M222317 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	133.6556	73.1343%	30000000	10070832992220	4,464.4073	23.2606%	4,598.0629	79.3834%	6.2491%
PrimeNet	2⁴⁰	0.0000	55.0000%	2400	60000	0.0000	13.4484%	0.0000	61.0518%	6.0518%
GPU72	2⁴⁴	0.0000	59.0909%	4000	90000	0.0001	9.4050%	0.0001	62.9384%	3.8475%
Difference	+23	+133.6556	+14.0434%	+29996000	+10070832902220	+4,464.4072	+13.8556%	+4,598.0628	+16.4450%	+16.4450%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
222317	22693874519492779083817943	26	84.231	51039449343713659063 17 × 73 × 31039 × 1325032338737	2007-09-17	31039	1325032338737	25,568,446	587.36	1,097.0

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-05-13T00:00:00	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.005	-	-	2.664%
2002-06-02T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.002	-	-	1.520%
2002-08-03T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.003	-	-	2.191%
2003-02-24T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.007	-	-	2.991%
2003-10-23T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.014	-	-	3.906%
2021-06-24T09:21:28	Oliver Kruse	Ollaptop	30000000	3000000000		-		-	-	1.561	-	-	12.458%
2022-03-09T19:25:47	Oliver Kruse	Threadripper-PC	30000000	10070832992220		-	skipped known factor: 22693874519492779083817943	-	-	4,464	-	-	23.261%

	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	-	-
2000-04-19T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.011	-	-
2022-03-07T05:44:03	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.011	-	-
2001-02-11T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.043	-	-
2002-04-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.086	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.636 GHz-days
Estimated T-Level:	27.828

Digits	B1	Curves	Complete	FacMiss
20	11000	639 / 100	6.390	0.163%
25	50000	639 / 280	2.282	10.165%
30	250000	362 / 640	0.566	56.775%

New Calculation Method

Total ECM effort:	12.636 GHz-days
Estimated T-Level:	27.828

Digits	B1	Complete	FacMiss
20	11000	43.945	0.000%
25	50000	6.137	0.216%
30	250000	0.632	53.160%
35	1000000	0.051	95.011%
40	3000000	0.003	99.661%

ECM Summary

B1	B2	factor	curves	GHz-days
		22693874519492779083817943	1	0.00000e+0
50000	5000000		277	1.650
250000	25000000		320	9.53
250000	36000000		7	0.239
250000	36250000		14	0.479
250000	38500000		21	0.737

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-15T04:14:00	ANONYMOUS	Bayes	50000	5000000						1	0.006
2007-08-24T11:45:00	Chad Davis	Bayes	50000	5000000						1	0.006
2007-09-02T21:16:00	Team_Bundu	bundu1	50000	5000000						1	0.006
2007-09-17T09:17:00	Chad Davis	Bayes			22693874519492779083817943	84.231		1		1	-
2014-07-28T14:44:00	TJAOI	Manual testing	50000	5000000						43	0.256
2014-12-19T13:17:00	TJAOI	Manual testing	50000	5000000						50	0.298
2015-08-07T10:55:00	TJAOI	Manual testing	50000	5000000						90	0.536
2016-06-17T16:26:44	TJAOI	Manual testing	50000	5000000						91	0.542
2017-07-14T09:28:27	TJAOI	Manual testing	250000	25000000						44	1.310
2019-11-27T04:05:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-11-27T21:09:22	happy5214	Cosmic	250000	25000000						3	0.089
2019-11-28T14:09:50	ATH	ec2-ECMCF	250000	25000000						3	0.089
2019-11-29T10:47:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-11-30T08:23:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-01T07:30:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-02T07:55:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-03T10:12:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-04T12:53:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-05T14:48:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-06T19:17:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-07T20:37:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-09T01:27:09	Ducho_YYZ	oracleKO2	250000	25000000						3	0.089
2019-12-10T00:32:50	Ducho_YYZ	oracleDE2	250000	25000000						3	0.089
2019-12-10T19:21:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-12T00:58:35	Ducho_YYZ	oracleJP	250000	25000000						3	0.089
2019-12-12T20:23:00	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-13T21:34:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-15T00:23:42	kracker	O0	250000	25000000						3	0.089
2019-12-16T06:18:16	Ducho_YYZ	oracleSW2	250000	25000000						3	0.089
2019-12-17T03:59:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-18T08:21:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-19T20:08:35	Ducho_YYZ	oracleJP	250000	25000000						3	0.089
2019-12-20T19:03:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-22T03:05:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-23T16:54:33	Ducho_YYZ	oracleKO	250000	25000000						3	0.089
2019-12-24T20:27:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-26T19:48:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-28T17:59:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-30T15:49:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-01T15:46:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-03T18:38:20	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-05T20:06:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-06T12:18:58	TJAOI	Manual testing	250000	25000000						61	1.817
2020-03-09T01:05:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-15T01:56:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-20T12:05:07	-Anonymous-	aws-nano	250000	25000000						3	0.089
2020-04-19T18:06:55	Oliver Kruse	Melissa	250000	25000000						3	0.089
2020-04-30T06:25:18	Greg	azure4	250000	25000000						3	0.089
2020-05-04T13:56:19	kracker	O0	250000	25000000						3	0.089
2020-05-14T21:28:25	alpertron	laptop3	250000	25000000						3	0.089
2020-06-02T03:45:24	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2020-06-18T04:46:45	nordi	sweet16	250000	25000000						3	0.089
2020-06-27T13:43:51	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.089
2020-07-09T23:26:01	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.089
2020-07-22T21:50:43	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.089
2020-08-04T23:21:45	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2020-09-30T14:40:16	nordi	sweet16	250000	25000000						7	0.208
2020-10-23T19:19:19	nordi	sweet16	250000	25000000						7	0.208
2020-11-07T11:59:05	nordi	sweet16	250000	25000000						7	0.208
2020-12-31T20:11:48	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.208
2021-01-27T13:04:54	Chang Chia-Tche	exbpc13	250000	25000000						7	0.208
2021-03-06T12:54:21	ZacHFX	5600X	250000	25000000						7	0.208
2021-04-26T06:04:45	nordi	sweet16	250000	38500000						7	0.246
2021-06-21T06:43:41	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.208
2021-07-31T19:51:37	volki	home	250000	25000000						7	0.208
2021-09-03T16:04:21	Dylan Delgado	colab	250000	38500000						7	0.246
2021-10-12T13:18:24	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.208
2021-12-03T16:25:39	Luminescence	W-2295	250000	36000000						7	0.239
2022-02-17T04:32:51	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.208
2022-04-08T13:03:37	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.208
2022-05-23T02:13:46	Dylan Delgado	desktoplinux	250000	38500000						7	0.246
2022-06-19T19:18:42	debrouxl	o9020	250000	36250000						7	0.240
2022-07-15T03:34:29	debrouxl	o9020	250000	36250000						7	0.240

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