M193433 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	153.6135	73.1343%	100000000	2000000000	1.3607	12.3010%	154.9742	76.4391%	3.3048%
PrimeNet	2⁴⁰	0.0000	55.0000%	2000	50000	0.0000	12.4231%	0.0000	60.5904%	5.5904%
GPU72	2⁴⁴	0.0000	59.0909%	3600	80000	0.0001	8.8163%	0.0001	62.6976%	3.6067%
Difference	+23	+153.6135	+14.0434%	+99996400	+1999920000	+1.3607	+3.4847%	+154.9742	+13.7415%	+13.7415%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
193433	6189857	7	22.561	16 2⁴	-	16	16	2.899e-12	1.070e-7	2.177e-7
193433	382223609	9	28.510	988 2² × 13 × 19	2008-07-27	13	19	2.244e-10	8.911e-8	1.769e-7
193433	261591366057608321433371759	27	87.757	676180812109640861263 676180812109640861263	2020-11-03	1	676180812109640861263	167,751,959	2.463e+11	4.601e+11

exponent	prime factors	composite factor	digits	bits*
193433	6189857 382223609	2365909481733913	16	51.071
193433	6189857 261591366057608321433371759	1619213148331249271682606216048463	34	110.319
193433	382223609 261591366057608321433371759	99986396017779154526695406763658231	35	116.267
193433	6189857 382223609 261591366057608321433371759	618901493295422424101147250423877246762967	42	138.829

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2017-08-23T17:03:29	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 6189857 skipped known factor: 382223609	-	-	1.361	-	-	12.301%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-07-27T10:50:00	J Feitsma	Manual testing	?	?	382223609	28.510	9	3.95356e-11	0.002	8.20017e-11

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.275 GHz-days
Estimated T-Level:	28.438

Digits	B1	Curves	Complete	FacMiss
20	11000	721 / 100	7.210	0.071%
25	50000	721 / 280	2.575	7.580%
30	250000	440 / 640	0.688	50.256%

New Calculation Method

Total ECM effort:	12.275 GHz-days
Estimated T-Level:	28.438

Digits	B1	Complete	FacMiss
20	11000	45.731	0.000%
25	50000	6.162	0.211%
30	250000	0.628	53.392%
35	1000000	0.050	95.090%
40	3000000	0.003	99.670%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	1.370
250000	25000000		395	9.63
250000	25000000	261591366057608321433371759	3	0.073
250000	35747724		7	0.195
250000	38392042		7	0.201
250000	38500000		28	0.804

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-07-06T10:38:00	TJAOI	Manual testing	50000	5000000						50	0.244
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
2019-11-28T06:52:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-29T01:50:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-29T22:12:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-30T20:56:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-01T21:03:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-02T21:56:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-04T00:34:11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-05T03:15:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-06T06:13:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-07T15:06:53	Ducho_YYZ	oracleSP2	250000	25000000						3	0.073
2019-12-08T09:23:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-09T14:23:34	Ducho_YYZ	oracleSW	250000	25000000						3	0.073
2019-12-10T08:48:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-11T13:29:04	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.073
2019-12-12T14:27:44	Ducho_YYZ	oracleKO2	250000	25000000						3	0.073
2019-12-13T13:56:34	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2019-12-14T16:37:31	Ducho_YYZ	oracleKO	250000	25000000						3	0.073
2019-12-15T13:45:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-16T20:53:02	Ducho_YYZ	oracleKO2	250000	25000000						3	0.073
2019-12-17T19:21:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-19T05:52:06	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2019-12-20T05:54:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-21T12:50:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-23T02:38:19	Ducho_YYZ	oracleKO	250000	25000000						3	0.073
2019-12-24T06:16:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-25T23:23:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-27T22:47:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-29T21:46:32	kracker	O0	250000	25000000						3	0.073
2019-12-31T19:11:20	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-02T19:37:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-04T22:53:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-07T02:21:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-09T08:19:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-11T11:39:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-13T17:18:13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-15T21:36:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-18T03:24:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-20T12:35:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-22T20:02:16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-25T03:30:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-27T15:23:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-30T08:42:15	kracker	O0	250000	25000000						3	0.073
2020-02-02T06:04:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-05T06:37:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-08T13:16:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-11T22:58:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-15T16:40:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-19T00:21:47	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-02-22T08:43:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-26T02:50:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-29T08:32:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-05T02:57:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-10T11:39:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-16T08:11:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-21T18:38:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-04-11T01:00:10	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-28T06:56:00	Greg	azure3	250000	25000000						3	0.073
2020-05-02T13:21:16	Greg Hogan	azure3	250000	25000000						3	0.073
2020-05-08T04:39:42	Greg Hogan	azure2	250000	25000000						3	0.073
2020-05-28T11:20:57	nordi	sweet16	250000	25000000						3	0.073
2020-06-12T05:56:46	nordi	sweet16	250000	25000000						3	0.073
2020-06-23T22:07:43	nordi	sweet16	250000	25000000						3	0.073
2020-07-02T21:43:15	kracker	O0	250000	25000000						3	0.073
2020-07-18T14:49:42	nordi	sweet16	250000	25000000						3	0.073
2020-07-26T19:12:02	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2020-08-17T22:14:10	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						7	0.171
2020-10-18T20:43:04	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2020-11-03T00:41:01	nordi	sweet16	250000	25000000	261591366057608321433371759	87.757	3	2	7720392084898183	3	0.073
2020-11-21T22:55:57	nordi	sweet16	250000	25000000						7	0.171
2021-01-14T19:19:57	ZacHFX	Ryzen	250000	25000000						7	0.171
2021-02-08T16:43:30	seatsea	dt	250000	38500000						7	0.201
2021-04-04T12:00:57	Chang Chia-Tche	exbpc13	250000	25000000						7	0.171
2021-05-17T08:57:18	Chang Chia-Tche	exbpc13	250000	25000000						7	0.171
2021-07-09T21:34:23	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2021-07-14T09:05:33	seatsea	Manual testing	250000	38500000						7	0.201
2021-09-20T17:42:42	Ahmed Azhad	c5.4xlarge.azf	250000	38392042						7	0.201
2021-10-31T17:13:50	Dylan Delgado	colab	250000	38500000						7	0.201
2022-01-12T00:00:00	Dylan Delgado	colab	250000	38500000						7	0.201
2022-03-18T05:54:18	Corey	tab	250000	25000000						7	0.171
2022-05-14T07:37:05	debrouxl	o9020	250000	35747724						7	0.195

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