M17 921 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	1,658.0502	77.6119%	400000000	400000000	0.1706	7.9997%	1,658.2208	79.4029%
Target	2⁴⁴	0.0001	65.9091%	500	10000	0.0000	1.5089%	0.0001	66.4235%
Difference	+23	+1,658.0501	+11.7028%	+399999500	+399990000	+0.1706	+6.4908%	+1,658.2207	+12.9794%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
17921	1433681	7	20.451	40 2³ × 5	-	8	8	7.862e-12	3.412e-9	6.945e-9
17921	33655639	8	25.004	939 3 × 313	2008-08-26	3	313	3.001e-10	8.484e-9	1.373e-8
17921	34945951	8	25.059	975 3 × 5² × 13	2008-08-26	25	25	3.021e-10	1.066e-8	2.170e-8
17921	555359460353	12	39.015	15494656 2⁹ × 53 × 571	2008-08-26	512	571	7.444e-6	2.198e-7	4.445e-7
17921	69216002352933895609	20	65.908	1931142301013724 2² × 3 × 232663 × 691680779	2008-10-16	232663	691680779	652.96	0.0162	0.0300
17921	26911328390944995598673	23	74.511	750832218931560616 2³ × 101 × 5022691 × 185009947	2008-10-16	5022691	185009947	341,767	0.0063	0.0080

exponent	prime factors	composite factor	digits	bits*
17921	1433681 33655639	48251450177159	14	45.456
17921	1433681 34945951	50101345975631	14	45.510
17921	33655639 34945951	1176128311367689	16	50.063
17921	1433681 555359460353	796208306478349393	18	59.466
17921	33655639 555359460353	18690977512875380567	20	64.019
17921	34945951 555359460353	19407564488882380703	20	64.073
17921	1433681 33655639 34945951	1686192813569939733209	22	70.514
17921	1433681 33655639 555359460353	26796899331636688486677127	26	84.470
17921	1433681 34945951 555359460353	27824256463985380448657743	26	84.525
17921	1433681 69216002352933895609	99233667469356620390606729	26	86.359
17921	33655639 34945951 555359460353	653173984307044918400734217	27	89.078
17921	33655639 69216002352933895609	2329508788213493781480189151	28	90.912
17921	34945951 69216002352933895609	2418819026641512622191229159	28	90.966
17921	1433681 26911328390944995598673	38582260198858412234901105313	29	94.962
17921	33655639 26911328390944995598673	905717953336095640725527367047	30	99.515
17921	34945951 26911328390944995598673	940441963294872659886442323023	30	99.569
17921	555359460353 69216002352933895609	38439761714517346511696276289977	32	104.922
17921	1433681 33655639 34945951 555359460353	936443130995308465657683032962777	33	109.529
17921	1433681 33655639 69216002352933895609	3339772488994709978126299062194831	34	111.363
17921	1433681 34945951 69216002352933895609	3467814880934430457695743611904279	34	111.418
17921	555359460353 26911328390944995598673	14945460812577580567384997442911569	35	113.525
17921	33655639 34945951 69216002352933895609	81406899966978131226411397541577601	35	115.971
17921	1433681 33655639 26911328390944995598673	1298510621056846934291014801115310007	37	119.966
17921	1433681 34945951 26911328390944995598673	1348293774378556329898654516113937663	37	120.021
17921	33655639 34945951 26911328390944995598673	31651175217103484792107883817983476697	38	124.574
17921	1433681 555359460353 69216002352933895609	55110356014630943864235229087690515337	38	125.374
17921	33655639 555359460353 69216002352933895609	1293714743509816873435559152459725230303	40	129.927
17921	34945951 555359460353 69216002352933895609	1343314029327199179847758998111998033127	40	129.981
17921	1433681 555359460353 26911328390944995598673	21427023203237038285429090518950901155489	41	133.977
17921	1433681 33655639 34945951 69216002352933895609	116711525751557174154812718838806516579281	42	136.422
17921	33655639 555359460353 26911328390944995598673	502999033796757711069324647954554875187591	42	138.530
17921	34945951 555359460353 26911328390944995598673	522283341228756314206388318775112987607119	42	138.584
17921	69216002352933895609 26911328390944995598673	1862694569228225562277040582829021040926857	43	140.418
17921	1433681 33655639 34945951 26911328390944995598673	45377688536432141180234022980050368854431657	44	145.025
17921	1433681 33655639 555359460353 69216002352933895609	1854774247189897764923965881257611327906035343	46	150.378
17921	1433681 34945951 555359460353 69216002352933895609	1925883800879848247363314968172207452131550487	46	150.432
17921	33655639 34945951 555359460353 69216002352933895609	45210092034671628478052251799459087371632353153	47	154.985
17921	1433681 33655639 555359460353 26911328390944995598673	721140157772769391963580430604134188013820652471	48	158.981
17921	1433681 34945951 555359460353 26911328390944995598673	748787702936184581307729011249822763185561975039	48	159.035
17921	1433681 69216002352933895609 26911328390944995598673	2670509812705691652350909819830893714977057270617	49	160.870
17921	33655639 34945951 555359460353 26911328390944995598673	17577779588108838929900776750512124895116670894041	50	163.588
17921	33655639 69216002352933895609 26911328390944995598673	62690175989205668134568095844043130876838524596623	50	165.423
17921	34945951 69216002352933895609 26911328390944995598673	65093633144215678316280908632554410674198939306007	50	165.477
17921	1433681 33655639 34945951 555359460353 69216002352933895609	64816849958360054988042430412100303842049243700746 193	53	175.437
17921	555359460353 69216002352933895609 26911328390944995598673	10344650507690511479619372519618057233564216304644 00521	55	179.433
17921	1433681 33655639 34945951 555359460353 26911328390944995598673	25200928617659468305859075512450973731755763844039 594921	56	184.040
17921	1433681 33655639 69216002352933895609 26911328390944995598673	89877714202380371496835722217783599918636732782211 059263	56	185.874
17921	1433681 34945951 69216002352933895609 26911328390944995598673	93323505059832277904163929369229240049796209503175 421767	56	185.928
17921	33655639 34945951 69216002352933895609 26911328390944995598673	21907678183001578075528780835292348935085861154658 82123473	58	190.481
17921	1433681 555359460353 69216002352933895609 26911328390944995598673	14830928884516240188612181613298535912673579195858 32203347801	61	199.884
17921	33655639 555359460353 69216002352933895609 26911328390944995598673	34815582306799857808342545892678575213417594726701 266286187919	62	204.437
17921	34945951 555359460353 69216002352933895609 26911328390944995598673	36150364975387773733171609072131916679933065833549 047851240471	62	204.492
17921	1433681 33655639 34945951 69216002352933895609 26911328390944995598673	31408621965083885456902178036722770113602832506072 41348662894113	64	210.933
17921	1433681 33655639 555359460353 69216002352933895609 26911328390944995598673	49914438857195126942522349537961312390547750625371 798150448181899839	68	224.889
17921	1433681 34945951 555359460353 69216002352933895609 26911328390944995598673	51828091408278918833547205666143158437603117757308 432472414289703751	68	224.943
17921	33655639 34945951 555359460353 69216002352933895609 26911328390944995598673	12166636333298947977773059999807967481579058078571 60843275074994165969	70	229.496
17921	1433681 33655639 34945951 555359460353 69216002352933895609 26911328390944995598673	17443075344960369035721658433584686626957745565144 62214947452792710860601889	76	249.947

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-08-27	Seth_Tr	Manual testing	400000000	400000000		-	skipped known factor: 1433681 skipped known factor: 33655639 skipped known factor: 34945951 skipped known factor: 555359460353 skipped known factor: 26911328390944995598673	-	-	0.171	-	-	8.000%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-08-26	ANONYMOUS	Manual testing	?	?	33655639	25.004	8	5.06961e-11	0.000	1.36316e-9
2008-08-26	ANONYMOUS	Manual testing	?	?	34945951	25.059	8	5.26398e-11	0.000	1.41542e-9
2008-08-26	ANONYMOUS	Manual testing	?	?	555359460353	39.015	12	3.35781e-6	0.000	8.50815e-5

ECM factoring results:

Total ECM effort:	46.010 GHz-days
Estimated T-Level:	37.663

Digits	B1	Complete	FacMiss
20	11000	681.903	0.000%
25	50000	159.133	0.000%
30	250000	29.010	0.000%
35	1000000	4.307	1.347%
40	3000000	0.533	58.711%
45	11000000	0.057	94.432%
50	44000000	0.005	99.464%

ECM Summary

B1	B2	factor	curves	GHz-days
		69216002352933895609	1	0.00000e+0
		26911328390944995598673	1	0.00000e+0
50000	5000000		68	0.021
250000	25000000		467	0.717
1000000	100000000		1,451	8.906
3000000	300000000		1,975	36.37

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-10-16	ANONYMOUS	Manual testing			69216002352933895609	65.908		1		1	-
2008-10-16	ANONYMOUS	Manual testing			26911328390944995598673	74.511		1		1	-
2009-04-06	Matthias Wurtinger	WUR_E6600	50000	5000000						50	0.015
2009-05-31	Matthias Wurtinger	WUR_E6600	1000000	100000000						30	0.184
2009-06-30	Rob_Dee	twopc	50000	5000000						4	0.001
2009-06-30	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-01	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-01	Rob_Dee	twopc	50000	5000000						6	0.002
2009-07-03	Rob_Dee	twopc	250000	25000000						6	0.009
2011-04-05	James Hintz	17_051310	250000	25000000						11	0.017
2014-09-03	James Hintz	08_04_2014	1000000	100000000						11	0.068
2014-09-03	James Hintz	08_04_2014	250000	25000000						450	0.691
2017-10-03	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-03	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-04	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-04	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-04	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-06	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-07	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-07	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-07	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-08	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-08	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-08	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-09	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-09	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-10	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-10	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-10	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-11	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-11	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-11-18	James Hintz	10_12_2017	1000000	100000000						1332	8.176
2019-08-24	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-08-27	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-08-31	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-09-03	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-09-06	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-09-10	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-16	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-09-20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-23	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-27	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-09-30	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-03	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-06	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-10	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-16	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-10-20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-23	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-27	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-30	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-11-02	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-11-05	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-11-09	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-11-14	Lin_yq		3000000	300000000						3	0.055
2020-08-27	James Hintz	work_lappy_5_16_2019	3000000	300000000						100	1.841
2021-10-26	nordi	sweet16	3000000	300000000						1800	33.14

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