M179083 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	49.3761%	1.3607	49.3761%	49.3761%
PrimeNet	2⁴⁰	0.0000	55.0000%	1900	45000	0.0000	11.9343%	0.0000	60.3704%	5.3704%
GPU72	2⁴⁴	0.0000	59.0909%	3200	70000	0.0000	8.2825%	0.0001	62.4792%	3.3883%
Difference	-44	0.0000	-59.0909%	+99996800	+1999930000	+1.3607	+41.0936%	+1.3607	-13.1031%	-13.1031%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
179083	2865329	7	21.450	8 2³	-	8	8	1.563e-12	5.349e-8	1.089e-7
179083	871015691827657970710485549328223	33	109.424	2431877095613927538377415917 32408143 × 75039075691992828419	2019-11-16	32408143	75039075691992828419	8.299e+11	2.734e+10	5.105e+10

exponent	prime factors	composite factor	digits	bits*
179083	2865329 871015691827657970710485549328223	2495746521248851385557904848571087880367	40	130.875

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2017-06-23T04:24:12	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 2865329	-	-	1.361	-	-	41.845%

ECM factoring results:

Old Calculation Method

Total ECM effort:	13.405 GHz-days
Estimated T-Level:	28.836

Digits	B1	Curves	Complete	FacMiss
20	11000	772 / 100	7.720	0.043%
25	50000	772 / 280	2.757	6.316%
30	250000	491 / 640	0.767	46.404%

New Calculation Method

Total ECM effort:	13.405 GHz-days
Estimated T-Level:	28.836

Digits	B1	Complete	FacMiss
20	11000	49.981	0.000%
25	50000	6.754	0.117%
30	250000	0.691	50.100%
35	1000000	0.056	94.590%
40	3000000	0.004	99.635%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	1.368
250000	25000000		469	11.41
250000	25000000	871015691827657970710485549328223	1	0.024
250000	37250000		7	0.198
250000	38500000		14	0.401

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-06-16T11:48:00	TJAOI	Manual testing	50000	5000000						50	0.243
2014-12-19T13:16:00	TJAOI	Manual testing	50000	5000000						50	0.243
2015-07-24T08:16:00	TJAOI	Manual testing	50000	5000000						90	0.438
2016-09-02T12:14:07	TJAOI	Manual testing	50000	5000000						91	0.443
2017-07-14T09:27:35	TJAOI	Manual testing	250000	25000000						44	1.071
2019-02-21T22:03:02	happy5214	Cosmic	250000	25000000						3	0.073
2019-03-02T05:50:00	King	No.1_FactorFinder	250000	25000000						3	0.073
2019-03-15T04:24:21	happy5214	Cosmic	250000	25000000						3	0.073
2019-04-21T08:09:08	happy5214	Cosmic	250000	25000000						3	0.073
2019-05-25T04:46:28	storm5510	M520_Arrandale	250000	25000000						3	0.073
2019-06-26T08:37:29	storm5510	M520_Arrandale	250000	25000000						3	0.073
2019-09-09T01:41:18	storm5510	M520_Arrandale	250000	25000000						3	0.073
2019-11-16T10:04:22	kracker	O0	250000	25000000						3	0.073
2019-11-16T11:37:36	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-16T12:02:20	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-16T21:46:48	George Woltman	kaggle3	250000	25000000						3	0.073
2019-11-16T22:10:40	Chang Chia-Tche	exbpc13	250000	25000000	871015691827657970710485549328223	109.424	1	2		1	0.024
2019-11-18T21:24:35	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-18T21:29:31	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-18T21:31:05	George Woltman	kaggle3	250000	25000000						3	0.073
2019-11-18T21:31:10	George Woltman	kaggle3	250000	25000000						3	0.073
2019-11-18T21:34:27	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-18T21:43:27	George Woltman	kaggle3	250000	25000000						3	0.073
2019-11-18T22:28:54	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-19T00:24:41	kracker	O0	250000	25000000						3	0.073
2019-11-19T06:32:59	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-19T10:34:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-19T12:17:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-19T13:54:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-19T15:34:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-19T17:21:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-19T18:52:04	Ducho_YYZ	Dutch	250000	25000000						3	0.073
2019-11-19T19:02:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-19T20:46:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-19T22:33:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-20T02:48:13	kracker	O0	250000	25000000						3	0.073
2019-11-20T03:30:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-20T06:14:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-20T09:19:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-20T21:58:17	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2019-11-20T22:43:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-21T03:24:48	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-21T08:12:46	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2019-11-21T10:10:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-21T16:36:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-22T00:20:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-22T08:49:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-22T17:52:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-23T04:01:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-23T15:52:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-24T04:27:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-24T17:30:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-25T06:50:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-25T22:05:00	kracker	O0	250000	25000000						3	0.073
2019-11-26T11:43:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-27T03:32:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-27T23:01:07	kracker	O0	250000	25000000						3	0.073
2019-11-28T17:21:14	wazuma	G751	250000	25000000						3	0.073
2019-11-29T10:11:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-30T07:40:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-01T06:46:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-02T06:07:16	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-12-03T09:22:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-04T12:06:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-05T13:59:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-06T17:27:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-07T19:52:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-08T19:03:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-09T23:50:17	Ducho_YYZ	oracleSW2	250000	25000000						3	0.073
2019-12-10T18:40:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-12T01:11:50	Ducho_YYZ	oracleSP2	250000	25000000						3	0.073
2019-12-12T20:53:21	kracker	O0	250000	25000000						3	0.073
2019-12-14T01:46:40	Ducho_YYZ	oracleKO	250000	25000000						3	0.073
2019-12-14T22:25:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-16T00:44:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-17T03:18:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-18T07:33:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-19T12:36:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-20T18:17:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-22T07:59:26	Ducho_YYZ	oracleAU	250000	25000000						3	0.073
2019-12-23T10:56:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-24T19:10:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-26T18:33:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-28T16:50:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-30T14:42:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-01T18:51:11	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2020-01-03T17:27:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-05T18:39:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-08T00:37:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-10T04:00:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-12T09:09:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-14T13:59:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-16T18:13:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-19T01:44:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-21T11:09:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-23T17:45:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-26T03:28:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-28T16:44:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-31T11:23:53	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-02-03T10:17:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-07T08:13:11	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.073
2020-02-09T20:14:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-13T10:35:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-17T07:03:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-20T09:44:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-24T02:25:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-27T08:54:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-02T04:39:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-06T21:58:11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-12T18:46:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-18T10:39:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-04-15T02:18:29	Oliver Kruse	IOS-1	250000	25000000						3	0.073
2020-04-21T18:22:35	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.073
2020-04-30T03:55:23	Greg	azure4	250000	25000000						3	0.073
2020-05-04T12:20:54	kracker	O0	250000	25000000						3	0.073
2020-05-14T10:52:52	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-06-01T22:02:37	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2020-06-17T21:13:33	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2020-06-27T11:46:00	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.073
2020-07-09T13:36:30	kracker	O0	250000	25000000						3	0.073
2020-07-22T14:11:40	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.073
2020-08-04T10:46:27	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-09-15T04:12:55	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						7	0.170
2020-10-23T14:29:44	nordi	sweet16	250000	25000000						7	0.170
2020-11-07T05:18:49	nordi	sweet16	250000	25000000						7	0.170
2020-12-30T07:33:22	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						7	0.170
2021-01-27T04:20:55	Chang Chia-Tche	exbpc13	250000	25000000						7	0.170
2021-03-06T16:45:18	Ducho_YYZ	Dutch	250000	37250000						7	0.198
2021-04-29T08:21:41	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						7	0.170
2021-06-19T13:58:11	Jonathan Webb	Desktop2021	250000	25000000						7	0.170
2021-07-30T11:43:52	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.170
2021-09-03T07:27:42	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.170
2021-10-05T04:49:38	Dylan Delgado	colab	250000	38500000						7	0.201
2021-12-02T05:42:49	JackBlock	school2	250000	25000000						7	0.170
2022-02-10T14:22:29	Dylan Delgado	colab	250000	38500000						7	0.201
2022-04-08T09:03:49	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.170

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