M914867 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	32.4789	70.1493%	1000000	30000000	0.0907	5.7283%	32.5697	71.8592%	1.7099%
PrimeNet	2⁴⁰	0.0000	50.0000%	8000	360000	0.0010	23.3580%	0.0010	61.6790%	11.6790%
GPU72	2⁴⁴	0.0000	54.5455%	15000	600000	0.0016	18.0186%	0.0017	62.7357%	8.1903%
Difference	+23	+32.4789	+15.6038%	+985000	+29400000	+0.0891	-12.2903%	+32.5680	+9.1235%	+9.1235%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
914867	2119339264221156225751	22	70.844	1158277249163625 3 × 5³ × 3088739331103	2009-09-05	125	3088739331103	477.59	5,917.3	11,052

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-04-20T00:00:00	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.004	-	-	1.307%
2002-07-20T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.007	-	-	1.955%
2002-12-16T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.015	-	-	2.744%
2003-08-08T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.029	-	-	3.659%
2016-03-17T18:54:10	alpertron	Manual testing	200000	5000000	6	-		-	-	0.016	-	-	3.271%
unknown			1000000	30000000		-		-	-	0.091	-	-	5.728%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-12-14T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.010	-	-
2001-10-06T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.021	-	-
2003-04-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.042	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	14.042 GHz-days
Estimated T-Level:	25.344

Digits	B1	Curves	Complete	FacMiss
20	11000	323 / 100	3.230	3.892%
25	50000	323 / 280	1.154	31.486%
30	250000	44 / 640	0.069	93.351%

New Calculation Method

Total ECM effort:	14.042 GHz-days
Estimated T-Level:	25.344

Digits	B1	Complete	FacMiss
20	11000	14.731	0.000%
25	50000	1.613	19.937%
30	250000	0.131	87.717%
35	1000000	0.009	99.131%

ECM Summary

B1	B2	factor	curves	GHz-days
		2119339264221156225751	1	0.00000e+0
50000	5000000		279	7.851
250000	25000000		44	6.191

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-09-09T06:39:00	Chad Davis	Bayes	50000	5000000						1	0.028
2008-01-31T09:20:00	Sturle Sunde	lara-test	50000	5000000						3	0.084
2008-11-03T17:40:00	Sturle Sunde	v23	50000	5000000						3	0.084
2009-02-20T23:44:00	Sturle Sunde	v21	50000	5000000						3	0.084
2009-06-13T21:02:00	arnaud	SRV-150	50000	5000000						3	0.084
2009-09-05T23:54:00	JimBa	FWserv			2119339264221156225751	70.844		1		1	-
2016-03-11T13:51:02	TJAOI	Manual testing	50000	5000000						85	2.392
2016-12-09T18:18:55	TJAOI	Manual testing	50000	5000000						90	2.533
2018-03-16T09:32:36	TJAOI	Manual testing	50000	5000000						91	2.561
2020-10-30T10:27:25	TJAOI	Manual testing	250000	25000000						44	6.191

date	userid	compid	res64	spent (GHz-days)
2001-12-22T00:00:00	ANONYMOUS	v4_computers	4D0792836F6B7E04	0.022

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-28T09:02:03

Oliver Kruse

GTX-0

2119339264221156225751

E5F1E2D4DB91C1__

2017-10-14T20:22:02

Oliver Kruse

GTX-1

E5F1E2D4DB91C1__

2017-12-22T05:53:45

ATH

ec2-1xf

2119339264221156225751

E5F1E2D4DB91C1__

2020-04-23T13:52:51

Oliver Kruse

AddPrpType5

2119339264221156225751

D8B2B4BF0C5AFC__

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 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 131072, B2 = 13107200 (P-1 stage 2)

B1 = 200000, B2 = 5000000 (P-1 stage 2)

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

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

B1 = 200000 (P-1 stage 1)

B1 = 131072 (P-1 stage 1)

B1 = 16384, B2 = 1638400 (P-1 stage 2)

B1 = 65536 (P-1 stage 1)

B1 = 32768 (P-1 stage 1)

B1 = 16384 (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