M193493 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	153.5659	73.1343%	100000000	2000000000	1.3607	12.3013%	154.9266	76.4392%	3.3048%
PrimeNet	2⁴⁰	0.0000	55.0000%	2000	50000	0.0000	12.4237%	0.0000	60.5907%	5.5907%
GPU72	2⁴⁴	0.0000	59.0909%	3600	80000	0.0001	8.8168%	0.0001	62.6978%	3.6069%
Difference	+23	+153.5658	+14.0434%	+99996400	+1999920000	+1.3607	+3.4845%	+154.9265	+13.7414%	+13.7414%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
193493	93093561077744478724539103	26	86.267	240560539858662790707 3² × 557 × 4799 × 54277 × 184229893	2009-02-02	54277	184229893	148,784,173	0.0675	0.1253

	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	-	-	2.609%
2002-06-02T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.001	-	-	1.482%
2002-07-27T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.003	-	-	2.142%
2003-02-16T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.006	-	-	2.931%
2003-10-08T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.011	-	-	3.836%
2006-02-01T00:00:00	Jocelyn Larouche	v4_computers	1000000	1000000		-		-	-	0.007	-	-	1.919%
2017-08-23T17:03:29	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 93093561077744478724539103	-	-	1.361	-	-	12.301%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-11-17T00:00:00	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.003	-	-
2000-04-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.012	-	-
2022-03-07T04:47:14	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.012	-	-
2001-01-28T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.050	-	-
2002-04-28T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.099	-	-
2022-03-07T04:47:14	LordJulius	Manual testing	2⁵⁷	2⁵⁸		-	-	0.099	-	-
2008-12-30T23:43:00	Sturle Sunde	nardi.ifi	2⁵⁸	2⁵⁹		-	-	0.198	-	-
2009-01-25T17:54:00	Sturle Sunde	dietrich.ifi	2⁵⁹	2⁶⁰		-	-	0.397	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.903 GHz-days
Estimated T-Level:	28.703

Digits	B1	Curves	Complete	FacMiss
20	11000	750 / 100	7.500	0.053%
25	50000	750 / 280	2.679	6.833%
30	250000	474 / 640	0.741	47.654%

New Calculation Method

Total ECM effort:	12.903 GHz-days
Estimated T-Level:	28.703

Digits	B1	Complete	FacMiss
20	11000	53.706	0.000%
25	50000	7.658	0.047%
30	250000	0.799	44.972%
35	1000000	0.065	93.675%
40	3000000	0.004	99.565%

ECM Summary

B1	B2	factor	curves	GHz-days
		93093561077744478724539103	1	0.00000e+0
50000	5000000		276	1.346
250000	25000000		474	11.56

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-16T11:47:00	Team_Bundu	bundu1	50000	5000000						1	0.005
2007-08-24T15:31:00	Chad Davis	Bayes	50000	5000000						1	0.005
2007-09-01T14:52:00	Chad Davis	Bayes	50000	5000000						1	0.005
2007-09-21T21:32:00	Chad Davis	Bayes	50000	5000000						1	0.005
2007-09-27T22:24:00	James Heinrich	WHS	50000	5000000						1	0.005
2007-11-11T00:06:00	Andi47	Core2Duo	50000	5000000						1	0.005
2008-01-03T18:21:00	Steve Scott		50000	5000000						1	0.005
2008-01-03T20:11:00	Steve Scott		50000	5000000						1	0.005
2008-01-03T20:42:00	Steve Scott		50000	5000000						1	0.005
2008-01-03T21:36:00	Steve Scott	805D	50000	5000000						1	0.005
2008-01-04T01:13:00	James Heinrich	WHS	50000	5000000						1	0.005
2008-02-18T07:24:00	Scott Kurowski	UW4	50000	5000000						3	0.015
2008-06-15T11:37:00	Sturle Sunde	v17	50000	5000000						3	0.015
2008-09-11T01:45:00	Sturle Sunde	v21	50000	5000000						3	0.015
2008-09-22T18:51:00	Sturle Sunde	v22	50000	5000000						3	0.015
2008-10-16T00:06:00	Sturle Sunde	v23	50000	5000000						3	0.015
2008-11-09T04:43:00	Sturle Sunde	v22	50000	5000000						3	0.015
2008-11-28T05:34:00	Sturle Sunde	v21	50000	5000000						3	0.015
2008-12-12T21:06:00	Sturle Sunde	v23	50000	5000000						3	0.015
2009-01-13T16:13:00	Sturle Sunde	v21	50000	5000000						3	0.015
2009-02-02T03:55:00	axn	Manual testing			93093561077744478724539103	86.267		1		1	-
2014-07-06T10:38:00	TJAOI	Manual testing	50000	5000000						7	0.034
2014-12-12T13:35:00	TJAOI	Manual testing	50000	5000000						50	0.244
2015-05-22T10:22:00	TJAOI	Manual testing	50000	5000000						90	0.439
2016-03-24T20:20:12	TJAOI	Manual testing	50000	5000000						91	0.444
2017-06-23T12:29:28	TJAOI	Manual testing	250000	25000000						44	1.073
2019-03-29T12:14:16	TJAOI	Manual testing	250000	25000000						100	2.438
2019-11-28T09:50:06	kracker	O0	250000	25000000						3	0.073
2019-11-29T03:12:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-29T23:39:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-30T22:30:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-01T22:41:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-02T23:54:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-04T04:15:00	kracker	O0	250000	25000000						3	0.073
2019-12-05T05:02:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-06T08:08:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-07T16:24:21	Ducho_YYZ	oracleAU	250000	25000000						3	0.073
2019-12-08T11:01:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-09T10:42:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-10T15:41:46	Ducho_YYZ	oracleSW	250000	25000000						3	0.073
2019-12-11T10:39:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-12T11:04:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-14T11:34:45	Ducho_YYZ	Dutch	250000	25000000						3	0.073
2019-12-14T13:43:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-15T20:50:18	Ducho_YYZ	oracleDE2	250000	25000000						3	0.073
2019-12-16T17:51:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-18T02:57:10	Ducho_YYZ	oracleAU	250000	25000000						3	0.073
2019-12-19T02:38:00	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-20T13:15:12	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2019-12-21T15:11:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-22T23:51:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-24T13:26:59	Ducho_YYZ	oracleSW	250000	25000000						3	0.073
2019-12-26T03:04:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-28T02:04:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-29T23:50:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-31T22:40:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-03T01:45:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-05T02:23:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-07T06:03:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-09T11:36:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-11T15:33:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-13T21:03:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-16T01:21:27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-18T07:19:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-20T16:23:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-23T00:03:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-25T12:26:55	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2020-01-27T19:52:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-30T12:56:16	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-02-02T10:08:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-05T12:06:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-08T18:57:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-12T04:25:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-15T23:16:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-19T02:37:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-22T15:04:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-26T07:19:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-29T14:34:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-05T11:34:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-10T21:46:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-18T02:31:39	TBB_IL	Small	250000	25000000						3	0.073
2020-03-22T04:55:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-04-11T15:24:43	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-28T17:07:04	Greg	azure	250000	25000000						3	0.073
2020-05-02T20:51:07	Greg Hogan	azure4	250000	25000000						3	0.073
2020-05-08T15:19:43	Greg Hogan	azure3	250000	25000000						3	0.073
2020-05-27T08:53:38	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2020-06-13T02:31:41	nordi	sweet16	250000	25000000						150	3.657

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