M189067 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	49.4662%	1.3607	49.4662%	49.4662%
PrimeNet	2⁴⁰	0.0000	55.0000%	2000	45000	0.0000	12.1225%	0.0000	60.4551%	5.4551%
GPU72	2⁴⁴	0.0000	59.0909%	3400	70000	0.0000	8.4465%	0.0001	62.5463%	3.4554%
Difference	-44	0.0000	-59.0909%	+99996600	+1999930000	+1.3607	+41.0197%	+1.3607	-13.0801%	-13.0801%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
189067	689923881866039	15	49.293	1824548657 149 × 12245293	-	149	12245293	0.0008	0.0045	0.0083
189067	582125921672433932928798862579889	33	108.843	1539469927783362334328039432 2³ × 13 × 29 × 359 × 1531 × 63421 × 14643238897153	2020-07-03	63421	14643238897153	9.195e+11	5,334.2	9,962.8

exponent	prime factors	composite factor	digits	bits*
189067	689923881866039 582125921672433932928798862579889	401622575615091380801603618779226729579033489671	48	158.136

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2017-08-01T00:16:32	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 689923881866039	-	-	1.361	-	-	41.943%

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.542 GHz-days
Estimated T-Level:	28.570

Digits	B1	Curves	Complete	FacMiss
20	11000	738 / 100	7.380	0.060%
25	50000	738 / 280	2.636	7.133%
30	250000	457 / 640	0.714	48.938%

New Calculation Method

Total ECM effort:	12.542 GHz-days
Estimated T-Level:	28.570

Digits	B1	Complete	FacMiss
20	11000	47.148	0.000%
25	50000	6.332	0.178%
30	250000	0.646	52.438%
35	1000000	0.052	94.951%
40	3000000	0.003	99.660%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	1.370
250000	25000000		345	8.407
250000	25000000	582125921672433932928798862579889	98	2.388
250000	32250000		7	0.187
250000	33750000		7	0.190

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
2015-01-02T14:33:00	TJAOI	Manual testing	50000	5000000						50	0.244
2015-07-17T09:23:00	TJAOI	Manual testing	50000	5000000						90	0.439
2016-07-01T10:26:34	TJAOI	Manual testing	50000	5000000						91	0.444
2017-08-11T11:11:45	TJAOI	Manual testing	250000	25000000						44	1.072
2019-03-15T00:54:33	King	No.1_FactorFinder	250000	25000000						3	0.073
2019-04-28T07:14:05	happy5214	Cosmic	250000	25000000						3	0.073
2019-05-28T21:00:18	storm5510	M520_Arrandale	250000	25000000						3	0.073
2019-07-03T11:38:32	storm5510	M520_Arrandale	250000	25000000						3	0.073
2019-09-19T11:50:51	storm5510	7700_Kaby_Lake	250000	25000000						3	0.073
2019-10-21T11:34:22	TJAOI	Manual testing	250000	25000000						91	2.218
2019-11-26T02:11:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-26T17:07:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-27T13:06:58	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2019-11-28T03:05:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-28T21:53:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-29T16:38:57	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-30T21:03:01	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2019-12-01T20:11:31	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2019-12-02T16:04:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-04T01:18:25	Ducho_YYZ	oracleJP	250000	25000000						3	0.073
2019-12-04T21:33:03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-06T00:15:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-07T03:05:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-08T10:29:03	Ducho_YYZ	oracleJP	250000	25000000						3	0.073
2019-12-09T04:08:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-10T03:47:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-11T08:28:09	Ducho_YYZ	oracleDE	250000	25000000						3	0.073
2019-12-12T08:54:45	Ducho_YYZ	oracle	250000	25000000						3	0.073
2019-12-13T09:56:50	Ducho_YYZ	oracleKO	250000	25000000						3	0.073
2019-12-14T06:24:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-15T08:13:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-16T10:27:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-17T13:23:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-18T23:23:40	Ducho_YYZ	oracleSW2	250000	25000000						3	0.073
2019-12-19T23:42:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-21T06:11:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-22T20:15:04	Ducho_YYZ	oracleAU	250000	25000000						3	0.073
2019-12-23T23:21:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-25T13:18:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-27T13:10:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-29T10:34:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-31T09:01:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-02T10:39:07	kracker	O0	250000	25000000						3	0.073
2020-01-04T12:21:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-06T15:10:13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-08T20:39:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-10T23:56:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-13T06:02:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-15T10:16:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-17T14:54:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-19T23:44:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-22T08:15:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-24T14:43:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-27T02:53:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-29T17:16:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-01T14:23:30	kracker	O0	250000	25000000						3	0.073
2020-02-04T13:48:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-07T18:50:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-11T05:08:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-14T19:15:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-04-22T03:56:25	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-04-23T04:45:34	Oliver Kruse	IOS-1	250000	25000000						3	0.073
2020-04-24T01:57:37	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-24T17:10:05	kracker	O0	250000	25000000						3	0.073
2020-04-25T03:38:59	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-25T16:08:38	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-26T04:18:16	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-26T16:31:40	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-27T03:45:56	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2020-04-27T10:04:06	Greg	azure	250000	25000000						3	0.073
2020-05-01T22:56:43	Oliver Kruse	Melissa	250000	25000000						3	0.073
2020-05-06T18:37:44	Greg Hogan	azure2	250000	25000000						3	0.073
2020-05-22T19:17:09	kracker	O0	250000	25000000						3	0.073
2020-06-08T07:47:19	J.R. Allen	lapdell-kubuntu	250000	25000000						3	0.073
2020-06-21T23:20:13	nordi	sweet16	250000	25000000						3	0.073
2020-07-02T10:56:02	nordi	sweet16	250000	25000000	582125921672433932928798862579889	108.843	98	2	2556419119925746	98	2.388
2022-02-24T21:05:38	Team_Inspector	SpudBoy4	250000	32250000						7	0.187
2022-04-23T01:19:07	Kina	ftYogaUbuntu	250000	33750000						7	0.190

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