M202817 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	146.5060	73.1343%	30000000	10264076402580	3,739.1646	23.1668%	3,885.6706	79.3582%	6.2239%
PrimeNet	2⁴⁰	0.0000	55.0000%	2200	50000	0.0000	12.6714%	0.0000	60.7021%	5.7021%
GPU72	2⁴⁴	0.0000	59.0909%	3600	80000	0.0001	8.8860%	0.0001	62.7261%	3.6352%
Difference	+23	+146.5060	+14.0434%	+29996400	+10264076322580	+3,739.1645	+14.2808%	+3,885.6706	+16.6321%	+2.5887%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
202817	114794423	9	26.774	283 283	-	1	283	4.678e-11	1.094e-7	1.916e-7
202817	1003216848239	13	39.868	2473207 11 × 29 × 7753	2008-07-21	29	7753	4.789e-7	3.008e-6	5.277e-6
202817	133393569502038443167	21	66.854	328852042733199 3 × 4397 × 24930031289	2014-07-28	4397	24930031289	124.16	9.0815	16.962
202817	180766475171163948119847073946806240447	39	127.087	445639357576445633551051129705119 3 × 31 × 3491 × 11173 × 73589 × 13109843 × 127341673003	2022-02-05	13109843	127341673003	7.055e+11	46.471	86.639

exponent	prime factors	composite factor	digits	bits*
202817	114794423 1003216848239	115163699237474571097	21	66.642
202817	114794423 133393569502038443167	15312837842896900407174057641	29	93.629
202817	1003216848239 133393569502038443167	133822676371184999639812065532913	33	106.722
202817	114794423 1003216848239 133393569502038443167	15362096918345915859907433891288935344199	41	133.496
202817	114794423 180766475171163948119847073946806240447	20750983215017591662819779701961955064912627081	47	153.862
202817	1003216848239 180766475171163948119847073946806240447	18134797348848854408993669136758132688125614252283 3	51	166.955
202817	114794423 1003216848239 180766475171163948119847073946806240447	20817735978830339560914342592070579324908188396114 378560359	59	193.730
202817	133393569502038443167 180766475171163948119847073946806240447	24113085369383164695554549293376582303072416468812 146175649	59	193.942
202817	114794423 133393569502038443167 180766475171163948119847073946806240447	27680477217280822571401551511582224871932091757529 87815625283605527	67	220.716
202817	1003216848239 133393569502038443167 180766475171163948119847073946806240447	24190653505590521593421690916399419456217893536019 319126495947070332111	71	233.809
202817	114794423 1003216848239 133393569502038443167 180766475171163948119847073946806240447	27769521111671912005858836044324125940115068507427 67455978966255777315100616953	79	260.584

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-05-03T11:08:37	Oliver Kruse	Ollaptop	30000000	3000000000		-	skipped known factor: 114794423 skipped known factor: 1003216848239	-	-	1.282	-	-	12.372%
2022-02-05T18:36:55	Oliver Kruse	Threadripper-PC	30000000	10264076402580			180766475171163948119847073946806240447	39	127.087	3,739	0.002	7,478	23.167%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-07-21T09:13:00	J Feitsma	Manual testing	?	?	1003216848239	39.868	13	1.17788e-7	0.002	2.44266e-7

ECM factoring results:

Total ECM effort:	12.354 GHz-days
Estimated T-Level:	28.790

Digits	B1	Complete	FacMiss
20	11000	51.499	0.000%
25	50000	7.287	0.068%
30	250000	0.758	46.864%
35	1000000	0.062	94.002%
40	3000000	0.004	99.589%

ECM Summary

B1	B2	factor	curves	GHz-days
		133393569502038443167	1	0.00000e+0
50000	5000000		281	1.372
250000	25000000		386	9.423
250000	31250000		14	0.370
250000	36000000		21	0.587
250000	37250000		7	0.199
250000	38500000		14	0.403

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-07-28T13:25:00	TJAOI	Manual testing	50000	5000000						50	0.244
2014-07-28T13:45:00	TJAOI	Manual testing			133393569502038443167	66.854		1		1	-
2014-12-12T13:36:00	TJAOI	Manual testing	50000	5000000						50	0.244
2015-07-24T08:17:00	TJAOI	Manual testing	50000	5000000						90	0.439
2016-03-04T13:11:07	TJAOI	Manual testing	50000	5000000						91	0.444
2018-02-09T12:19:08	TJAOI	Manual testing	250000	25000000						44	1.074
2019-05-10T12:34:59	TJAOI	Manual testing	250000	25000000						100	2.441
2019-12-09T04:36:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-11T03:58:29	Ducho_YYZ	Dutch	250000	25000000						3	0.073
2019-12-11T09:32:14	Ducho_YYZ	oracleSW	250000	25000000						3	0.073
2019-12-12T09:31:34	Ducho_YYZ	oracleSW	250000	25000000						3	0.073
2019-12-13T05:38:00	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-14T11:56:54	Ducho_YYZ	oracleDE2	250000	25000000						3	0.073
2019-12-15T13:48:23	Ducho_YYZ	oracleSW	250000	25000000						3	0.073
2019-12-16T10:59:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-17T14:05:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-18T23:49:48	Ducho_YYZ	oracleDE	250000	25000000						3	0.073
2019-12-20T00:09:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-21T12:05:06	Ducho_YYZ	oracleAU	250000	25000000						3	0.073
2019-12-22T20:26:04	Ducho_YYZ	oracleKO	250000	25000000						3	0.073
2019-12-24T00:00:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-25T14:21:27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-27T14:04:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-29T11:36:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-31T09:55:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-02T10:20:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-04T13:22:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-06T16:07:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-08T21:48:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-11T01:03:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-13T07:09:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-15T11:25:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-17T16:07:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-20T00:58:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-22T09:21:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-24T15:52:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-27T04:00:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-29T18:37:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-01T14:12:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-04T16:18:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-07T20:35:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-11T06:56:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-14T21:29:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-04-22T06:35:01	kracker	O0	250000	25000000						3	0.073
2020-04-23T07:34:25	kracker	O0	250000	25000000						3	0.073
2020-04-24T06:44:08	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.073
2020-04-24T18:49:23	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-04-25T08:14:46	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-04-25T19:21:36	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-04-26T05:43:48	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-26T19:44:27	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2020-04-27T03:06:38	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-27T11:07:30	Greg	azure	250000	25000000						3	0.073
2020-05-01T23:06:54	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-05-06T22:02:12	Greg Hogan	azure3	250000	25000000						3	0.073
2020-05-23T08:05:09	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2020-06-08T13:28:17	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-06-22T02:31:01	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-06-30T12:12:38	argusdusty	Argus-PC	250000	25000000						3	0.073
2020-07-13T17:35:17	argusdusty	Manual testing	250000	25000000						3	0.073
2020-07-25T07:57:01	Ahmed Azhad	c5.4xlarge.azf	250000	25000000						3	0.073
2020-08-14T02:14:58	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.073
2020-09-27T13:40:42	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						7	0.171
2020-10-29T03:55:41	Ahmed Azhad	c5.large.az	250000	25000000						7	0.171
2020-11-15T05:15:53	MarkS	desktop-i7	250000	25000000						7	0.171
2021-01-11T14:53:54	ZacHFX	Ryzen	250000	25000000						7	0.171
2021-02-04T14:29:40	Kublenz	Medion_E4272	250000	25000000						7	0.171
2021-03-19T04:12:53	Ducho_YYZ	oracle1	250000	37250000						7	0.199
2021-05-10T18:39:46	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2021-07-02T21:54:38	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2021-08-07T09:04:49	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.171
2021-09-10T20:40:05	Dylan Delgado	colab	250000	38500000						7	0.201
2021-10-20T08:19:43	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2021-12-13T19:02:34	Dylan Delgado	colab	250000	38500000						7	0.201
2022-03-01T13:10:33	Corey	tab	250000	25000000						7	0.171
2022-04-25T16:28:22	debrouxl	z400	250000	36000000						7	0.196
2022-05-30T18:08:24	debrouxl	dl380g9-1	250000	36000000						7	0.196
2022-06-27T09:36:25	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.171
2022-07-28T14:46:50	Corey	HP	250000	31250000						7	0.185
2022-08-21T08:45:27	debrouxl	dl380g9-1	250000	36000000						7	0.196
2022-09-20T05:05:05	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