M366517 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	81.0710	71.6418%	131072	13107200	0.0118	3.2145%	81.0828	72.5534%	0.9116%
PrimeNet	2⁴⁰	0.0000	52.5000%	3600	110000	0.0001	16.7142%	0.0001	60.4393%	7.9393%
GPU72	2⁴⁴	0.0000	56.8182%	6500	190000	0.0002	12.4803%	0.0002	62.2074%	5.3892%
Difference	+23	+81.0710	+14.8236%	+124572	+12917200	+0.0115	-9.2658%	+81.0826	+10.3459%	+10.3459%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
366517	2632687807705869449	19	61.191	3591494811572 2² × 897873702893	2007-08-28	4	897873702893	1.1269	687.65	1,284.3

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-06-15T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.003	-	-	1.663%
2002-08-24T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.006	-	-	2.375%
2003-04-03T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.012	-	-	3.215%
2006-01-15T00:00:00	Jocelyn Larouche	v4_computers	366517	366517		-		-	-	0.005	-	-	1.351%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-11-24T00:00:00	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.002	-	-
2000-04-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.007	-	-
2022-03-07T06:37:12	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.007	-	-
2001-03-11T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.026	-	-
2002-02-10T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.052	-	-
2004-01-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.105	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.498 GHz-days
Estimated T-Level:	26.125

Digits	B1	Curves	Complete	FacMiss
20	11000	425 / 100	4.250	1.396%
25	50000	425 / 280	1.518	21.859%
30	250000	144 / 640	0.225	79.838%

New Calculation Method

Total ECM effort:	10.498 GHz-days
Estimated T-Level:	26.125

Digits	B1	Complete	FacMiss
20	11000	23.899	0.000%
25	50000	3.028	4.840%
30	250000	0.287	75.049%
35	1000000	0.022	97.832%
40	3000000	0.001	99.860%

ECM Summary

B1	B2	factor	curves	GHz-days
		2632687807705869449	1	0.00000e+0
50000	5000000		281	2.947
250000	25000000		144	7.551

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-13T07:38:00	Team_Bundu	bundu1	50000	5000000						1	0.010
2007-08-28T17:27:00	Chad Davis	Bayes			2632687807705869449	61.191		1		1	-
2013-12-06T17:29:00	Richard B. Woods	Puttputt	50000	5000000						3	0.031
2013-12-08T01:39:00	Richard B. Woods	Puttputt	50000	5000000						3	0.031
2013-12-08T18:40:00	Richard B. Woods	Puttputt	50000	5000000						3	0.031
2014-10-17T12:39:00	TJAOI	Manual testing	50000	5000000						40	0.420
2015-02-13T11:27:00	TJAOI	Manual testing	50000	5000000						50	0.524
2015-12-04T11:30:26	TJAOI	Manual testing	50000	5000000						90	0.944
2016-07-01T10:27:27	TJAOI	Manual testing	50000	5000000						91	0.954
2018-09-14T13:11:36	TJAOI	Manual testing	250000	25000000						44	2.307
2019-10-28T14:10:10	TJAOI	Manual testing	250000	25000000						100	5.244

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-23T03:47:57

Oliver Kruse

Doppelherz

2632687807705869449

F024E92C5ACA2C__

2017-09-24T17:46:19

Oliver Kruse

Manual testing

2632687807705869449

F024E92C5ACA2C__

2017-11-07T01:42:07

kkmrkkblmbrbk

c4.xlarge

2632687807705869449

F024E92C5ACA2C__

2020-04-18T15:20:14

Oliver Kruse

AddPrpType5

2632687807705869449

369309049034DB__

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 = 131072, B2 = 13107200 (P-1 stage 2)

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

B1 = 366517 (P-1 stage 1)

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

B1 = 131072 (P-1 stage 1)

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