M16883 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	1,759.9904	77.6119%	100000000	100000000	0.0427	5.9519%	1,760.0330	78.9445%	1.3325%
PrimeNet	2⁴⁰	0.0000	62.5000%	500	10000	0.0000	3.5361%	0.0000	63.8260%	1.3260%
GPU72	2⁴⁴	0.0001	65.9091%	500	10000	0.0000	1.4821%	0.0001	66.4143%	0.5053%
Difference	+23	+1,759.9902	+11.7028%	+99999500	+99990000	+0.0427	+4.4698%	+1,760.0329	+12.5301%	+12.5301%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
16883	33767	5	15.043	1 1	-	1	1	2.586e-13	4.265e-10	8.681e-10
16883	12054463	8	23.523	357 3 × 7 × 17	2008-08-26	7	17	7.131e-11	3.218e-9	6.077e-9
16883	123014863177782481	18	56.772	3643157708280 2³ × 3² × 5 × 41 × 379 × 651257	2008-08-26	379	651257	0.8640	1.529e-5	2.827e-5
16883	322960136514206071730808578201	30	98.027	9564654875146776986637700 2² × 5² × 7 × 2069 × 734443 × 8991925028633	2011-04-05	734443	8991925028633	6.106e+12	208.97	390.29
16883	37003386293479696326742221809721581623	38	124.799	1095877103994541738042475324578617 3 × 365292367998180579347491774859539	2021-12-20	3	365292367998180579347491774859539	9.429e+12	8.489e+21	1.586e+22

exponent	prime factors	composite factor	digits	bits*
16883	33767 12054463	407043052121	12	38.566
16883	33767 123014863177782481	4153842884924181035927	22	71.815
16883	12054463 123014863177782481	1482878116626641339262703	25	80.295
16883	33767 12054463 123014863177782481	50072345364131798102883692201	29	95.338
16883	33767 322960136514206071730808578201	10905394929675196424134213260113167	35	113.071
16883	12054463 322960136514206071730808578201	3893111016085446066054377966006561063	37	121.550
16883	33767 12054463 322960136514206071730808578201	131458679680157257312458180778143547414321	42	136.594
16883	33767 37003386293479696326742221809721581623	1249493344971928905865104603848868646663841	43	139.842
16883	12054463 37003386293479696326742221809721581623	446055950949458140621950023343081845975933449	45	148.322
16883	123014863177782481 322960136514206071730808578201	39728897005173011801327837304187914631656296681	47	154.799
16883	33767 12054463 37003386293479696326742221809721581623	15061971295710353034381386438225844693069344772383	50	163.365
16883	33767 123014863177782481 322960136514206071730808578201	13415256651736770894954370822505133133671381700273 27	52	169.842
16883	12054463 123014863177782481 322960136514206071730808578201	47891051897966887935766976565335296197445945705813 7303	54	178.322
16883	123014863177782481 37003386293479696326742221809721581623	45519665020070364575720121883333312722812753491809 46663	55	181.571
16883	33767 12054463 123014863177782481 322960136514206071730808578201	16171371494386479049270434976816769466991572486482 122310401	59	193.365
16883	33767 123014863177782481 37003386293479696326742221809721581623	15370625287327160006283413556345159707112182471579 3025969521	60	196.614
16883	12054463 123014863177782481 37003386293479696326742221809721581623	54871511775683246717452890759813173488457559289513 801854106969	62	205.094
16883	33767 12054463 123014863177782481 37003386293479696326742221809721581623	18528463381294961919082317622866114291847464045290 12547207630022223	67	220.137
16883	322960136514206071730808578201 37003386293479696326742221809721581623	11950618688830104545631208084817366419094350273267 035458569600000223	68	222.826
16883	33767 322960136514206071730808578201 37003386293479696326742221809721581623	40353654126572614019232900340002801187355892567740 7986329519683207530041	72	237.870
16883	12054463 322960136514206071730808578201 37003386293479696326742221809721581623	14405829081161100853144320950373180525641533887813 7368055015276127488145249	75	246.349
16883	33767 12054463 322960136514206071730808578201 37003386293479696326742221809721581623	48644163058356689250812428553125118680933767478980 64507113700828996892200622983	79	261.393
16883	123014863177782481 322960136514206071730808578201 37003386293479696326742221809721581623	14701037228962855809416832846899945944117819168126 36294016523059331708513666245493263	85	279.598
16883	33767 123014863177782481 322960136514206071730808578201 37003386293479696326742221809721581623	49640992411038875211657819474127047469502639985012 289740055934144453801380968111571011721	89	294.641
16883	12054463 123014863177782481 322960136514206071730808578201 37003386293479696326742221809721581623	17721310933815527372895026313014006308536831880287 002138679298607360885004774750647455582769	92	303.121
16883	33767 12054463 123014863177782481 322960136514206071730808578201 37003386293479696326742221809721581623	59839550630214891280054635351154395102036320210165 1201216783876074755003956229005112632663360823	96	318.164

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-12-16T20:05:14	Lisander Viaene	Desktop	100000000	100000000		-	skipped known factor: 33767 skipped known factor: 12054463 skipped known factor: 123014863177782481	-	-	0.043	-	-	5.952%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-08-26T19:58:00	ANONYMOUS	Manual testing	?	?	12054463	23.523	8	5.11482e-12	1.90426e-5	1.96116e-11

ECM factoring results:

Old Calculation Method

Total ECM effort:	22.814 GHz-days
Estimated T-Level:	35.728

Digits	B1	Curves	Complete	FacMiss
20	11000	2757 / 100	27.570	0.000%
25	50000	2757 / 280	9.846	0.005%
30	250000	2689 / 640	4.202	1.492%
35	1000000	2231 / 1580	1.412	24.354%
40	3000000	684 / 4700	0.146	86.455%

New Calculation Method

Total ECM effort:	22.814 GHz-days
Estimated T-Level:	35.728

Digits	B1	Complete	FacMiss
20	11000	398.160	0.000%
25	50000	82.488	0.000%
30	250000	13.817	0.000%
35	1000000	1.882	15.227%
40	3000000	0.215	80.658%
45	11000000	0.021	97.879%
50	44000000	0.002	99.810%

ECM Summary

B1	B2	factor	curves	GHz-days
		123014863177782481	1	0.00000e+0
		322960136514206071730808578201	1	0.00000e+0
50000	5000000		68	0.021
250000	25000000		458	0.703
1000000	100000000		1,547	9.495
3000000	300000000		599	11.03
3000000	300000000	37003386293479696326742221809721581623	85	1.565

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-26T19:58:00	ANONYMOUS	Manual testing			123014863177782481	56.772		1		1	-
2009-04-06T12:40:00	Matthias Wurtinger	WUR_E6600	50000	5000000						50	0.015
2009-05-31T18:07:00	Matthias Wurtinger	WUR_E6600	1000000	100000000						30	0.184
2009-07-01T23:40:00	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-02T18:31:00	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-02T23:16:00	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-04T01:00:00	Rob_Dee	twopc	50000	5000000						6	0.002
2009-07-04T16:05:00	Rob_Dee	twopc	250000	25000000						6	0.009
2011-04-05T23:41:00	James Hintz	17_051310			322960136514206071730808578201	98.027		1		1	-
2014-08-26T03:11:00	James Hintz	08_04_2014	250000	25000000						452	0.694
2014-08-26T03:36:00	James Hintz	08_04_2014	1000000	100000000						11	0.068
2017-10-02T17:48:13	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-02T18:22:55	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-02T18:40:44	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-02T18:54:17	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-03T04:13:05	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-03T05:40:40	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-04T21:11:31	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-04T21:17:36	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-04T21:56:43	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05T01:26:02	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05T02:01:25	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05T02:03:53	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05T05:04:35	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05T07:25:44	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05T08:03:05	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05T09:35:58	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05T17:33:04	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-06T17:01:22	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-07T03:21:08	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-07T10:11:39	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-07T20:26:47	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-08T04:54:04	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-08T11:55:16	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-08T21:21:59	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-09T06:12:10	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-09T15:57:06	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-10T02:45:49	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-10T12:02:32	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-10T18:31:10	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-11T05:15:54	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-11T15:53:52	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-12T01:45:31	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-30T17:21:36	kkmrkkblmbrbk	c4.large	1000000	100000000						1410	8.654
2019-08-20T12:54:29	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-08-23T13:54:44	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-08-26T16:29:17	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-08-29T19:16:12	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-01T21:52:43	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-05T00:17:38	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-08T04:23:10	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-11T07:12:29	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-14T11:01:28	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-17T12:53:11	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-20T18:25:35	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-23T21:34:38	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-27T01:53:20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-30T03:05:01	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-03T07:25:30	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-06T11:55:58	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-10-09T14:43:24	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-10-12T17:34:35	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-15T20:06:56	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-19T00:22:22	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-10-22T05:17:43	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-10-25T06:21:13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-28T09:32:09	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-31T11:22:35	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-11-03T13:16:18	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-11-06T14:32:55	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-11-09T16:51:16	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-11-12T17:58:20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2021-12-20T08:49:10	nordi	sweet16_ccx1	3000000	300000000	37003386293479696326742221809721581623	124.799	85	2	8502019264483342	85	1.565
2021-12-22T09:18:52	nordi	sweet16_ccx0	3000000	300000000						515	9.483

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