M197507 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	unknown	100000000	2000000000	1.3607	49.5383%	1.3607	49.5383%	49.5383%
PrimeNet	2⁴⁰	0.0000	55.0000%	2200	50000	0.0000	12.6202%	0.0000	60.6791%	5.6791%
GPU72	2⁴⁴	0.0000	59.0909%	3600	80000	0.0001	8.8469%	0.0001	62.7101%	3.6192%
Difference	-44	0.0000	-59.0909%	+99996400	+1999920000	+1.3607	+40.6914%	+1.3607	-13.1718%	-13.1718%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
197507	195411372348557023	18	57.439	494694801573 3 × 7² × 89 × 139 × 272029	2014-04-23	139	272029	0.1825	9.997e-5	0.0002
197507	40816529536750543810018110777377	32	105.009	103329323863839114082078384 2⁴ × 17 × 307833013273 × 1234069133939	2022-06-09	307833013273	1234069133939	6.798e+11	2,395.6	4,188.8

exponent	prime factors	composite factor	digits	bits*
197507	195411372348557023 40816529536750543810018110777377	7976014051281836212183085015906216399890742868671	49	162.448

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2017-09-18T14:01:26	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 195411372348557023	-	-	1.361	-	-	42.021%

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.266 GHz-days
Estimated T-Level:	28.445

Digits	B1	Curves	Complete	FacMiss
20	11000	722 / 100	7.220	0.071%
25	50000	722 / 280	2.579	7.553%
30	250000	441 / 640	0.689	50.178%

New Calculation Method

Total ECM effort:	12.266 GHz-days
Estimated T-Level:	28.445

Digits	B1	Complete	FacMiss
20	11000	51.280	0.000%
25	50000	7.255	0.071%
30	250000	0.754	47.032%
35	1000000	0.062	94.032%
40	3000000	0.004	99.591%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	1.371
250000	25000000		397	9.69
250000	25000000	40816529536750543810018110777377	2	0.049
250000	31250000		7	0.185
250000	33750000		14	0.381
250000	36000000		7	0.196
250000	37250000		7	0.198
250000	38500000		7	0.201

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
2014-12-19T13:16:00	TJAOI	Manual testing	50000	5000000						50	0.244
2015-05-29T10:14:00	TJAOI	Manual testing	50000	5000000						90	0.439
2016-02-26T13:28:34	TJAOI	Manual testing	50000	5000000						91	0.444
2017-06-02T16:25:57	TJAOI	Manual testing	250000	25000000						44	1.073
2019-01-04T14:23:25	TJAOI	Manual testing	250000	25000000						100	2.440
2019-12-02T15:21:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-03T18:17:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-04T20:46:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-06T06:03:54	Ducho_YYZ	oracleSP2	250000	25000000						3	0.073
2019-12-07T02:20:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-08T03:57:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-09T03:27:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-10T03:07:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-11T08:20:09	Ducho_YYZ	oracleSW	250000	25000000						3	0.073
2019-12-12T08:18:03	Ducho_YYZ	oracleSW	250000	25000000						3	0.073
2019-12-13T04:25:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-14T05:41:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-15T12:21:55	Ducho_YYZ	oracle	250000	25000000						3	0.073
2019-12-16T11:24:02	kracker	O0	250000	25000000						3	0.073
2019-12-17T12:44:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-18T17:25:00	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-19T22:47:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-21T10:23:36	Ducho_YYZ	oracleKO	250000	25000000						3	0.073
2019-12-22T13:43:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-23T22:26:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-25T12:04:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-27T11:46:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-29T09:20:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-31T07:30:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-02T07:53:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-04T10:51:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-06T13:30:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-08T18:52:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-10T23:42:06	kracker	O0	250000	25000000						3	0.073
2020-01-13T04:18:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-15T08:46:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-17T13:18:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-19T21:47:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-22T06:41:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-24T13:18:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-27T01:14:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-29T15:12:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-01T12:12:34	kracker	O0	250000	25000000						3	0.073
2020-02-04T13:14:31	kracker	O0	250000	25000000						3	0.073
2020-02-07T16:16:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-11T05:01:05	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-02-14T16:34:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-04-21T23:08:51	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.073
2020-04-23T00:50:29	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-04-24T00:59:23	Oliver Kruse	IOS-1	250000	25000000						3	0.073
2020-04-24T13:15:31	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-25T01:55:54	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-25T15:58:48	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2020-04-26T02:12:00	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-26T16:34:45	Oliver Kruse	IOS-1	250000	25000000						3	0.073
2020-04-26T21:55:30	Greg	azure	250000	25000000						3	0.073
2020-04-27T14:59:40	Oliver Kruse	IOS-1	250000	25000000						3	0.073
2020-05-01T21:51:57	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2020-05-06T13:15:12	Greg Hogan	azure3	250000	25000000						3	0.073
2020-05-22T02:33:01	Oliver Kruse	IOS-3	250000	25000000						3	0.073
2020-06-09T02:07:21	nordi	sweet16	250000	25000000						3	0.073
2020-06-21T14:10:19	kracker	O0	250000	25000000						3	0.073
2020-07-01T00:08:22	LaurV	3tits	250000	25000000						3	0.073
2020-07-15T08:46:06	MarkS	desktop-i7	250000	25000000						3	0.073
2020-07-25T05:19:10	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.073
2020-08-12T22:30:14	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2020-09-26T02:25:18	Chang Chia-Tche	exbpc13	250000	25000000						7	0.171
2020-10-28T04:36:23	Tsurumaki Kokoro	Baidu_HK_1	250000	25000000						7	0.171
2020-11-13T09:19:58	Chang Chia-Tche	exbpc13	250000	25000000						7	0.171
2021-01-11T01:53:38	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2021-02-03T05:51:24	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2021-03-16T22:35:39	Ducho_YYZ	Dutch	250000	37250000						7	0.198
2021-05-08T22:03:09	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.171
2021-07-19T05:03:49	Daniel Tobias Johansen Langhoff	dell-xps15-7590	250000	25000000						7	0.171
2021-08-20T10:08:27	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.171
2021-09-23T22:31:03	happy5214	Focus	250000	38500000						7	0.201
2021-11-04T02:56:11	Luminescence	Main	250000	33750000						7	0.190
2022-01-24T20:23:25	Nacnud	Calculator_2	250000	33750000						7	0.190
2022-03-23T06:57:19	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2022-05-17T02:18:17	Dylan Delgado	laptop-ryzen73700	250000	31250000						7	0.185
2022-06-09T04:42:54	Corey	tab	250000	25000000	40816529536750543810018110777377	105.009	2	2	5355633196000105	2	0.049
2022-06-17T09:42:19	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.171
2022-07-10T23:22:28	debrouxl	o9020	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