M195761 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	49.5237%	1.3607	49.5237%	49.5237%
PrimeNet	2⁴⁰	0.0000	55.0000%	2200	50000	0.0000	12.6031%	0.0000	60.6714%	5.6714%
GPU72	2⁴⁴	0.0000	59.0909%	3600	80000	0.0001	8.8339%	0.0001	62.7048%	3.6139%
Difference	-44	0.0000	-59.0909%	+99996400	+1999920000	+1.3607	+40.6899%	+1.3607	-13.1810%	-13.1810%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
195761	2884256439161	13	41.391	7366780 2² × 5 × 17 × 47 × 461	-	47	461	2.306e-6	4.651e-7	6.395e-7

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2017-06-09T20:25:32	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 2884256439161	-	-	1.361	-	-	42.005%

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.558 GHz-days
Estimated T-Level:	28.516

Digits	B1	Curves	Complete	FacMiss
20	11000	731 / 100	7.310	0.064%
25	50000	731 / 280	2.611	7.314%
30	250000	450 / 640	0.703	49.476%

New Calculation Method

Total ECM effort:	12.558 GHz-days
Estimated T-Level:	28.516

Digits	B1	Complete	FacMiss
20	11000	52.208	0.000%
25	50000	7.403	0.061%
30	250000	0.771	46.247%
35	1000000	0.063	93.896%
40	3000000	0.004	99.582%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	1.371
250000	25000000		396	9.66
250000	31250000		7	0.185
250000	36000000		7	0.196
250000	38000000		7	0.200
250000	38500000		28	0.805
250000	38500000	2884256439161	5	0.144

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-07-06T10:37:00	TJAOI	Manual testing	50000	5000000						50	0.244
2014-12-19T13:15:00	TJAOI	Manual testing	50000	5000000						50	0.244
2015-06-12T09:26:00	TJAOI	Manual testing	50000	5000000						90	0.439
2016-02-05T19:20:16	TJAOI	Manual testing	50000	5000000						91	0.444
2017-04-21T14:27:47	TJAOI	Manual testing	250000	25000000						44	1.073
2019-02-15T12:23:01	TJAOI	Manual testing	250000	25000000						100	2.439
2019-11-30T14:55:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-01T16:20:49	kracker	O0	250000	25000000						3	0.073
2019-12-02T13:41:26	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-12-03T19:34:19	kracker	O0	250000	25000000						3	0.073
2019-12-04T20:10:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-05T22:48:20	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-07T01:41:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-08T02:26:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-09T07:42:40	Ducho_YYZ	oracleDE	250000	25000000						3	0.073
2019-12-10T07:36:51	Ducho_YYZ	oracleSW	250000	25000000						3	0.073
2019-12-11T02:37:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-12T08:33:44	Ducho_YYZ	oracleJP	250000	25000000						3	0.073
2019-12-13T03:47:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-14T04:58:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-15T06:49:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-16T10:50:01	kracker	O0	250000	25000000						3	0.073
2019-12-17T11:54:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-18T21:48:29	Ducho_YYZ	oracleSW	250000	25000000						3	0.073
2019-12-19T22:02:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-21T04:28:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-22T12:53:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-24T03:11:09	Ducho_YYZ	oracleKO2	250000	25000000						3	0.073
2019-12-25T10:55:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-27T10:35:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-29T08:12:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-31T06:20:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-02T06:34:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-04T14:19:40	MarkS	desktop-i7	250000	25000000						3	0.073
2020-01-06T12:13:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-08T17:35:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-10T22:04:35	kracker	O0	250000	25000000						3	0.073
2020-01-13T02:48:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-15T07:28:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-17T11:58:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-19T20:26:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-22T05:09:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-24T11:59:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-26T23:53:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-29T13:51:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-01T09:07:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-04T09:42:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-07T14:35:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-10T23:49:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-14T14:28:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-04-21T16:19:42	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-04-22T21:49:46	Oliver Kruse	IOS-1	250000	25000000						3	0.073
2020-04-23T19:47:10	FreeTibet	alfa	250000	25000000						3	0.073
2020-04-24T13:53:22	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2020-04-25T02:23:11	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-04-25T14:41:12	Oliver Kruse	IOS-1	250000	25000000						3	0.073
2020-04-26T02:49:30	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-04-26T15:11:25	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-04-26T23:12:39	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-27T11:01:06	kracker	O0	250000	25000000						3	0.073
2020-05-01T11:47:22	Greg	azure2	250000	25000000						3	0.073
2020-05-06T08:22:49	Greg Hogan	azure	250000	25000000						3	0.073
2020-05-21T14:23:47	Oliver Kruse	IOS-3	250000	25000000						3	0.073
2020-06-07T04:15:45	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-06-21T11:09:18	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-06-30T21:26:41	nordi	sweet16	250000	25000000						3	0.073
2020-07-17T20:44:20	argusdusty	Argus-PC	250000	25000000						3	0.073
2020-07-25T01:36:05	Ahmed Azhad	c5.large.az	250000	25000000						3	0.073
2020-08-12T15:09:12	volki	home	250000	25000000						3	0.073
2020-09-25T00:08:25	nordi	sweet16	250000	25000000						7	0.171
2020-10-27T20:18:27	Tsurumaki Kokoro	Baidu_HK_1	250000	25000000						7	0.171
2020-11-12T00:34:54	Albrecht Heeffer	Ryzen5-factoring	250000	25000000						7	0.171
2021-01-10T14:52:15	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.171
2021-02-10T06:18:26	happy5214	Focus	250000	38500000						7	0.201
2021-05-08T19:57:24	Chang Chia-Tche	exbpc13	250000	25000000						7	0.171
2021-07-11T19:04:21	seatsea	Manual testing	250000	38500000	2884256439161	41.391	5	2		5	0.144
2021-07-21T02:05:55	Eric	miniPCWindows	250000	38000000						7	0.200
2021-08-03T12:54:24	Daniil Tsarkov	9900KF	250000	25000000						7	0.171
2021-09-07T00:27:35	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2021-10-08T21:12:29	Luminescence	Main	250000	38500000						7	0.201
2021-12-04T04:19:08	mnd9	f4	250000	25000000						7	0.171
2022-02-14T04:23:51	Dylan Delgado	colab	250000	38500000						7	0.201
2022-04-14T17:01:15	Dylan Delgado	colab	250000	38500000						7	0.201
2022-05-29T12:58:03	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2022-06-21T18:10:37	debrouxl	dl380g9-1	250000	36000000						7	0.196
2022-07-16T16:28:21	MarkS	desktop-i7	250000	31250000						7	0.185

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