M209533 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	141.8102	73.1343%	30000000	10070832992220	3,668.7703	23.1848%	3,810.5805	79.3631%	6.2288%
PrimeNet	2⁴⁰	0.0000	55.0000%	2200	55000	0.0000	12.9717%	0.0000	60.8373%	5.8373%
GPU72	2⁴⁴	0.0000	59.0909%	4000	90000	0.0001	9.3156%	0.0001	62.9019%	3.8109%
Difference	+23	+141.8102	+14.0434%	+29996000	+10070832902220	+3,668.7703	+13.8692%	+3,810.5805	+16.4612%	+16.4612%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
209533	46293570374302746487	20	65.327	110468447390871 3² × 139 × 88304114621	2008-01-11	139	88304114621	58.834	32.167	60.079

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-04-29T00:00:00	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.004	-	-	2.640%
2002-06-02T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.001	-	-	1.504%
2002-07-27T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.003	-	-	2.170%
2003-02-16T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.006	-	-	2.965%
2003-10-14T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.011	-	-	3.876%
2021-05-14T01:23:53	Oliver Kruse	Ollaptop	30000000	3000000000		-		-	-	1.282	-	-	12.402%
2022-02-16T06:20:01	Oliver Kruse	Threadripper-PC	30000000	10070832992220		-	skipped known factor: 46293570374302746487	-	-	3,669	-	-	23.185%

	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	-	-
2000-04-12T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.011	-	-
2022-03-07T05:09:13	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.011	-	-
2001-02-04T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.046	-	-
2001-02-11T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.046	-	-
2002-03-24T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.092	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.447 GHz-days
Estimated T-Level:	28.172

Digits	B1	Curves	Complete	FacMiss
20	11000	682 / 100	6.820	0.105%
25	50000	682 / 280	2.436	8.715%
30	250000	406 / 640	0.634	53.000%

New Calculation Method

Total ECM effort:	11.447 GHz-days
Estimated T-Level:	28.172

Digits	B1	Complete	FacMiss
20	11000	47.906	0.000%
25	50000	6.753	0.117%
30	250000	0.700	49.650%
35	1000000	0.057	94.459%
40	3000000	0.004	99.622%

ECM Summary

B1	B2	factor	curves	GHz-days
		46293570374302746487	1	0.00000e+0
50000	5000000		276	1.349
250000	25000000		357	8.723
250000	28250000		7	0.178
250000	36000000		14	0.392
250000	38000000		7	0.200
250000	38428211		7	0.201
250000	38500000		14	0.403

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-14T10:03:00	Team_Bundu	bundu1	50000	5000000						1	0.005
2007-08-21T19:16:00	Chad Davis	Bayes	50000	5000000						1	0.005
2007-08-31T11:06:00	Team_Bundu	bundu1	50000	5000000						1	0.005
2007-09-11T14:09:00	Chad Davis	Bayes	50000	5000000						1	0.005
2007-10-05T05:37:00	Chad Davis	Bayes	50000	5000000						1	0.005
2007-11-17T09:36:00	ANONYMOUS	minister	50000	5000000						1	0.005
2008-01-06T10:27:00	Steve Scott	Abit	50000	5000000						1	0.005
2008-01-06T11:57:00	Steve Scott	Abit	50000	5000000						1	0.005
2008-01-11T03:51:00	Team_Bundu	bundu3			46293570374302746487	65.327		1		1	-
2008-01-11T03:54:00	Team_Bundu	bundu3	50000	5000000						1	0.005
2008-01-11T03:56:00	Team_Bundu	bundu3	50000	5000000						1	0.005
2014-08-15T10:40:00	TJAOI	Manual testing	50000	5000000						35	0.171
2014-12-19T13:17:00	TJAOI	Manual testing	50000	5000000						50	0.244
2015-07-31T09:46:00	TJAOI	Manual testing	50000	5000000						90	0.440
2016-03-24T20:20:34	TJAOI	Manual testing	50000	5000000						91	0.445
2018-10-24T20:11:07	storm5510	7700_Kaby_Lake	250000	25000000						3	0.073
2018-11-02T19:57:33	Ducho_YYZ	Pantalaimon	250000	25000000						3	0.073
2018-11-03T09:25:25	Ducho_YYZ	Pantalaimon	250000	25000000						3	0.073
2018-11-03T23:57:46	Ducho_YYZ	Pantalaimon	250000	25000000						3	0.073
2018-11-04T14:39:47	Ducho_YYZ	Pantalaimon	250000	25000000						3	0.073
2018-11-05T04:54:12	Ducho_YYZ	Pantalaimon	250000	25000000						3	0.073
2019-01-23T22:34:25	happy5214	Happy5214-2	250000	25000000						3	0.073
2019-02-05T00:56:17	happy5214	Happy5214-2	250000	25000000						3	0.073
2019-02-15T12:23:11	TJAOI	Manual testing	250000	25000000						44	1.075
2019-11-23T21:56:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-24T10:40:11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-24T22:46:13	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-25T13:15:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-26T03:52:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-26T18:52:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-28T05:09:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-28T07:02:43	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2019-11-29T00:02:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-29T20:14:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-30T19:03:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-01T18:57:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-02T19:15:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-03T22:03:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-05T00:49:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-06T03:40:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-07T06:14:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-08T12:12:03	Ducho_YYZ	oracle	250000	25000000						3	0.073
2019-12-09T06:56:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-10T13:00:39	Ducho_YYZ	oracleJP	250000	25000000						3	0.073
2019-12-11T11:54:14	Ducho_YYZ	oracleDE	250000	25000000						3	0.073
2019-12-12T07:16:00	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-13T13:16:54	Ducho_YYZ	oracleKO2	250000	25000000						3	0.073
2019-12-14T09:27:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-15T11:28:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-16T13:29:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-17T16:46:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-18T21:44:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-20T03:18:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-21T09:58:03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-22T23:31:11	Ducho_YYZ	oracleDE2	250000	25000000						3	0.073
2019-12-24T03:12:20	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-25T18:55:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-27T18:41:13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-29T16:19:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-31T14:47:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-02T15:13:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-04T18:25:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-06T21:39:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-09T03:08:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-11T06:37:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-13T12:38:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-15T16:39:11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-17T22:12:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-20T07:38:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-22T15:03:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-24T21:46:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-27T10:02:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-30T01:37:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-01T21:06:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-04T23:45:16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-08T06:09:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-11T14:52:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-15T07:33:27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-18T11:53:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-22T18:07:22	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						3	0.073
2020-02-25T23:52:05	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-02-29T00:19:03	kracker	O0	250000	25000000						3	0.073
2020-03-04T15:28:03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-10T00:34:25	Naegi Makoto	1700	250000	25000000						3	0.073
2020-03-15T18:48:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-21T05:48:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-04-10T08:01:50	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-27T18:19:22	Greg	azure	250000	25000000						3	0.073
2020-05-02T10:24:28	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-05-07T14:16:02	Greg Hogan	azure3	250000	25000000						3	0.073
2020-05-25T02:21:34	Oliver Kruse	IOS-3	250000	25000000						3	0.073
2020-06-10T13:25:36	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-06-23T00:54:58	nordi	sweet16	250000	25000000						3	0.073
2020-07-02T06:36:39	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2020-07-17T14:30:35	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.073
2020-07-25T23:31:29	Ahmed Azhad	c5.4xlarge.azf	250000	25000000						3	0.073
2020-08-15T12:50:47	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.073
2020-09-29T01:33:13	nordi	sweet16	250000	25000000						7	0.171
2020-10-30T10:45:52	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2020-11-20T06:06:18	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.171
2021-01-12T16:15:18	Lisander Viaene		250000	25000000						7	0.171
2021-02-05T19:33:01	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2021-03-21T08:10:22	Ducho_YYZ	Lyra	250000	38428211						7	0.201
2021-05-15T09:46:09	Chang Chia-Tche	exbpc13	250000	25000000						7	0.171
2021-07-07T14:13:05	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.171
2021-08-08T22:04:35	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2021-09-14T01:43:37	Team_Inspector	SpudBoy4	250000	38500000						7	0.202
2021-10-24T06:39:09	Eric	miniPCWindows	250000	38000000						7	0.200
2021-12-30T10:04:42	MarkS	laptop64	250000	25000000						7	0.171
2022-03-03T16:42:42	storm5510	3570_Ivy_Bridge	250000	28250000						7	0.178
2022-05-02T01:43:43	Dylan Delgado	colab	250000	38500000						7	0.202
2022-06-03T05:54:46	debrouxl	z400	250000	36000000						7	0.196
2022-06-30T11:51:27	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.171
2022-07-22T13:11:23	debrouxl	dl380g9-1	250000	36000000						7	0.196

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