M190759 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	155.7668	73.1343%	100000000	2000000000	1.3607	12.2887%	157.1275	76.4358%	3.3014%
PrimeNet	2⁴⁰	0.0000	55.0000%	2000	45000	0.0000	12.1395%	0.0000	60.4628%	5.4628%
GPU72	2⁴⁴	0.0000	59.0909%	3400	70000	0.0000	8.4593%	0.0001	62.5515%	3.4606%
Difference	+23	+155.7668	+14.0434%	+99996600	+1999930000	+1.3607	+3.8294%	+157.1275	+13.8842%	+13.8842%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
190759	1894633046944463365857217	25	80.648	4966038422681140512 2⁵ × 3² × 53 × 3063121 × 106212973	2009-01-30	3063121	106212973	1,737,087	0.0581	0.0723

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-05-06T00:00:00	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.004	-	-	2.603%
2002-06-02T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.001	-	-	1.478%
2002-07-27T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.003	-	-	2.137%
2003-02-16T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.006	-	-	2.925%
2003-10-08T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.011	-	-	3.828%
2006-02-01T00:00:00	Jocelyn Larouche	v4_computers	1000000	1000000		-		-	-	0.007	-	-	1.915%
2017-01-10T11:43:45	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 1894633046944463365857217	-	-	1.361	-	-	12.289%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-11-10T00:00:00	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.003	-	-
2000-04-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.013	-	-
2022-03-07T04:47:10	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.013	-	-
2001-01-28T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.050	-	-
2002-05-05T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.101	-	-
2022-03-07T04:47:10	LordJulius	Manual testing	2⁵⁷	2⁵⁸		-	-	0.101	-	-
2008-12-31T01:31:00	Sturle Sunde	morovan.ifi	2⁵⁸	2⁵⁹		-	-	0.201	-	-
2009-01-27T16:23:00	Sturle Sunde	gideon.ifi	2⁵⁹	2⁶⁰		-	-	0.403	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.992 GHz-days
Estimated T-Level:	28.664

Digits	B1	Curves	Complete	FacMiss
20	11000	745 / 100	7.450	0.056%
25	50000	745 / 280	2.661	6.957%
30	250000	469 / 640	0.733	48.028%

New Calculation Method

Total ECM effort:	12.992 GHz-days
Estimated T-Level:	28.664

Digits	B1	Complete	FacMiss
20	11000	53.761	0.000%
25	50000	7.653	0.047%
30	250000	0.800	44.941%
35	1000000	0.065	93.664%
40	3000000	0.004	99.565%

ECM Summary

B1	B2	factor	curves	GHz-days
		1894633046944463365857217	1	0.00000e+0
50000	5000000		276	1.345
250000	25000000		413	10.07
250000	34105963		7	0.191
250000	34201251		7	0.191
250000	36000000		7	0.195
250000	37250000		7	0.198
250000	38428211		14	0.402
250000	38500000		14	0.402

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-16T04:35:00	Team_Bundu	bundu1	50000	5000000						1	0.005
2007-08-23T18:40:00	Chad Davis	Bayes	50000	5000000						1	0.005
2007-09-01T04:40:00	Team_Bundu	bundu1	50000	5000000						1	0.005
2007-09-11T08:13:00	James Heinrich	WHS	50000	5000000						1	0.005
2007-10-01T07:12:00	ANONYMOUS	minister	50000	5000000						1	0.005
2007-11-09T01:57:00	Chad Davis	Bayes	50000	5000000						1	0.005
2008-01-01T06:25:00	Steve Scott		50000	5000000						1	0.005
2008-01-01T08:16:00	Chad Davis	Bayes	50000	5000000						1	0.005
2008-01-01T08:51:00	Steve Scott	Abit	50000	5000000						1	0.005
2008-01-01T10:59:00	Sturle Sunde	minister	50000	5000000						1	0.005
2008-01-01T17:45:00	James Heinrich	WHS	50000	5000000						1	0.005
2008-02-09T18:42:00	Steve Scott	Gigabyte-2	50000	5000000						3	0.015
2008-05-28T14:26:00	Anton Repko	tethys	50000	5000000						3	0.015
2008-09-08T20:42:00	Sturle Sunde	v21	50000	5000000						3	0.015
2008-09-20T17:17:00	Sturle Sunde	v22	50000	5000000						3	0.015
2008-10-13T20:55:00	Sturle Sunde	v22	50000	5000000						3	0.015
2008-11-04T19:10:00	Sturle Sunde	v22	50000	5000000						3	0.015
2008-11-25T02:40:00	Sturle Sunde	v22	50000	5000000						3	0.015
2008-12-09T08:43:00	Ryan Schulz	lap_08	50000	5000000						3	0.015
2009-01-08T20:38:00	Sturle Sunde	v23	50000	5000000						3	0.015
2009-01-30T02:20:00	axn	Manual testing			1894633046944463365857217	80.648		1		1	-
2009-01-30T04:52:00	Sturle Sunde	v22	50000	5000000						3	0.015
2014-07-06T10:37:00	TJAOI	Manual testing	50000	5000000						4	0.019
2014-12-05T13:39:00	TJAOI	Manual testing	50000	5000000						50	0.244
2015-05-29T10:14:00	TJAOI	Manual testing	50000	5000000						90	0.439
2016-02-05T19:20:16	TJAOI	Manual testing	50000	5000000						91	0.444
2017-03-31T15:13:01	TJAOI	Manual testing	250000	25000000						44	1.072
2019-02-08T14:05:53	TJAOI	Manual testing	250000	25000000						100	2.437
2019-11-26T02:31:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-26T16:27:55	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-27T10:20:27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-28T03:31:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-29T00:14:18	kracker	O0	250000	25000000						3	0.073
2019-11-29T17:05:45	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-30T16:52:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-01T16:38:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-02T16:46:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-03T20:04:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-04T22:24:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-06T01:11:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-07T03:58:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-08T05:26:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-09T04:47:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-10T10:53:45	Ducho_YYZ	oracleAU2	250000	25000000						3	0.073
2019-12-11T10:08:18	Ducho_YYZ	oracleSW2	250000	25000000						3	0.073
2019-12-12T09:41:22	Ducho_YYZ	oracle	250000	25000000						3	0.073
2019-12-13T05:56:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-14T07:07:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-15T09:03:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-17T06:55:09	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2019-12-17T19:36:12	Ducho_YYZ	oracleAU	250000	25000000						3	0.073
2019-12-18T19:06:27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-20T05:35:23	Ducho_YYZ	oracleDE2	250000	25000000						3	0.073
2019-12-21T12:10:18	Ducho_YYZ	oracleKO2	250000	25000000						3	0.073
2019-12-22T15:36:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-24T00:22:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-25T14:50:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-27T14:36:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-29T12:03:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-31T10:26:16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-02T10:46:16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-04T19:08:22	MarkS	desktop-i7	250000	25000000						3	0.073
2020-01-06T16:40:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-08T22:19:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-11T01:46:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-13T07:46:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-15T12:46:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-17T18:25:36	kracker	O0	250000	25000000						3	0.073
2020-01-20T01:43:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-22T10:03:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-24T16:31:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-27T05:55:24	kracker	O0	250000	25000000						3	0.073
2020-01-29T19:34:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-01T15:15:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-04T16:29:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-07T21:36:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-11T07:35:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-14T23:10:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-08-18T14:36:13	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2020-08-20T05:21:49	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2020-08-22T16:00:44	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						7	0.171
2020-08-23T21:33:46	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						7	0.171
2020-08-25T20:54:52	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.171
2020-08-27T14:47:55	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						7	0.171
2020-08-30T07:08:51	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						7	0.171
2020-08-30T12:02:06	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2020-10-24T19:00:27	nordi	sweet16	250000	25000000						7	0.171
2020-11-08T06:56:46	nordi	sweet16	250000	25000000						7	0.171
2021-01-03T19:30:17	ZacHFX	o11d	250000	25000000						7	0.171
2021-01-29T13:26:28	seatsea	dt	250000	38428211						7	0.201
2021-03-05T18:43:07	Ducho_YYZ	Dutch	250000	37250000						7	0.198
2021-05-09T23:06:51	MarkS	desktop-i7	250000	25000000						7	0.171
2021-07-01T18:18:58	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.171
2021-07-14T09:04:00	seatsea	Manual testing	250000	38428211						7	0.201
2021-08-10T00:04:06	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.171
2021-09-16T10:34:00	MarkS	laptop64	250000	25000000						7	0.171
2021-10-18T18:20:00	Dylan Delgado	colab	250000	38500000						7	0.201
2021-12-27T03:21:37	JackBlock	school2	250000	25000000						7	0.171
2022-03-01T05:18:14	Corey	tab	250000	25000000						7	0.171
2022-04-23T18:29:50	Dylan Delgado	colab	250000	38500000						7	0.201
2022-05-31T01:13:55	debrouxl	o9020	250000	34201251						7	0.191
2022-06-27T01:27:48	debrouxl	dl380g9-1	250000	36000000						7	0.195
2022-07-22T11:28:42	debrouxl	dl380g9-1	250000	34105963						7	0.191

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