M210359 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	141.2534	73.1343%	30000000	10070832992220	3,668.7703	23.1899%	3,810.0237	79.3644%	6.2301%
PrimeNet	2⁴⁰	0.0000	55.0000%	2200	55000	0.0000	12.9794%	0.0000	60.8407%	5.8407%
GPU72	2⁴⁴	0.0000	59.0909%	4000	90000	0.0001	9.3216%	0.0001	62.9043%	3.8134%
Difference	+23	+141.2534	+14.0434%	+29996000	+10070832902220	+3,668.7703	+13.8683%	+3,810.0236	+16.4602%	+16.4602%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
210359	77697751862850961297	20	66.075	184678934257272 2³ × 3 × 7 × 13 × 17 × 4974114799	2007-08-21	17	4974114799	125.75	1.8120	3.3842

	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	-	-	2.642%
2002-06-02T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.001	-	-	1.505%
2002-07-27T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.003	-	-	2.172%
2003-02-16T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.006	-	-	2.967%
2003-10-14T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.011	-	-	3.878%
2021-05-17T06:57:22	Oliver Kruse	Ollaptop	30000000	3000000000		-		-	-	1.282	-	-	12.406%
2022-02-17T17:38:55	Oliver Kruse	Threadripper-PC	30000000	10070832992220		-	skipped known factor: 77697751862850961297	-	-	3,669	-	-	23.190%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-11-27T12:36:40	fbaur	ubuntu	150000000	14100000000	2	7			-	-	6.505
2021-11-29T01:19:22	fbaur	ubuntu	150000000	14250000000	6	5			-	-	6.558

	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	-	-
2022-03-07T05:09:17	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		-	-	0.091	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.237 GHz-days
Estimated T-Level:	27.820

Digits	B1	Curves	Complete	FacMiss
20	11000	638 / 100	6.380	0.164%
25	50000	638 / 280	2.279	10.201%
30	250000	361 / 640	0.564	56.864%

New Calculation Method

Total ECM effort:	10.237 GHz-days
Estimated T-Level:	27.820

Digits	B1	Complete	FacMiss
20	11000	43.599	0.000%
25	50000	6.088	0.227%
30	250000	0.626	53.472%
35	1000000	0.051	95.058%
40	3000000	0.003	99.665%

ECM Summary

B1	B2	factor	curves	GHz-days
		77697751862850961297	1	0.00000e+0
50000	5000000		277	1.354
250000	25000000		347	8.480
250000	38500000		14	0.403

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-14T15:06:00	drew	messier	50000	5000000						1	0.005
2007-08-21T21:05:00	Chad Davis	Bayes			77697751862850961297	66.075		1		1	-
2011-02-16T22:21:00	James Hintz	NEW_OMFG	50000	5000000						5	0.024
2014-07-28T13:52:00	TJAOI	Manual testing	50000	5000000						40	0.195
2014-12-05T13:42:00	TJAOI	Manual testing	50000	5000000						50	0.244
2015-05-29T10:14:00	TJAOI	Manual testing	50000	5000000						90	0.440
2016-01-29T11:38:34	TJAOI	Manual testing	50000	5000000						91	0.445
2017-03-31T15:13:10	TJAOI	Manual testing	250000	25000000						44	1.075
2019-10-05T18:41:43	Yuji HASEGAWA	sx1w7	250000	25000000						3	0.073
2019-11-21T12:46:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-21T21:30:31	kracker	O0	250000	25000000						3	0.073
2019-11-22T03:39:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-22T12:12:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-22T21:57:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-23T08:47:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-23T20:49:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-24T09:21:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-24T22:34:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-26T01:17:33	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-26T07:52:10	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2019-11-26T17:24:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-27T10:10:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-28T03:22:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-29T00:01:41	kracker	O0	250000	25000000						3	0.073
2019-11-29T17:59:11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-30T18:01:06	kracker	O0	250000	25000000						3	0.073
2019-12-01T16:24:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-02T16:34:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-03T19:38:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-05T03:34:48	Ducho_YYZ	oracleSP2	250000	25000000						3	0.073
2019-12-06T00:53:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-07T03:39:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-08T05:26:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-09T04:34:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-10T10:03:05	Ducho_YYZ	oracleAU	250000	25000000						3	0.073
2019-12-11T04:24:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-12T04:42:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-13T07:18:56	kracker	O0	250000	25000000						3	0.073
2019-12-14T06:55:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-15T08:50:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-16T10:59:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-17T20:40:48	Ducho_YYZ	oracleSP2	250000	25000000						3	0.073
2019-12-18T23:37:19	Ducho_YYZ	oracleKO	250000	25000000						3	0.073
2019-12-20T00:12:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-21T06:48:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-22T20:38:58	Ducho_YYZ	oracleAU2	250000	25000000						3	0.073
2019-12-24T00:04:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-25T14:14:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-27T14:06:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-29T11:30:16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-31T11:08:04	kracker	O0	250000	25000000						3	0.073
2020-01-02T10:18:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-04T13:23:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-06T16:06:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-08T21:47:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-11T01:14:27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-13T07:19:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-15T11:21:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-17T16:11:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-20T01:11:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-22T09:22:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-24T15:58:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-27T05:23:21	kracker	O0	250000	25000000						3	0.073
2020-01-29T18:45:27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-01T14:08:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-05T11:19:21	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.073
2020-02-07T20:35:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-11T06:56:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-14T23:28:25	kracker	O0	250000	25000000						3	0.073
2020-04-22T06:35:05	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-04-23T07:34:40	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-04-24T04:17:25	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-24T17:11:46	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-25T05:11:18	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-25T17:30:35	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-26T05:42:46	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-26T17:41:39	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-27T03:06:15	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-27T16:56:01	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.073
2020-05-01T18:10:48	Greg	azure4	250000	25000000						3	0.073
2020-05-06T21:40:23	Greg Hogan	azure	250000	25000000						3	0.073
2020-05-23T09:14:35	Oliver Kruse	IOS-3	250000	25000000						3	0.073
2020-06-08T09:10:53	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-06-22T02:55:38	MarkS	laptop64	250000	25000000						3	0.073
2020-06-30T16:26:24	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.073
2020-07-16T06:44:36	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2020-07-25T07:48:12	Ahmed Azhad	c5.4xlarge.azf	250000	25000000						3	0.073
2020-08-14T02:44:19	volki	home	250000	25000000						3	0.073
2020-09-27T15:42:55	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						7	0.171
2020-10-29T04:09:27	Ahmed Azhad	c5.large.az	250000	25000000						7	0.171
2020-11-15T12:09:14	Tsurumaki Kokoro	Baidu_HK_1	250000	25000000						7	0.171
2021-01-11T15:27:51	ZacHFX	Ryzen	250000	25000000						7	0.171
2021-02-04T02:28:59	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.171
2021-03-18T18:37:41	Chang Chia-Tche	exbpc13	250000	25000000						7	0.171
2021-05-02T10:47:28	nordi	sweet16	250000	38500000						7	0.202
2021-07-05T22:13:58	Daniil Tsarkov	9900KF	250000	25000000						7	0.171
2021-08-16T04:11:40	Daniel Tobias Johansen Langhoff	dell-xps15-7590	250000	25000000						7	0.171
2021-09-10T23:46:48	Dylan Delgado	colab	250000	38500000						7	0.202
2021-10-20T18:06:24	Mirel Alin Ciornei	amd5900hs	250000	25000000						7	0.171

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