M188779 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	49.4637%	1.3607	49.4637%	49.4637%
PrimeNet	2⁴⁰	0.0000	55.0000%	2000	45000	0.0000	12.1196%	0.0000	60.4538%	5.4538%
GPU72	2⁴⁴	0.0000	59.0909%	3400	70000	0.0000	8.4443%	0.0001	62.5454%	3.4545%
Difference	-44	0.0000	-59.0909%	+99996600	+1999930000	+1.3607	+41.0193%	+1.3607	-13.0817%	-13.0817%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
188779	57388817	8	25.774	152 2³ × 19	-	8	19	2.446e-11	5.750e-8	1.089e-7
188779	442141774718514344581276400172385405085207	42	138.344	1171056565397937123783038368071621857 688223 × 11977193 × 13139741 × 25435589 × 425074487	2017-07-19	25435589	425074487	9.198e+11	0.3156	0.3461

exponent	prime factors	composite factor	digits	bits*
188779	57388817 442141774718514344581276400172385405085207	25373993397376046233049812955911794465905813930119	50	164.118

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2017-07-19T03:16:29	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12		442141774718514344581276400172385405085207	42	138.344	1.361	0.002	2.721	41.940%

ECM factoring results:

Old Calculation Method

Total ECM effort:	14.208 GHz-days
Estimated T-Level:	28.695

Digits	B1	Curves	Complete	FacMiss
20	11000	754 / 100	7.540	0.051%
25	50000	754 / 280	2.693	6.736%
30	250000	473 / 640	0.739	47.729%

New Calculation Method

Total ECM effort:	14.208 GHz-days
Estimated T-Level:	28.695

Digits	B1	Complete	FacMiss
20	11000	54.365	0.000%
25	50000	7.755	0.043%
30	250000	0.811	44.462%
35	1000000	0.066	93.579%
40	3000000	0.004	99.558%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	281	1.369
250000	25000000	431	10.50
250000	33750000	7	0.190
250000	36000000	14	0.391
250000	38500000	14	0.402
250000	551335785	7	1.354

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
2015-07-03T10:13:00	TJAOI	Manual testing	50000	5000000						90	0.439
2016-07-01T10:26:33	TJAOI	Manual testing	50000	5000000						91	0.443
2017-04-21T14:27:36	TJAOI	Manual testing	250000	25000000						44	1.072
2019-03-14T05:05:25	happy5214	Cosmic	250000	25000000						3	0.073
2019-04-24T18:35:06	happy5214	Cosmic	250000	25000000						3	0.073
2019-05-27T00:37:28	storm5510	M520_Arrandale	250000	25000000						3	0.073
2019-06-30T03:20:52	storm5510	M520_Arrandale	250000	25000000						3	0.073
2019-09-23T15:12:41	TJAOI	Manual testing	250000	25000000						91	2.217
2019-10-06T02:09:41	happy5214	Cosmic	250000	25000000						3	0.073
2019-11-25T21:18:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-26T12:16:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-27T04:16:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-27T21:06:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-28T14:20:17	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-29T11:02:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-30T13:19:54	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2019-12-01T07:39:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-02T08:12:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-03T10:24:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-04T15:13:57	Ducho_YYZ	oracleSP2	250000	25000000						3	0.073
2019-12-05T14:57:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-06T18:15:46	Ducho_YYZ	oracleKO	250000	25000000						3	0.073
2019-12-08T02:22:27	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2019-12-08T19:57:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-09T19:35:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-11T00:30:00	Ducho_YYZ	oracleSW2	250000	25000000						3	0.073
2019-12-11T19:41:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-13T01:30:46	Ducho_YYZ	oracleSW2	250000	25000000						3	0.073
2019-12-14T02:47:14	Ducho_YYZ	oracle	250000	25000000						3	0.073
2019-12-15T06:16:12	Ducho_YYZ	oracleJP	250000	25000000						3	0.073
2019-12-16T08:22:43	Ducho_YYZ	oracleSP2	250000	25000000						3	0.073
2019-12-17T04:19:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-18T08:35:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-19T18:45:14	Ducho_YYZ	oracleDE2	250000	25000000						3	0.073
2019-12-20T19:23:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-22T03:22:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-23T12:11:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-24T20:50:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-26T20:13:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-28T18:23:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-30T16:16:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-01T16:06:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-03T19:02:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-05T20:40:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-08T02:20:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-10T05:46:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-12T10:55:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-14T15:40:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-16T20:11:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-19T03:36:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-21T12:58:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-23T21:47:20	kracker	O0	250000	25000000						3	0.073
2020-01-26T05:35:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-28T19:12:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-31T12:51:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-03T12:32:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-06T15:19:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-09T23:42:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-13T13:39:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-17T13:13:46	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2020-02-20T11:47:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-24T06:29:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-27T14:03:47	Naegi Makoto	1700	250000	25000000						3	0.073
2020-03-02T09:16:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-07T01:43:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-13T00:32:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-18T14:13:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-04-09T14:42:00	Naegi Makoto	1700	250000	25000000						3	0.073
2020-04-15T02:02:45	Oliver Kruse	Melissa	250000	25000000						3	0.073
2020-04-30T07:24:27	Greg	aws	250000	25000000						3	0.073
2020-05-04T11:09:18	Greg Hogan	azure2	250000	25000000						3	0.073
2020-05-15T02:00:51	kracker	O0	250000	25000000						3	0.073
2020-06-02T08:34:41	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.073
2020-06-18T06:13:53	nordi	sweet16	250000	25000000						3	0.073
2020-06-27T16:45:34	nordi	sweet16	250000	25000000						3	0.073
2020-07-10T10:52:52	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-07-23T02:12:41	kracker	O0	250000	25000000						3	0.073
2020-08-05T02:57:54	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.073
2020-09-16T03:48:18	MarkS	desktop-i7	250000	25000000						7	0.171
2020-10-23T21:40:45	Hazawa Tsugumi	Baidu_HK_1	250000	25000000						7	0.171
2020-11-07T20:22:06	nordi	sweet16	250000	25000000						7	0.171
2021-01-01T01:49:46	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						7	0.171
2021-01-27T17:57:55	Chang Chia-Tche	exbpc13	250000	25000000						7	0.171
2021-03-06T23:49:33	MarkS	desktop-i7	250000	25000000						11	0.268
2021-05-21T20:14:36	ZacHFX	5950X	250000	38500000						7	0.201
2021-07-17T19:56:31	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.171
2021-08-19T02:58:13	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.171
2021-09-23T06:10:25	Ahmed Azhad	c5.4xlarge.azf	250000	38500000						7	0.201
2021-11-04T00:38:16	Luminescence	Main	250000	33750000						7	0.190
2022-01-21T10:58:19	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.171
2022-03-19T04:45:39	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.171
2022-05-14T21:58:15	debrouxl	dl380g9-1	250000	36000000						7	0.195
2022-06-06T17:41:25	debrouxl	dl380g9-1	250000	36000000						7	0.195
2022-07-03T18:27:15	Luminescence	TyrantECM309b1	250000	551335785						7	1.354

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