576572658627241

15387356328327201432150617617

ECBEA2CF51436903

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 = 3000000, B2 = 100000000 (P-1 stage 2)

B1 = 5000000, B2 = 40000000 (P-1 stage 2)

B1 = 5000000 (P-1 stage 1)

B1 = 3000000 (P-1 stage 1)

B1 = 65536, B2 = 6553600 (P-1 stage 2)

B1 = 32768, B2 = 3276800 (P-1 stage 2)

B1 = 65536 (P-1 stage 1)

B1 = 32768 (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