M11027 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	2,694.6511	79.1045%	10000000000	100000000000	2.8333	17.2157%	2,697.4844	82.7018%	3.5973%
PrimeNet	2⁴⁰	0.0000	65.0000%	500	10000	0.0000	3.1576%	0.0000	66.1052%	1.1052%
GPU72	2⁴⁴	0.0002	68.1818%	500	10000	0.0000	1.3023%	0.0002	68.5962%	0.4144%
Difference	+23	+2,694.6509	+10.9227%	+9999999500	+99999990000	+2.8333	+15.9135%	+2,697.4842	+14.1056%	+14.1056%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
11027	28836387219176889205055127927015005494573676565527 9	51	167.624	13075354683584333547227318367196429443445033357 27967 × 447137 × 1045603401396896643453206709042278483	2017-04-15	447137	1045603401396896643453206709042278483	1.577e+13	1.083e+25	2.023e+25

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-04-29T00:00:00	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.000	-	-	1.660%
2001-07-17T00:00:00	Alex Kruppa	v4_computers	1000000	100000000		-		-	-	0.001	-	-	4.227%
2001-09-22T00:00:00	ANONYMOUS	v4_computers	43000000	4290000000		-		-	-	0.052	-	-	10.498%
2002-04-28T00:00:00	ANONYMOUS	v4_computers	16384	1638400		-		-	-	1.99153e-5	-	-	0.526%
2002-06-09T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	3.98305e-5	-	-	0.867%
2002-07-14T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	7.96610e-5	-	-	1.323%
2003-02-02T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.000	-	-	1.899%
2003-03-27T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.000	-	-	2.591%
2003-04-03T00:00:00	ANONYMOUS	v4_computers	524288	52428800		-		-	-	0.001	-	-	3.391%
2003-04-27T00:00:00	ANONYMOUS	v4_computers	1048576	104857600		-		-	-	0.001	-	-	4.291%
2003-05-19T00:00:00	ANONYMOUS	v4_computers	2097152	209715200		-		-	-	0.003	-	-	5.283%
2003-07-06T00:00:00	ANONYMOUS	v4_computers	4194304	419430400		-		-	-	0.005	-	-	6.361%
2003-09-29T00:00:00	ANONYMOUS	v4_computers	8388608	838860800		-		-	-	0.010	-	-	7.518%
2003-09-29T00:00:00	ANONYMOUS	v4_computers	16777216	1677721600		-		-	-	0.020	-	-	8.748%
2006-01-15T00:00:00	Jocelyn Larouche	v4_computers	110000000	110000000		-		-	-	0.021	-	-	5.845%
2006-01-15T00:00:00	Jocelyn Larouche	v4_computers	200000000	200000000		-		-	-	0.038	-	-	6.673%
2006-01-15T00:00:00	Jocelyn Larouche	v4_computers	300000000	300000000		-		-	-	0.057	-	-	7.258%
2010-05-17T06:11:00	James Hintz	home2	2000000000	50000000000		-		-	-	0.877	-	-	15.783%
2012-12-31T00:59:00	bcp19	Toshiba-740Q	10000000000	100000000000		-		-	-	2.833	-	-	17.216%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-09-14T00:00:00	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.054	-	-
1999-12-30T00:00:00	ANONYMOUS	v4_computers	2⁵³	2⁵⁴		-	-	0.109	-	-
2000-06-28T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁵		-	-	0.435	-	-
2000-06-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁵		-	-	0.435	-	-
2000-08-24T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.871	-	-
2002-07-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	1.741	-	-
2016-02-23T04:50:56	LaurV	Manual testing	2⁵⁷	2⁵⁸		-	-	1.741	-	-
2010-07-20T15:24:00	George Woltman	Manual testing	2⁵⁸	2⁵⁹		-	-	3.482	-	-
2010-07-20T15:24:00	George Woltman	Manual testing	2⁵⁹	2⁶⁰		-	-	6.964	-	-
2012-11-08T17:57:00	bcp19	Manual testing	2⁶⁰	2⁶¹		-	-	13.93	-	-
2015-07-16T00:48:00	snme2pm1	G4	2⁶¹	2⁶²		-	-	27.86	-	-
2015-11-14T05:15:34	snme2pm1	G1	2⁶²	2⁶³		-	-	89.02	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	486.374 GHz-days
Estimated T-Level:	44.033

Digits	B1	Curves	Complete	FacMiss
20	11000	8197 / 100	81.970	0.000%
25	50000	8197 / 280	29.275	0.000%
30	250000	8197 / 640	12.808	0.000%
35	1000000	8197 / 1566	5.234	0.532%
40	3000000	7827 / 4588	1.706	18.156%
45	11000000	7422 / 9201	0.807	44.633%
50	44000000	1547 / 16550	0.093	91.076%
55	110000000	76 / 40830	0.002	99.814%

New Calculation Method

Total ECM effort:	486.374 GHz-days
Estimated T-Level:	44.033

Digits	B1	Complete	FacMiss
20	11000	2,147.667	0.000%
25	50000	767.861	0.000%
30	250000	201.271	0.000%
35	1000000	42.760	0.000%
40	3000000	7.916	0.036%
45	11000000	1.292	27.463%
50	44000000	0.189	82.747%
55	110000000	0.026	97.481%
60	260000000	0.003	99.684%

ECM Summary

B1	B2	factor	curves	GHz-days
1000000	100000000		370	1.012
3000000	300000000		405	3.324
11000000	1100000000		5,875	176.8
44000000	4400000000		1,397	168.2
44000000	4400000000	28836387219176889205055127927015005494573676565527 9	19	2.287
44000000	240000000000		50	110.8
110000000	11000000000		76	22.87
113000000	1100000000		5	1.092

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-04-15T18:53:00	Matt	Matt	1000000	100000000						370	1.012
2008-11-09T03:46:00	Jayson King	atlas	11000000	1100000000						3	0.090
2008-11-11T19:12:00	Jayson King	atlas	3000000	300000000						5	0.041
2008-12-09T06:27:00	Jayson King	atlas	3000000	300000000						100	0.821
2009-01-23T22:56:00	klajok	Manual testing	3000000	300000000						100	0.821
2009-03-03T20:08:00	klajok	Manual testing	3000000	300000000						100	0.821
2009-04-23T06:26:00	eteo	stephanie	44000000	4400000000						100	12.04
2009-04-24T06:31:00	Carsten Kossendey	durandal	11000000	1100000000						1	0.030
2009-05-12T08:09:00	unconnected	Q6600-turk	3000000	300000000						100	0.821
2009-06-12T03:35:00	unconnected	saudi-E5405	44000000	4400000000						100	12.04
2009-09-25T12:58:00	James Hintz	01_091909	11000000	1100000000						3	0.090
2009-09-25T13:00:00	James Hintz	08_091909	11000000	1100000000						3	0.090
2009-09-25T13:01:00	James Hintz	03_091909	11000000	1100000000						3	0.090
2009-09-25T13:15:00	James Hintz	04_091909	11000000	1100000000						3	0.090
2009-09-25T13:29:00	James Hintz	07_091909	11000000	1100000000						3	0.090
2009-09-25T13:30:00	James Hintz	05_091909	11000000	1100000000						3	0.090
2009-09-25T14:06:00	James Hintz	12_091909	11000000	1100000000						3	0.090
2009-09-25T14:18:00	James Hintz	06_091909	11000000	1100000000						3	0.090
2009-09-25T14:27:00	James Hintz	11_091909	11000000	1100000000						3	0.090
2009-09-25T14:37:00	James Hintz	02_091909	11000000	1100000000						3	0.090
2009-09-26T06:25:00	James Hintz	10_091909	11000000	1100000000						3	0.090
2009-09-26T08:17:00	James Hintz	19_091909	11000000	1100000000						3	0.090
2009-09-26T08:50:00	James Hintz	09_091909	11000000	1100000000						3	0.090
2009-09-27T08:15:00	James Hintz	20_091909	11000000	1100000000						3	0.090
2009-09-28T15:41:00	James Hintz	17_091909	11000000	1100000000						3	0.090
2009-09-29T10:13:00	James Hintz	13_091909	11000000	1100000000						3	0.090
2009-09-29T10:15:00	James Hintz	15_091909	11000000	1100000000						3	0.090
2009-09-29T10:21:00	James Hintz	18_091909	11000000	1100000000						3	0.090
2009-09-29T12:41:00	James Hintz	16_091909	11000000	1100000000						3	0.090
2009-11-20T13:30:00	Carsten Kossendey	Manual testing	11000000	1100000000						10	0.301
2010-03-12T01:13:00	James Hintz	16_122109	11000000	1100000000						50	1.505
2010-03-13T02:13:00	James Hintz	16_122109	11000000	1100000000						50	1.505
2010-03-14T03:13:00	James Hintz	16_122109	11000000	1100000000						50	1.505
2010-03-15T04:14:00	James Hintz	16_122109	11000000	1100000000						50	1.505
2010-03-16T05:14:00	James Hintz	16_122109	11000000	1100000000						50	1.505
2010-03-17T11:15:00	James Hintz	16_122109	11000000	1100000000						50	1.505
2010-03-18T08:10:00	Bud	annan	11000000	1100000000						10	0.301
2010-03-18T21:20:00	James Hintz	16_122109	11000000	1100000000						50	1.505
2010-03-19T22:32:00	James Hintz	16_122109	11000000	1100000000						50	1.505
2010-03-20T23:37:00	James Hintz	16_122109	11000000	1100000000						50	1.505
2010-03-22T00:42:00	James Hintz	16_122109	11000000	1100000000						50	1.505
2010-03-24T17:08:00	James Hintz	16_122109	44000000	4400000000						30	3.611
2010-03-27T05:32:00	James Hintz	16_122109	44000000	4400000000						30	3.611
2010-03-29T17:44:00	James Hintz	16_122109	44000000	4400000000						30	3.611
2010-04-01T07:18:00	James Hintz	16_122109	44000000	4400000000						30	3.611
2010-04-03T16:24:00	James Hintz	16_122109	44000000	4400000000						30	3.611
2010-04-06T08:41:00	James Hintz	16_122109	44000000	4400000000						30	3.611
2010-04-10T02:46:00	James Hintz	16_122109	44000000	4400000000						30	3.611
2010-04-12T04:47:00	James Hintz	16_122109	110000000	11000000000						10	3.009
2010-04-14T09:41:00	James Hintz	16_122109	110000000	11000000000						10	3.009
2010-04-16T11:29:00	James Hintz	16_122109	110000000	11000000000						10	3.009
2010-04-18T13:36:00	James Hintz	16_122109	110000000	11000000000						10	3.009
2010-04-20T15:30:00	James Hintz	16_122109	110000000	11000000000						10	3.009
2010-04-23T04:29:00	James Hintz	16_122109	110000000	11000000000						10	3.009
2010-04-25T15:11:00	James Hintz	16_122109	110000000	11000000000						11	3.310
2010-04-27T02:38:00	James Hintz	16_122109	110000000	11000000000						5	1.505
2010-04-27T08:17:00	James Hintz	16_122109	11000000	1100000000						11	0.331
2010-04-27T13:59:00	James Hintz	16_122109	11000000	1100000000						11	0.331
2010-11-16T12:56:00	James Hintz	home2	11000000	1100000000						11	0.331
2010-12-27T19:03:00	Matteo2D		11000000	1100000000						1	0.030
2011-03-16T17:19:00	Thomas N	Manual testing	11000000	1100000000						100	3.009
2011-08-28T05:47:00	Kamil_Górski	thefault	11000000	1100000000						1	0.030
2011-09-07T21:09:00	Carsten Kossendey	leela	11000000	1100000000						100	3.009
2012-08-23T14:38:00	BloodIce	Mjolnir4	113000000	1100000000						5	1.092
2012-09-04T11:47:00	Le Comte	S761	44000000	4400000000						1	0.120
2012-09-04T12:33:00	Le Comte	S761	11000000	1100000000						1	0.030
2012-10-17T17:42:00	Maxim.BY	Manual testing	11000000	1100000000						150	4.514
2012-11-12T14:48:00	Le Comte	S761	11000000	1100000000						1	0.030
2012-12-17T09:51:00	Sergiosi	Manual testing	11000000	1100000000						200	6.018
2012-12-19T08:30:00	Le Comte	S761	11000000	1100000000						10	0.301
2012-12-19T09:07:00	Le Comte	S761	11000000	1100000000						1	0.030
2012-12-19T10:05:00	Le Comte	S761	11000000	1100000000						3	0.090
2012-12-19T13:22:00	Le Comte	S761	11000000	1100000000						1	0.030
2012-12-20T02:21:00	Le Comte	S761	11000000	1100000000						100	3.009
2012-12-20T02:31:00	Le Comte	S761	11000000	1100000000						1	0.030
2012-12-20T10:52:00	Le Comte	S761	11000000	1100000000						120	3.611
2012-12-20T11:29:00	Le Comte	S761	11000000	1100000000						50	1.505
2013-01-02T21:26:00	Sergiosi	Manual testing	11000000	1100000000						500	15.05
2013-01-09T08:00:00	Sergiosi	Manual testing	11000000	1100000000						500	15.05
2013-01-14T11:35:00	Le Comte	S761	11000000	1100000000						1	0.030
2013-01-30T19:29:00	Le Comte	S761	11000000	1100000000						1	0.030
2013-03-02T17:15:00	Le Comte	Cougar	11000000	1100000000						1	0.030
2013-03-07T07:34:00	Le Comte	iMac	11000000	1100000000						1	0.030
2013-03-18T11:35:00	Le Comte	iMac	11000000	1100000000						1000	30.09
2013-04-12T01:42:00	Le Comte	iMac	11000000	1100000000						2000	60.18
2013-04-21T04:53:00	Le Comte	iMac	11000000	1100000000						417	12.55
2015-12-06T03:57:57	mikr	MSI	44000000	4400000000						575	69.21
2015-12-07T16:12:08	ATH	xps	44000000	4400000000						1	0.120
2016-11-27T11:59:32	volki	Manual testing	44000000	4400000000						150	18.06
2016-12-11T01:48:51	volki	Manual testing	44000000	4400000000						150	18.06
2017-01-08T14:14:32	Sid & Andy	Hand_In_The_Box	44000000	4400000000						100	12.04
2017-01-31T21:33:21	Gordon Spence	Manual testing	44000000	240000000000						50	110.8
2017-04-15T22:04:57	Sid & Andy	Etch	44000000	4400000000	28836387219176889205055127927015005494573676565527 9	167.624	19	2		19	2.287
2017-04-18T10:14:43	James Hintz	11_04_2016	44000000	4400000000						10	1.204

date	userid	compid	res64	spent (GHz-days)
2015-04-11T05:57:00	MadPoo	Manual testing	CA0430863E019014	1.44576e-6

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 = 10000000000, B2 = 100000000000 (P-1 stage 2)

B1 = 10000000000 (P-1 stage 1)

B1 = 2000000000, B2 = 50000000000 (P-1 stage 2)

B1 = 2000000000 (P-1 stage 1)

B1 = 300000000 (P-1 stage 1)

B1 = 43000000, B2 = 4290000000 (P-1 stage 2)

B1 = 200000000 (P-1 stage 1)

B1 = 110000000 (P-1 stage 1)

B1 = 16777216, B2 = 1677721600 (P-1 stage 2)

B1 = 8388608, B2 = 838860800 (P-1 stage 2)

B1 = 43000000 (P-1 stage 1)

B1 = 4194304, B2 = 419430400 (P-1 stage 2)

B1 = 16777216 (P-1 stage 1)

B1 = 2097152, B2 = 209715200 (P-1 stage 2)

B1 = 8388608 (P-1 stage 1)

B1 = 1048576, B2 = 104857600 (P-1 stage 2)

B1 = 1000000, B2 = 100000000 (P-1 stage 2)

B1 = 4194304 (P-1 stage 1)

B1 = 524288, B2 = 52428800 (P-1 stage 2)

B1 = 2097152 (P-1 stage 1)

B1 = 262144, B2 = 26214400 (P-1 stage 2)

B1 = 1048576 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

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

B1 = 100000, B2 = 10000000 (P-1 stage 2)

B1 = 524288 (P-1 stage 1)

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

B1 = 262144 (P-1 stage 1)

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

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)

10³

10⁴

10⁵

10⁶

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10⁸

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10³

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10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

10¹⁸

10¹⁹

10²⁰

10²¹

10²²

10²³

10²⁴

10²⁵

10²⁶

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10²⁸

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10³¹

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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