M16067 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	50000	50000	0.0000	10.3293%	0.0000	10.3293%	10.3293%
PrimeNet	2⁴⁰	0.0000	65.0000%	500	10000	0.0000	3.4903%	0.0000	66.2216%	1.2216%
GPU72	2⁴⁴	0.0001	68.1818%	500	10000	0.0000	1.4601%	0.0001	68.6464%	0.4646%
Difference	-44	-0.0001	-68.1818%	+49500	+40000	+0.0000	+8.8691%	-0.0001	-58.3171%	-58.3171%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
16067	604843995194937757361	21	69.035	18822555399108040 2³ × 5 × 31² × 489660650341	2014-04-23	961	489660650341	8,364.8	9.2195	17.219
16067	9939243891184095641743	22	73.074	309306152087636013 3² × 6131 × 452201 × 12396047	2008-08-29	452201	12396047	164,747	0.0004	0.0004
16067	19533921814064639497310826385256807	35	113.912	607889519327336761601755971409 607889519327336761601755971409	2022-01-19	1	607889519327336761601755971409	1.115e+13	1.145e+19	2.138e+19

exponent	prime factors	composite factor	digits	bits*
16067	604843995194937757361 9939243891184095641743	6011691984360667602425371606477314517120223	43	142.109
16067	604843995194937757361 19533921814064639497310826385256807	11814975311844402652687149639106851132711553150639 606327	56	182.947
16067	9939243891184095641743 19533921814064639497310826385256807	19415241306130971587488175860936671294705154583852 4094601	57	186.985
16067	604843995194937757361 9939243891184095641743 19533921814064639497310826385256807	11743192119274038447047664364000455717327058152624 1009765256950234681948107961	78	256.020

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2022-02-06T16:47:06	Lisander Viaene	Manual testing	50000	50000		-		-	-	1.72792e-5	-	-	6.374%

ECM factoring results:

Old Calculation Method

Total ECM effort:	20.494 GHz-days
Estimated T-Level:	35.904

Digits	B1	Curves	Complete	FacMiss
20	11000	2836 / 100	28.360	0.000%
25	50000	2836 / 280	10.129	0.004%
30	250000	2768 / 640	4.325	1.319%
35	1000000	2301 / 1580	1.456	23.298%
40	3000000	850 / 4700	0.181	83.454%

New Calculation Method

Total ECM effort:	20.494 GHz-days
Estimated T-Level:	35.904

Digits	B1	Complete	FacMiss
20	11000	418.396	0.000%
25	50000	87.758	0.000%
30	250000	14.939	0.000%
35	1000000	2.071	12.605%
40	3000000	0.241	78.598%
45	11000000	0.024	97.587%
50	44000000	0.002	99.780%

ECM Summary

B1	B2	factor	curves	GHz-days
		9939243891184095641743	1	0.00000e+0
50000	5000000		68	0.017
250000	25000000		467	0.581
1000000	100000000		1,451	7.216
3000000	300000000		780	11.64
3000000	300000000	19533921814064639497310826385256807	70	1.044

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-29T02:24:00	ANONYMOUS	Manual testing			9939243891184095641743	73.074		1		1	-
2009-04-06T12:39:00	Matthias Wurtinger	WUR_E6600	50000	5000000						50	0.012
2009-05-31T18:04:00	Matthias Wurtinger	WUR_E6600	1000000	100000000						30	0.149
2009-07-01T22:41:00	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-02T17:31:00	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-02T22:18:00	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-03T23:40:00	Rob_Dee	twopc	50000	5000000						6	0.001
2009-07-04T10:40:00	Rob_Dee	twopc	250000	25000000						6	0.007
2011-04-06T21:19:00	James Hintz	17_051310	250000	25000000						11	0.014
2014-08-20T14:52:00	James Hintz	08_04_2014	250000	25000000						450	0.559
2014-08-20T15:05:00	James Hintz	08_04_2014	1000000	100000000						11	0.055
2017-09-04T20:32:34	kkmrkkblmbrbk	c4.large	1000000	100000000						1410	7.012
2019-05-17T19:13:38	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-22T05:19:37	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-26T17:42:21	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-31T08:56:13	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-04T21:16:12	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-09T10:32:36	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-13T23:56:53	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-18T11:30:30	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-22T23:44:14	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-27T14:28:58	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-07-08T05:22:32	Niels_Mache_Nextcloud		3000000	300000000						3	0.045
2019-07-21T18:53:26	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-07-24T18:34:17	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-07-27T16:04:09	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-07-30T15:04:20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-02T14:42:39	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-08-05T12:32:09	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-08T11:36:38	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-11T08:14:11	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-14T05:22:57	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-08-17T04:56:35	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-20T02:28:19	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-23T01:41:18	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-25T23:33:14	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-28T22:03:07	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-31T21:25:29	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-03T18:59:25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-06T19:00:59	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-09T17:45:11	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-12T17:12:24	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-15T16:30:09	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-18T14:39:42	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-21T16:22:19	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-24T15:26:50	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-27T15:36:05	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-09-30T13:53:13	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-10-03T13:17:25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-06T12:33:28	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-09T11:19:12	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-10-12T11:18:16	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-15T10:17:26	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-18T09:15:25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-21T08:34:24	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-24T08:07:33	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-27T07:06:55	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-30T06:21:54	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-02T03:33:11	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-05T00:14:37	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-07T21:58:06	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-10T19:24:44	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2022-01-19T06:40:39	nordi	sweet16_ccx3	3000000	300000000	19533921814064639497310826385256807	113.912	70	2	6222423332682596	70	1.044
2022-01-22T07:52:21	nordi	sweet16_ccx3	3000000	300000000						630	9.399

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