M699943 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	42.4519	70.1493%	10000000	200000000	0.5894	9.0643%	43.0413	72.8550%	2.7058%
PrimeNet	2⁴⁰	0.0000	50.0000%	6500	260000	0.0006	21.4734%	0.0006	60.7367%	10.7367%
GPU72	2⁴⁴	0.0000	54.5455%	12000	450000	0.0010	16.4999%	0.0010	62.0454%	7.4999%
Difference	+23	+42.4519	+15.6038%	+9988000	+199550000	+0.5883	-7.4356%	+43.0402	+10.8096%	+10.8096%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
699943	170377798852811275058687	24	77.173	121708338288125801 277 × 439380282628613	2013-12-01	277	439380282628613	87,279	693,257	1,294,810

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-01-02T00:00:00	ANONYMOUS	v4_computers	2000	200000		-		-	-	0.000	-	-	0.196%
2002-01-28T00:00:00	ANONYMOUS	v4_computers	4096	409600		-		-	-	0.001	-	-	0.420%
2002-03-16T00:00:00	ANONYMOUS	v4_computers	8192	819200		-		-	-	0.002	-	-	0.761%
2002-05-11T00:00:00	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.003	-	-	1.240%
2002-07-14T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.006	-	-	1.865%
2002-10-26T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.012	-	-	2.631%
2003-06-30T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.024	-	-	3.524%
2011-07-19T21:09:00	Jocelyn Larouche	Manual testing	316572	316572		-		-	-	0.009	-	-	1.397%
2012-02-17T11:13:00	Jocelyn Larouche	Manual testing	527620	527620		-		-	-	0.015	-	-	1.767%
2012-04-25T04:40:00	kurly	smile	10000000	200000000		-		-	-	0.589	-	-	9.064%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2000-02-23T00:00:00	ANONYMOUS	v4_computers	2⁵³	2⁵⁴		-	-	0.002	-	-
2022-03-07T09:21:31	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.003	-	-
2001-04-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.014	-	-
2001-12-22T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.027	-	-
2003-09-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.055	-	-
2008-10-15T03:31:00	Sturle Sunde	hoffman.ifi	2⁵⁸	2⁵⁹		-	-	0.055	-	-
2008-10-15T04:10:00	Sturle Sunde	hoffman.ifi	2⁵⁹	2⁶⁰		-	-	0.110	-	-
2010-06-30T04:30:00	Architects Cubed	m1_f2	2⁶⁰	2⁶¹		-	-	0.219	-	-
2013-02-17T04:30:00	HBendtz	HAL9007	2⁶¹	2⁶²		-	-	0.439	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.277 GHz-days
Estimated T-Level:	25.344

Digits	B1	Curves	Complete	FacMiss
20	11000	324 / 100	3.240	3.853%
25	50000	324 / 280	1.157	31.373%
30	250000	44 / 640	0.069	93.351%

New Calculation Method

Total ECM effort:	11.277 GHz-days
Estimated T-Level:	25.344

Digits	B1	Complete	FacMiss
20	11000	12.699	0.000%
25	50000	1.346	26.016%
30	250000	0.107	89.809%
35	1000000	0.007	99.296%

ECM Summary

B1	B2	factor	curves	GHz-days
		170377798852811275058687	1	0.00000e+0
50000	5000000		280	6.315
250000	25000000		44	4.962

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-28T16:46:00	Chad Davis	Bayes	50000	5000000						1	0.023
2007-12-22T16:08:00	kar_bon	Home_XP3	50000	5000000						1	0.023
2007-12-22T23:43:00	George Woltman	x32-debug	50000	5000000						1	0.023
2008-05-19T22:00:00	arnaud	chamot24	50000	5000000						3	0.068
2008-11-04T19:29:00	Sturle Sunde	v23	50000	5000000						3	0.068
2009-01-27T03:19:00	Sturle Sunde	v23	50000	5000000						3	0.068
2009-03-27T06:30:00	Sturle Sunde	v21	50000	5000000						3	0.068
2009-07-01T23:43:00	Architects Cubed	m1_64	50000	5000000						3	0.068
2009-07-11T10:19:00	Architects Cubed	m1_03	50000	5000000						3	0.068
2009-09-06T21:12:00	Sturle Sunde	PRECZB31311N6	50000	5000000						3	0.068
2009-10-09T21:02:00	Sturle Sunde	PRE6S33KN9ZE3B5	50000	5000000						3	0.068
2009-11-02T09:07:00	linded	KCPB8P0-NET214	50000	5000000						3	0.068
2009-11-24T19:11:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2009-12-21T02:03:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2010-01-15T22:56:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2010-02-02T16:37:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2010-02-24T18:23:00	Bud	laptop	50000	5000000						3	0.068
2010-03-20T06:40:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.068
2010-04-30T02:49:00	linded	KCPB8P0-NET214	50000	5000000						3	0.068
2010-05-09T16:47:00	James Hintz	05_122109	50000	5000000						3	0.068
2010-05-22T03:08:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2010-06-16T01:59:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2010-07-19T01:09:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2010-08-21T01:51:00	Sturle Sunde	0020ED951D03	50000	5000000						3	0.068
2010-09-10T13:31:00	sannerud.com	Jim2010	50000	5000000						3	0.068
2010-10-01T16:32:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2010-10-20T03:27:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2010-11-06T20:36:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2010-11-28T14:01:00	josibo	Ziben	50000	5000000						3	0.068
2010-12-16T18:58:00	Sara	1	50000	5000000						3	0.068
2011-01-04T22:30:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.068
2011-01-20T22:00:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.068
2011-02-08T02:30:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2011-02-25T00:14:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2011-03-11T16:40:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.068
2011-03-29T01:42:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2011-04-23T19:44:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2011-05-17T16:15:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2011-06-03T23:45:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2011-07-03T17:17:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2011-08-02T04:30:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2011-09-14T16:00:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2011-11-29T20:25:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.068
2012-02-03T19:49:00	Sturle Sunde	PRECZB3140ZD8	50000	5000000						3	0.068
2012-03-22T21:08:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.068
2012-06-21T16:12:00	Sturle Sunde	TOR-ST-0025	50000	5000000						3	0.068
2012-09-13T19:58:00	Andriy Makukha	home-i5	50000	5000000						3	0.068
2013-06-05T04:38:00	Sturle Sunde	PRE6S33KN9ZE3KY	50000	5000000						3	0.068
2013-12-01T03:06:00	Bruce	bfc-ws			170377798852811275058687	77.173		1		1	-
2016-06-03T16:14:03	TJAOI	Manual testing	50000	5000000						51	1.150
2017-05-12T15:30:21	TJAOI	Manual testing	50000	5000000						91	2.052
2019-10-28T14:10:52	TJAOI	Manual testing	250000	25000000						44	4.962

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 = 10000000, B2 = 200000000 (P-1 stage 2)

B1 = 10000000 (P-1 stage 1)

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

B1 = 527620 (P-1 stage 1)

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

B1 = 316572 (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 = 8192, B2 = 819200 (P-1 stage 2)

B1 = 32768 (P-1 stage 1)

B1 = 4096, B2 = 409600 (P-1 stage 2)

B1 = 16384 (P-1 stage 1)

B1 = 2000, B2 = 200000 (P-1 stage 2)

B1 = 8192 (P-1 stage 1)

B1 = 4096 (P-1 stage 1)

B1 = 2000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

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