M185957 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	159.7892	73.1343%	100000000	2000000000	1.3607	12.2661%	161.1499	76.4297%	3.2954%
PrimeNet	2⁴⁰	0.0000	55.0000%	2000	45000	0.0000	12.0910%	0.0000	60.4409%	5.4409%
GPU72	2⁴⁴	0.0000	59.0909%	3400	70000	0.0000	8.4227%	0.0001	62.5366%	3.4457%
Difference	+23	+159.7892	+14.0434%	+99996600	+1999930000	+1.3607	+3.8433%	+161.1499	+13.8931%	+13.8931%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
185957	1157713875811847119	19	60.006	3112853712987 3 × 3511 × 295533439	2007-08-15	3511	295533439	1.6138	0.1077	0.2011

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-05-27T00:00:00	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.004	-	-	2.593%
2002-06-02T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.001	-	-	1.472%
2002-07-27T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.003	-	-	2.129%
2003-02-16T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.006	-	-	2.914%
2003-10-08T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.011	-	-	3.816%
2006-02-01T00:00:00	Jocelyn Larouche	v4_computers	1000000	1000000		-		-	-	0.007	-	-	1.908%
2017-05-26T18:28:59	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 1157713875811847119	-	-	1.361	-	-	12.266%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-11-10T00:00:00	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.003	-	-
2000-04-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.013	-	-
2022-03-07T04:34:31	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.013	-	-
2001-01-28T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.052	-	-
2002-05-11T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.103	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	14.451 GHz-days
Estimated T-Level:	28.789

Digits	B1	Curves	Complete	FacMiss
20	11000	761 / 100	7.610	0.048%
25	50000	761 / 280	2.718	6.570%
30	250000	485 / 640	0.758	46.841%

New Calculation Method

Total ECM effort:	14.451 GHz-days
Estimated T-Level:	28.789

Digits	B1	Complete	FacMiss
20	11000	55.199	0.000%
25	50000	7.900	0.037%
30	250000	0.827	43.718%
35	1000000	0.068	93.443%
40	3000000	0.005	99.548%

ECM Summary

B1	B2	factor	curves	GHz-days
		1157713875811847119	1	0.00000e+0
50000	5000000		276	1.345
250000	25000000		450	10.96
250000	33750000		7	0.190
250000	38500000		21	0.602
250000	551335785		7	1.353

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-15T14:40:00	Team_Bundu	bundu1			1157713875811847119	60.006		1		1	-
2011-02-16T21:31:00	James Hintz	NEW_OMFG	50000	5000000						5	0.024
2014-06-19T16:32:00	TJAOI	Manual testing	50000	5000000						40	0.195
2014-12-19T13:15:00	TJAOI	Manual testing	50000	5000000						50	0.244
2015-06-05T09:21:00	TJAOI	Manual testing	50000	5000000						90	0.438
2016-04-29T14:19:32	TJAOI	Manual testing	50000	5000000						91	0.443
2017-09-08T12:44:48	TJAOI	Manual testing	250000	25000000						44	1.072
2019-03-07T16:46:07	King	No.1_FactorFinder	250000	25000000						3	0.073
2019-03-31T14:45:37	dannyridel	4	250000	25000000						3	0.073
2019-05-08T21:49:45	happy5214	Cosmic	250000	25000000						3	0.073
2019-06-05T03:26:23	storm5510	M520_Arrandale	250000	25000000						3	0.073
2019-08-28T08:25:54	storm5510	M520_Arrandale	250000	25000000						3	0.073
2019-09-16T14:07:28	TJAOI	Manual testing	250000	25000000						88	2.144
2019-11-23T11:01:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-23T23:11:00	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-24T13:34:12	kracker	O0	250000	25000000						3	0.073
2019-11-25T01:09:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-25T14:29:13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-26T05:21:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-26T20:31:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-27T13:18:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-28T06:56:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-29T01:54:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-29T22:18:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-30T21:06:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-01T21:08:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-02T21:59:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-04T00:43:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-05T03:22:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-06T06:23:13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-07T08:56:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-08T14:46:41	Ducho_YYZ	oracleAU2	250000	25000000						3	0.073
2019-12-09T14:11:04	Ducho_YYZ	oracleDE	250000	25000000						3	0.073
2019-12-10T14:35:45	Ducho_YYZ	oracleAU	250000	25000000						3	0.073
2019-12-11T09:08:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-12T15:27:43	Ducho_YYZ	oracleAU	250000	25000000						3	0.073
2019-12-13T10:37:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-14T13:19:34	kracker	O0	250000	25000000						3	0.073
2019-12-15T13:53:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-16T20:51:49	Ducho_YYZ	oracleKO2	250000	25000000						3	0.073
2019-12-18T00:38:53	Ducho_YYZ	oracleKO2	250000	25000000						3	0.073
2019-12-19T00:31:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-20T06:01:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-21T17:59:16	Ducho_YYZ	oracleDE2	250000	25000000						3	0.073
2019-12-23T03:06:07	Ducho_YYZ	oracleAU	250000	25000000						3	0.073
2019-12-24T06:24:13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-25T23:38:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-27T22:58:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-29T20:49:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-31T19:29:00	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-02T19:52:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-04T23:10:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-07T02:36:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-09T08:19:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-11T11:59:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-13T17:31:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-15T21:50:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-18T03:35:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-20T12:54:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-22T20:21:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-25T03:34:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-27T15:51:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-30T08:09:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-02T06:04:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-05T06:51:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-08T16:05:35	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-02-11T23:05:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-18T16:26:40	Bommer	3900X	250000	25000000						3	0.073
2020-02-18T19:47:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-22T08:48:03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-26T03:19:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-29T08:44:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-05T03:33:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-10T12:16:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-16T08:42:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-21T19:44:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-04-11T02:21:56	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-04-28T11:15:31	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-05-02T13:43:23	Greg Hogan	azure4	250000	25000000						3	0.073
2020-05-08T05:12:02	Greg Hogan	azure2	250000	25000000						3	0.073
2020-05-26T08:04:42	nordi	sweet16	250000	25000000						3	0.073
2020-06-12T20:03:15	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						3	0.073
2020-06-23T23:54:22	nordi	sweet16	250000	25000000						3	0.073
2020-07-02T22:27:42	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-07-18T17:08:43	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2020-07-26T21:45:22	MarkS	desktop-i7	250000	25000000						3	0.073
2020-08-17T12:59:46	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.171
2020-10-18T22:36:50	J.R. Allen	lapacer	250000	25000000						7	0.171
2020-11-03T02:52:10	nordi	sweet16	250000	25000000						7	0.171
2020-12-08T09:21:01	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.171
2021-01-22T15:47:27	nordi	sweet16	250000	38500000						7	0.201
2021-03-03T15:25:28	Deufo	Ryzen2600	250000	38500000						7	0.201
2021-04-27T12:14:55	Chang Chia-Tche	exbpc13	250000	25000000						7	0.171
2021-06-16T16:17:29	Jonathan Webb	Desktop2021	250000	25000000						7	0.171
2021-07-30T20:43:33	Daniil Tsarkov	9900KF	250000	25000000						7	0.171
2021-09-01T14:11:36	Ahmed Azhad	c5.large.azf2	250000	38500000						7	0.201
2021-10-13T10:33:07	gangho	piao	250000	25000000						7	0.171
2021-11-30T05:08:50	volki	home	250000	25000000						7	0.171
2022-02-08T06:26:47	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2022-03-31T00:58:03	Corey	tab	250000	25000000						7	0.171
2022-05-20T03:43:30	happy5214	Focus	250000	33750000						7	0.190
2022-06-14T15:42:13	Corey	tab	250000	25000000						7	0.171
2022-07-03T21:42:35	Luminescence	TyrantECM309b1	250000	551335785						7	1.353

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