M17 747 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	1,674.3065	77.6119%	400000000	400000000	0.1706	7.9933%	1,674.4771	79.4015%
Target	2⁴⁴	0.0001	65.9091%	500	10000	0.0000	1.5045%	0.0001	66.4220%
Difference	+23	+1,674.3064	+11.7028%	+399999500	+399990000	+0.1706	+6.4888%	+1,674.4770	+12.9795%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
17747	1739207	7	20.730	49 7²	-	49	49	7.955e-12	2.090e-8	4.254e-8
17747	5111137	7	22.285	144 2⁴ × 3²	2008-08-26	9	9	3.247e-11	3.839e-9	7.813e-9
17747	33115903	8	24.981	933 3 × 311	2008-08-26	3	311	1.514e-10	8.437e-9	1.368e-8
17747	83916729580278408869371847	26	86.117	2364251129212779874609 17 × 47 × 509087 × 5812390961393	2014-09-04	509087	5812390961393	1.443e+9	135.08	252.28
17747	972665501089592216365075512870217	33	109.584	27403659804180769041671141964 2² × 3 × 11 × 79 × 15559 × 827063 × 204214827442589	2017-11-17	827063	204214827442589	1.002e+13	4,745.8	8,863.8

exponent	prime factors	composite factor	digits	bits*
17747	1739207 5111137	8889325248359	13	43.015
17747	1739207 33115903	57595410308921	14	45.711
17747	5111137 33115903	169259917111711	15	47.266
17747	1739207 5111137 33115903	294378032660107553177	21	67.996
17747	1739207 83916729580278408869371847	145948563503127270654473601905329	33	106.847
17747	5111137 83916729580278408869371847	428909901476755445873374613960039	33	108.402
17747	33115903 83916729580278408869371847	2778978276857730501112457756182841	34	111.098
17747	1739207 5111137 83916729580278408869371847	745963103017683408751094242221597549073	39	129.132
17747	1739207 972665501089592216365075512870217	1691666648153526409847653887512471497919	40	130.314
17747	1739207 33115903 83916729580278408869371847	4833218471958902891648294316757490347087	40	131.828
17747	5111137 972665501089592216365075512870217	4971426631242555091975542961624942306729	40	131.869
17747	5111137 33115903 83916729580278408869371847	14203738693043790100264423998563097400217	41	133.383
17747	33115903 972665501089592216365075512870217	32210696385529330146700853271885357760951	41	134.565
17747	1739207 5111137 972665501089592216365075512870217	8646339997043470513849508147658831034459223903	46	152.599
17747	1739207 5111137 33115903 83916729580278408869371847	24703241761112611048910588069268928940139207919	47	154.113
17747	1739207 33115903 972665501089592216365075512870217	56021068628587309696453150916435917415350305857	47	155.295
17747	5111137 33115903 972665501089592216365075512870217	164633282091845223898018159089504311810233811287	48	156.850
17747	1739207 5111137 33115903 972665501089592216365075512870217	28633135664711185632000046841557952563054131622702 9409	54	177.580
17747	83916729580278408869371847 972665501089592216365075512870217	81622907827001304075616246755022875186435356292988 824580799	59	195.701
17747	1739207 83916729580278408869371847 972665501089592216365075512870217	14195913265307545705744030567006306968437467671226 0214632697686393	66	216.431
17747	5111137 83916729580278408869371847 972665501089592216365075512870217	41718586424217596430913299659072735321177164765727 8021901431258463	66	217.986
17747	33115903 83916729580278408869371847 972665501089592216365075512870217	27030162981769159666416122927634022974551001747690 57494901755346497	67	220.682
17747	1739207 5111137 83916729580278408869371847 972665501089592216365075512870217	72557257539104213235819427160156914779738573200707 1536637122554737658841	72	238.716
17747	1739207 33115903 83916729580278408869371847 972665501089592216365075512870217	47011048669033794875948585908601586195499924096595 68178535597210915007879	73	241.412
17747	5111137 33115903 83916729580278408869371847 972665501089592216365075512870217	13815486613215067742992710329197857728407768341968 596217319673116428637089	74	242.967
17747	1739207 5111137 33115903 83916729580278408869371847 972665501089592216365075512870217	24027991026109938324087122753513218546250889554730 176321335896721804500625648423	80	263.697

	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: 1739207 skipped known factor: 5111137 skipped known factor: 33115903	-	-	0.171	-	-	7.993%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-08-26	ANONYMOUS	Manual testing	?	?	33115903	24.981	8	2.54330e-11	0.000	6.96316e-10
2008-08-26	ANONYMOUS	Manual testing	?	?	5111137	22.285	7	9.81339e-13	0.000	2.68675e-11

ECM factoring results:

Total ECM effort:	22.183 GHz-days
Estimated T-Level:	36.243

Digits	B1	Complete	FacMiss
20	11000	423.103	0.000%
25	50000	91.028	0.000%
30	250000	15.389	0.000%
35	1000000	2.136	11.811%
40	3000000	0.249	77.986%
45	11000000	0.025	97.510%
50	44000000	0.002	99.775%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		68	0.021
250000	25000000		334	0.513
250000	25000000	83916729580278408869371847	133	0.204
1000000	100000000		1,062	6.518
1000000	100000000	972665501089592216365075512870217	389	2.388
3000000	300000000		681	12.54

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
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
2009-06-30	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
2014-09-04	James Hintz	08_04_2014	250000	25000000	83916729580278408869371847	86.117	133	2		133	0.204
2014-09-04	James Hintz	08_04_2014	250000	25000000						317	0.486
2017-10-02	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
2017-10-04	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
2017-10-09	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
2017-10-11	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
2017-11-17	James Hintz	10_12_2017	1000000	100000000	972665501089592216365075512870217	109.584	389	2		389	2.388
2017-11-19	James Hintz	10_12_2017	1000000	100000000						840	5.156
2017-11-21	kkmrkkblmbrbk	c4.large	1000000	100000000						100	0.614
2019-08-18	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-08-21	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-08-24	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-08-28	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-08-31	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-03	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-06	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-10	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-13	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-09-16	Niels_Mache_Nextcloud	SuperDry-Y	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
2019-09-26	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-30	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-10-03	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-06	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-10-10	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-10-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-16	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-23	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-10-26	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
2019-11-08	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-11-11	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2020-09-04	James Hintz	work_lappy_5_16_2019	3000000	300000000						100	1.841
2022-03-01	nordi	sweet16_ccx3	3000000	300000000						500	9.207

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