M17 497 Mersenne number exponent details

is 2 ¹⁷⁴⁹⁷ - 1

has 5268 decimal digits

takes 0.000 GHz-days to do one PRP test

Exponent is not assigned to anyone

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	1,698.2293	77.6119%	400000000	400000000	0.1706	7.9840%	1,698.3999	79.3994%
Target	2⁴⁴	0.0001	65.9091%	500	10000	0.0000	1.4981%	0.0001	66.4198%
Difference	+23	+1,698.2291	+11.7028%	+399999500	+399990000	+0.1706	+6.4859%	+1,698.3998	+12.9796%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
17497	419929	6	18.680	12 2² × 3	-	4	4	2.001e-12	1.706e-9	3.472e-9
17497	75866993	8	26.177	2168 2³ × 271	2008-08-26	8	271	7.507e-10	9.524e-9	1.194e-8
17497	7981648027879	13	42.860	228086187 3 × 7 × 103 × 105449	2008-08-26	103	105449	4.368e-5	2.492e-6	4.577e-6
17497	211498178440207889	18	57.553	6043841185352 2³ × 67 × 3019 × 3734953	2008-08-26	3019	3734953	1.9314	8.801e-5	0.0002
17497	614042354446348876241	21	69.057	17547075339953960 2³ × 5 × 438676883498849	2008-10-16	8	438676883498849	8,805.3	10,194	19,040

exponent	prime factors	composite factor	digits	bits*
17497	419929 75866993	31858750503497	14	44.857
17497	419929 7981648027879	3351725474699200591	19	61.540
17497	75866993 7981648027879	605543635059559897847	21	69.037
17497	419929 211498178440207889	88814218574218058619881	23	76.233
17497	75866993 211498178440207889	16045730823236002833307777	26	83.730
17497	419929 75866993 7981648027879	254285333126925928342992863	27	87.717
17497	419929 614042354446348876241	257854191860300837251006889	27	87.737
17497	75866993 614042354446348876241	46585547006484669069333813313	29	95.234
17497	7981648027879 211498178440207889	1688104018847286133555627737431	31	100.413
17497	419929 75866993 211498178440207889	6738067698870671433788101487833	31	102.410
17497	7981648027879 614042354446348876241	4901069947400878414960985488722839	34	111.917
17497	419929 75866993 614042354446348876241	19562622168886100597616278890714777	35	113.914
17497	419929 7981648027879 211498178440207889	708883832530522018777881200151662399	36	119.093
17497	75866993 7981648027879 211498178440207889	128071375781158925163461874666283514983	39	126.590
17497	211498178440207889 614042354446348876241	129868839450539274684735991465572865249	39	126.610
17497	419929 7981648027879 614042354446348876241	2058101401942103471916151675293893058431	40	130.597
17497	75866993 7981648027879 614042354446348876241	371829439391972810901696181346037205353127	42	138.094
17497	419929 75866993 7981648027879 211498178440207889	53780884760406286284967381566737770163296207	44	145.270
17497	419929 211498178440207889 614042354446348876241	54535691881625507079086500160146547731147321	44	145.290
17497	75866993 211498178440207889 614042354446348876241	9852758333512186998731942671366676308835826257	46	152.787
17497	419929 75866993 7981648027879 614042354446348876241	156141964654431750509138375736460057606733267983	48	156.773
17497	7981648027879 211498178440207889 614042354446348876241	10365673662833312757504580957449614348376562622768 71	52	169.470
17497	419929 75866993 211498178440207889 614042354446348876241	41374589542334391741905059540443370156931196842757 53	52	171.467
17497	419929 7981648027879 211498178440207889 614042354446348876241	43528469755599301929461411768808591036994215656166 4162159	57	188.150
17497	75866993 7981648027879 211498178440207889 614042354446348876241	78641249121845929914041074096676318962098423786565 536218903	59	195.647
17497	419929 75866993 7981648027879 211498178440207889 614042354446348876241	33023741102487639502873354204343189945435029002268 679058867717887	65	214.327

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-08-27	Seth_Tr	Manual testing	400000000	400000000		-	skipped known factor: 419929 skipped known factor: 75866993 skipped known factor: 7981648027879 skipped known factor: 211498178440207889	-	-	0.171	-	-	7.984%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-08-26	ANONYMOUS	Manual testing	?	?	75866993	26.177	8	2.39771e-10	0.000	6.73936e-9
2008-08-26	ANONYMOUS	Manual testing	?	?	7981648027879	42.860	13	1.01979e-5	7.76996e-5	0.000

ECM factoring results:

Total ECM effort:	22.367 GHz-days
Estimated T-Level:	36.251

Digits	B1	Complete	FacMiss
20	11000	433.503	0.000%
25	50000	92.881	0.000%
30	250000	15.633	0.000%
35	1000000	2.160	11.534%
40	3000000	0.250	77.865%
45	11000000	0.025	97.508%
50	44000000	0.002	99.776%

ECM Summary

B1	B2	factor	curves	GHz-days
		211498178440207889	1	0.00000e+0
		614042354446348876241	1	0.00000e+0
50000	5000000		68	0.021
250000	25000000		467	0.717
1000000	100000000		1,535	9.422
3000000	300000000		663	12.21

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-26	ANONYMOUS	Manual testing			211498178440207889	57.553		1		1	-
2008-10-16	ANONYMOUS	Manual testing			614042354446348876241	69.057		1		1	-
2009-04-07	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
2009-07-02	Rob_Dee	twopc	250000	25000000						6	0.009
2011-04-05	James Hintz	17_051310	250000	25000000						11	0.017
2014-08-28	James Hintz	08_04_2014	250000	25000000						450	0.691
2014-08-28	James Hintz	08_04_2014	1000000	100000000						11	0.068
2017-10-02	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
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
2017-10-08	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
2017-11-15	kkmrkkblmbrbk	c4.large	1000000	100000000						1410	8.654
2019-09-08	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-11	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-15	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-09-18	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-21	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-24	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-28	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-10-01	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-04	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-07	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-11	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-14	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-17	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-24	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-27	Niels_Mache_Nextcloud	SuperDry3	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
2019-11-06	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-11-09	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-11-12	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2022-01-20	nordi	sweet16_ccx2	3000000	300000000						600	11.05

Lucas-Lehmer results:
No L-L results for M17497

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21

Oliver Kruse

Oliver-PC

419929

75866993

7981648027879

211498178440207889

614042354446348876241

10CA135317E30FAE

2017-09-21

Oliver Kruse

Manual testing

419929

75866993

7981648027879

211498178440207889

614042354446348876241

10CA135317E30FAE

2017-10-02

kkmrkkblmbrbk

Manual testing

419929

75866993

7981648027879

211498178440207889

614042354446348876241

10CA135317E30F__

2017-12-07

ATH

Manual testing

419929

75866993

7981648027879

211498178440207889

614042354446348876241

10CA135317E30F__

2020-04-17

Oliver Kruse

Manual testing

419929

75866993

7981648027879

211498178440207889

614042354446348876241

A34D18C92142CE__

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 400000000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.7

ECM T-Level=36.25 ~= 104-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

Last modified: 2023-03-23T17:39:31+00:00

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