M382763 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	77.6301	71.6418%	15000000	1365000000	1.2448	11.4206%	78.8748	74.8805%	3.2387%
PrimeNet	2⁴⁰	0.0000	52.5000%	4000	120000	0.0001	17.2065%	0.0001	60.6731%	8.1731%
GPU72	2⁴⁴	0.0000	56.8182%	7000	200000	0.0002	12.7718%	0.0003	62.3333%	5.5151%
Difference	+23	+77.6301	+14.8236%	+14993000	+1364800000	+1.2445	-1.3512%	+78.8746	+12.5472%	+12.5472%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
382763	2857573119208657903	19	61.309	3732823077477 3 × 13 × 95713412243	2007-12-31	13	95713412243	0.8750	73.303	136.91

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-11-10T00:00:00	ANONYMOUS	v4_computers	50000	1000000		-		-	-	0.001	-	-	1.440%
2002-06-15T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.003	-	-	1.676%
2002-08-24T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.006	-	-	2.391%
2021-07-06T03:32:53	George Woltman	Manual testing	15000000	1365000000		-		-	-	1.245	-	-	11.421%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-07-06T03:32:54	George Woltman	Manual testing	7500000	592500000	2	7			-	-	0.520

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-11-18T00:00:00	Sturle Sunde	v4_computers	?	?	2857573119208657903	61.309	19	0.072	0.008	0.151
1999-12-01T00:00:00	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.002	-	-
2000-04-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.006	-	-
2022-03-07T06:37:23	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.006	-	-
2001-03-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.025	-	-
2002-01-28T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.050	-	-
2004-01-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.100	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.499 GHz-days
Estimated T-Level:	26.125

Digits	B1	Curves	Complete	FacMiss
20	11000	423 / 100	4.230	1.425%
25	50000	423 / 280	1.511	22.016%
30	250000	144 / 640	0.225	79.838%

New Calculation Method

Total ECM effort:	10.499 GHz-days
Estimated T-Level:	26.125

Digits	B1	Complete	FacMiss
20	11000	23.822	0.000%
25	50000	3.021	4.875%
30	250000	0.287	75.083%
35	1000000	0.022	97.834%
40	3000000	0.001	99.860%

ECM Summary

B1	B2	factor	curves	GHz-days
		2857573119208657903	2	0.00000e+0
50000	5000000		279	2.932
250000	25000000		144	7.567

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-13T17:57:00	Team_Bundu	bundu1	50000	5000000						1	0.011
2007-08-30T00:52:00	Chad Davis	Bayes	50000	5000000						1	0.011
2007-09-26T02:55:00	Team_Bundu	bundu4	50000	5000000						1	0.011
2007-12-31T20:31:00	Steve Scott	Abit	50000	5000000						1	0.011
2007-12-31T22:45:00	Steve Scott	Abit	50000	5000000						1	0.011
2007-12-31T23:09:00	Chad Davis	Bayes			2857573119208657903	61.309		1		1	-
2008-01-01T01:51:00	Sturle Sunde	minister			2857573119208657903	61.309		1		1	-
2013-12-07T10:31:00	Richard B. Woods	Puttputt	50000	5000000						3	0.032
2013-12-09T06:49:00	Richard B. Woods	Puttputt	50000	5000000						6	0.063
2014-10-31T13:35:00	TJAOI	Manual testing	50000	5000000						34	0.357
2015-03-20T17:48:00	TJAOI	Manual testing	50000	5000000						50	0.525
2016-01-04T14:28:16	TJAOI	Manual testing	50000	5000000						90	0.946
2016-05-27T13:48:57	TJAOI	Manual testing	50000	5000000						91	0.956
2017-12-22T12:11:56	TJAOI	Manual testing	250000	25000000						44	2.312
2020-01-27T11:11:11	TJAOI	Manual testing	250000	25000000						100	5.255

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-23T06:15:26

Oliver Kruse

Doppelherz

2857573119208657903

AAF8454F8A8D25__

2017-09-24T17:46:29

Oliver Kruse

Manual testing

2857573119208657903

AAF8454F8A8D25__

2017-11-07T01:12:46

kkmrkkblmbrbk

c4.xlarge

2857573119208657903

AAF8454F8A8D25__

2020-04-18T08:59:05

Oliver Kruse

AddPrpType5

2857573119208657903

F7CDF6BACD24AE__

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 = 15000000, B2 = 1365000000 (P-1 stage 2)

B1 = 15000000 (P-1 stage 1)

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

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

B1 = 50000, B2 = 1000000 (P-1 stage 2)

B1 = 65536 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 32768 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁰

10¹

10²

10³

10⁴

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10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

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