M2232887 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	2⁶⁸	26.6941	67.6471%	2000000	65000000	0.5179	7.0376%	27.2120	69.9239%	2.2769%
PrimeNet	2⁵⁸	0.0172	62.0690%	10000	180000	0.0018	2.8709%	0.0190	63.1579%	1.0890%
GPU72	2⁶²	0.2751	64.5161%	11000	180000	0.0019	1.6318%	0.2771	65.0951%	0.5790%
Difference	+6	+26.4189	+3.1309%	+1989000	+64820000	+0.5160	+5.4059%	+26.9349	+4.8288%	+4.8288%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2232887	119431085869690021892803081	27	86.626	26743647544566747420 2² × 3 × 5 × 445727459076112457	2020-07-20	5	445727459076112457	8,203,417	2.315e+9	4.324e+9

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-03-27T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.227%
2010-10-26T20:54:00	Oscar Östlin		75011	75011		-		-	-	0.007	-	-	0.675%
2011-01-13T21:34:00	Oscar Östlin		85000	1615000		-		-	-	0.016	-	-	2.185%
2014-05-26T23:57:00	Jocelyn Larouche	Manual testing	113745	113745		-		-	-	0.011	-	-	0.869%
2014-09-30T23:23:00	Jocelyn Larouche	Manual testing	142490	142490		-		-	-	0.014	-	-	0.987%
2015-11-26T09:47:44	Alexander Dubrovin	Manual testing	1300000	11000000	12	-		-	-	0.174	-	-	4.871%
2016-01-07T10:33:51	Alexander Dubrovin	Manual testing	2000000	65000000	12	-		-	-	0.518	-	-	7.038%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-02-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.017	-	-
2016-02-23T16:29:09	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.052	-	-
2009-01-11T07:18:00	Sturle Sunde	morovan.ifi	2⁶⁰	2⁶¹		-	-	0.069	-	-
2012-04-20T16:48:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.138	-	-
2013-01-23T08:24:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.440	-	-
2015-03-10T10:44:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.879	-	-
2015-03-10T10:44:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.673	-	-
2015-10-25T20:35:11	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.347	-	-
2016-12-24T00:01:01	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.693	-	-
2019-04-08T13:40:38	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.39	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	7.634 GHz-days
Estimated T-Level:	4.450

Digits	B1	Curves	Complete	FacMiss
20	11000	89 / 100	0.890	40.882%
25	50000	89 / 280	0.318	72.729%

New Calculation Method

Total ECM effort:	7.634 GHz-days
Estimated T-Level:	4.450

Digits	B1	Complete	FacMiss
20	11000	2.871	5.664%
25	50000	0.259	77.146%
30	250000	0.016	98.415%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		87	7.463
50000	5000000	119431085869690021892803081	2	0.172

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-11T01:10:00	jingfired	Hoss	50000	5000000						3	0.257
2009-12-25T07:13:00	Piepen	T41-2000	50000	5000000						3	0.257
2011-10-03T15:50:00	S36049	Wolle5	50000	5000000						3	0.257
2013-06-22T11:45:00	Xyzzy	J	50000	5000000						3	0.257
2015-03-22T17:03:00	Jason U	Server7	50000	5000000						3	0.257
2016-01-28T12:44:17	dragon325	Falken-i7-920	50000	5000000						3	0.257
2016-03-20T13:08:09	Bruce	Desk6	50000	5000000						3	0.257
2016-07-11T18:36:16	Bruce	Desk6	50000	5000000						3	0.257
2016-11-27T17:27:21	Bruce	Desk6	50000	5000000						3	0.257
2017-05-18T16:57:09	Bruce	Desk6	50000	5000000						3	0.257
2017-11-30T16:04:01	Bruce	Desk6	50000	5000000						3	0.257
2018-04-26T23:30:33	Bruce	Desk6	50000	5000000						3	0.257
2018-10-16T09:12:14	Bruce	Desk6	50000	5000000						3	0.257
2020-02-15T22:02:44	mnd9	colab2	50000	5000000						3	0.257
2020-02-22T23:15:53	mnd9	office2	50000	5000000						3	0.257
2020-02-29T15:27:46	Sergey Nosov	TS140-02	50000	5000000						3	0.257
2020-03-07T00:19:54	mnd9	75201b	50000	5000000						3	0.257
2020-03-14T14:26:47	Janneman	JanP03	50000	5000000						3	0.257
2020-03-24T21:37:33	mnd9	libproj	50000	5000000						3	0.257
2020-04-03T21:33:11	mnd9	colab	50000	5000000						3	0.257
2020-04-18T15:23:51	Oliver Kruse	IOS-1	50000	5000000						3	0.257
2020-04-26T03:05:44	mnd9	221Rb	50000	5000000						3	0.257
2020-05-05T08:42:49	Yxinity	Olga	50000	5000000						3	0.257
2020-05-17T02:36:35	mnd9	50871b	50000	5000000						3	0.257
2020-06-05T21:16:16	GAN	KL-SCH02	50000	5000000						3	0.257
2020-06-22T06:59:15	GAN	LMS-03	50000	5000000						3	0.257
2020-07-01T22:16:39	MarkS	desktop-i7	50000	5000000						3	0.257
2020-07-08T11:45:28	MarkS	laptop64	50000	5000000						3	0.257
2020-07-14T11:40:59	GAN	LMS-08	50000	5000000						3	0.257
2020-07-20T15:31:48	GAN	LMS-16	50000	5000000	119431085869690021892803081	86.626	2	2	1233553044877412	2	0.172

date	userid	compid	res64	spent (GHz-days)
1999-02-14T00:00:00	ANONYMOUS	v4_computers	4887952C87478F79	0.147
2018-04-20T16:46:44	kkmrkkblmbrbk	old	4887952C87478F79	0.147

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 = 2000000, B2 = 65000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 1300000, B2 = 11000000 (P-1 stage 2)

B1 = 1300000 (P-1 stage 1)

B1 = 85000, B2 = 1615000 (P-1 stage 2)

B1 = 142490 (P-1 stage 1)

B1 = 113745 (P-1 stage 1)

B1 = 85000 (P-1 stage 1)

B1 = 75011 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (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