M208589 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	142.4520	73.1343%	30000000	10070832992220	3,668.7703	23.1791%	3,811.2223	79.3615%	6.2272%
PrimeNet	2⁴⁰	0.0000	55.0000%	2200	55000	0.0000	12.9629%	0.0000	60.8333%	5.8333%
GPU72	2⁴⁴	0.0000	59.0909%	3600	80000	0.0001	8.9274%	0.0001	62.7430%	3.6521%
Difference	+23	+142.4520	+14.0434%	+29996400	+10070832912220	+3,668.7703	+14.2517%	+3,811.2222	+16.6185%	+16.6185%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
208589	73376223170511736067996969	26	85.924	175887086976091107556 2² × 43971771744022776889	2007-08-14	4	43971771744022776889	37,695,526	1.602e+10	2.992e+10

	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	-	-	2.638%
2002-06-02T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.001	-	-	1.503%
2002-07-27T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.003	-	-	2.169%
2003-02-16T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.006	-	-	2.963%
2003-10-14T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.011	-	-	3.874%
2021-05-11T07:30:49	Oliver Kruse	Ollaptop	30000000	3000000000		-		-	-	1.282	-	-	12.398%
2022-02-14T15:10:33	Oliver Kruse	Threadripper-PC	30000000	10070832992220		-		-	-	3,669	-	-	23.179%

	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		-	-	0.012	-	-
2022-03-07T05:09:10	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.012	-	-
2001-02-04T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.046	-	-
2001-02-11T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.046	-	-
2002-03-16T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.092	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.579 GHz-days
Estimated T-Level:	28.125

Digits	B1	Curves	Complete	FacMiss
20	11000	677 / 100	6.770	0.111%
25	50000	677 / 280	2.418	8.873%
30	250000	400 / 640	0.625	53.500%

New Calculation Method

Total ECM effort:	12.579 GHz-days
Estimated T-Level:	28.125

Digits	B1	Complete	FacMiss
20	11000	47.817	0.000%
25	50000	6.757	0.116%
30	250000	0.703	49.495%
35	1000000	0.058	94.403%
40	3000000	0.004	99.615%

ECM Summary

B1	B2	factor	curves	GHz-days
		73376223170511736067996969	1	0.00000e+0
50000	5000000		277	1.354
250000	25000000		345	8.429
250000	31250000		15	0.397
250000	33750000		7	0.191
250000	38500000		21	0.605
250000	551335785		7	1.360
500000	50000000		5	0.244

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-14T08:40:00	Team_Bundu	bundu1			73376223170511736067996969	85.924		1		1	-
2011-02-16T20:38:00	James Hintz	NEW_OMFG	50000	5000000						6	0.029
2014-08-15T10:39:00	TJAOI	Manual testing	50000	5000000						40	0.195
2014-12-19T13:17:00	TJAOI	Manual testing	50000	5000000						50	0.244
2015-07-24T08:17:00	TJAOI	Manual testing	50000	5000000						90	0.440
2016-03-11T13:47:10	TJAOI	Manual testing	50000	5000000						91	0.445
2018-11-02T14:06:35	Ducho_YYZ	Pantalaimon	250000	25000000						3	0.073
2018-11-03T03:42:45	Ducho_YYZ	Pantalaimon	250000	25000000						3	0.073
2018-11-03T17:27:45	Ducho_YYZ	Pantalaimon	250000	25000000						3	0.073
2018-11-04T08:07:35	Ducho_YYZ	Pantalaimon	250000	25000000						3	0.073
2018-11-05T01:52:12	Ducho_YYZ	Pantalaimon	250000	25000000						3	0.073
2018-11-08T17:01:18	storm5510	7700_Kaby_Lake	250000	25000000						3	0.073
2019-01-18T23:47:37	happy5214	Happy5214-2	250000	25000000						3	0.073
2019-02-01T12:14:16	TJAOI	Manual testing	250000	25000000						44	1.075
2019-11-22T22:32:00	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-23T09:29:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-23T20:27:51	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-24T10:10:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-24T23:26:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-25T12:49:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-26T03:24:27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-26T18:29:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-27T11:12:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-28T04:29:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-28T23:23:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-29T19:28:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-30T18:17:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-01T22:28:41	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2019-12-02T18:22:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-03T21:12:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-05T04:58:35	Ducho_YYZ	oracle	250000	25000000						3	0.073
2019-12-06T02:44:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-07T11:18:52	Ducho_YYZ	oracleAU	250000	25000000						3	0.073
2019-12-08T06:20:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-09T11:16:45	Ducho_YYZ	oracleSW	250000	25000000						3	0.073
2019-12-10T06:55:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-11T16:10:35	astraeus	x7	250000	25000000						3	0.073
2019-12-12T07:46:59	kracker	O0	250000	25000000						3	0.073
2019-12-13T07:26:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-14T13:42:32	Ducho_YYZ	oracle	250000	25000000						3	0.073
2019-12-15T15:28:35	Ducho_YYZ	oracleDE2	250000	25000000						3	0.073
2019-12-16T12:43:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-17T15:50:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-18T20:43:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-20T02:17:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-21T08:58:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-22T21:57:00	Ducho_YYZ	oracleDE	250000	25000000						3	0.073
2019-12-24T02:14:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-25T17:26:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-27T17:19:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-29T14:45:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-31T13:16:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-02T13:43:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-04T16:55:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-06T20:05:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-09T01:36:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-11T05:04:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-13T12:54:45	kracker	O0	250000	25000000						3	0.073
2020-01-15T15:06:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-17T20:18:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-20T05:55:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-22T13:13:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-24T19:56:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-27T09:27:31	kracker	O0	250000	25000000						3	0.073
2020-01-29T23:39:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-01T18:58:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-04T21:25:11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-08T02:47:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-11T12:27:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-15T04:08:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-18T10:16:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-21T21:12:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-25T16:55:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-28T23:21:47	kracker	O0	250000	25000000						3	0.073
2020-03-04T11:22:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-09T16:17:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-15T15:47:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-20T23:28:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-04-10T05:28:34	Oliver Kruse	Melissa	250000	25000000						3	0.073
2020-04-27T14:17:23	Greg	azure2	250000	25000000						3	0.073
2020-05-02T05:38:01	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-05-07T09:06:14	Greg Hogan	azure3	250000	25000000						3	0.073
2020-05-24T11:14:22	nordi	sweet16	250000	25000000						3	0.073
2020-06-09T18:19:12	kracker	O0	250000	25000000						3	0.073
2020-06-22T17:29:27	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-07-01T12:52:27	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-07-17T09:13:17	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-07-25T16:28:13	Ahmed Azhad	c5.4xlarge.azf	250000	25000000						3	0.073
2020-08-15T11:00:15	ViliamF	3	500000	50000000						5	0.244
2020-10-30T15:14:42	nordi	sweet16	250000	25000000						7	0.171
2020-11-19T21:51:20	nordi	sweet16	250000	25000000						7	0.171
2021-01-13T02:40:38	MarkS	desktop-i7	250000	25000000						37	0.904
2021-08-11T02:11:53	Ahmed Azhad	c5.4xlarge.azf2	250000	38500000						7	0.202
2021-09-22T00:51:32	Ahmed Azhad	c5.4xlarge.azf	250000	38500000						7	0.202
2021-11-03T21:29:22	Luminescence	Main	250000	33750000						7	0.191
2022-01-17T11:03:12	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2022-03-14T20:06:20	Dylan Delgado	colab	250000	38500000						7	0.202
2022-05-15T07:01:17	MarkS	desktop-i7	250000	31250000						15	0.397
2022-07-03T20:24:51	Luminescence	TyrantECM309b1	250000	551335785						7	1.360

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