M1899917 Mersenne number exponent details

is 2 ^1899917 - 1

has 571933 decimal digits

takes 0.103 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	Prob over default TF
Actual	2⁶⁷	15.6396	68.6567%	500000	2903586840	12.4812	10.4362%	28.1208	71.9278%	3.2710%
PrimeNet	2⁵⁷	0.0101	63.1579%	9000	160000	0.0014	3.0380%	0.0115	64.2772%	1.1193%
GPU72	2⁶¹	0.1617	65.5738%	10000	160000	0.0014	1.7273%	0.1631	66.1684%	0.5947%
Difference	+6	+15.4779	+3.0829%	+490000	+2903426840	+12.4798	+8.7088%	+27.9577	+5.7593%	+5.7593%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1899917	15199337	8	23.858	4 2²	-	4	4	5.887e-13	3.146e-7	6.404e-7
1899917	26598839	8	24.665	7 7	2008-07-15	1	7	1.178e-12	1.044e-7	1.601e-7
1899917	75099919177	11	36.128	19764 2² × 3⁴ × 61	2008-07-15	81	81	6.158e-9	6.372e-6	1.297e-5
1899917	393863539693962704281	21	68.416	103652827911420 2² × 3 × 5 × 17 × 197 × 515839693	2020-10-16	197	515839693	34.642	2.2108	4.1291
1899917	1652600880241814772167	22	70.485	434913967357999 41 × 10607657740439	2020-10-31	41	10607657740439	234.17	45,462	84,910

exponent	prime factors	composite factor	digits	bits*
1899917	15199337 26598839	404284717769743	15	48.522
1899917	15199337 75099919177	1141468980243985649	19	59.986
1899917	26598839 75099919177	1997570659102035503	19	60.793
1899917	15199337 26598839 75099919177	30361749629003954996061511	26	84.650
1899917	15199337 393863539693962704281	5986464671821416007798261697	28	92.274
1899917	26598839 393863539693962704281	10476312880289823243174929759	29	93.081
1899917	15199337 1652600880241814772167	25118437705291984213744453279	29	94.343
1899917	26598839 1652600880241814772167	43957264744810312192691714113	29	95.150
1899917	75099919177 393863539693962704281	29579119997783730406355451896737	32	104.544
1899917	75099919177 1652600880241814772167	124110192537999345605546369146559	33	106.613
1899917	15199337 26598839 393863539693962704281	159233009984965681143448707358369783	36	116.939
1899917	15199337 26598839 1652600880241814772167	668121280454590936091930299911143081	36	119.008
1899917	15199337 75099919177 393863539693962704281	449583013009754171563343455165794863369	39	128.402
1899917	26598839 75099919177 393863539693962704281	786770250582729801898053241773552088343	39	129.209
1899917	15199337 75099919177 1652600880241814772167	1886392641519937359638168333784952631383	40	130.471
1899917	26598839 75099919177 1652600880241814772167	3301187029577245975867285379963890245001	40	131.278
1899917	393863539693962704281 1652600880241814772167	650899232393399717897944119521105210546927	42	138.901
1899917	15199337 26598839 75099919177 393863539693962704281	11958386180181356638991750865658695877779028591	47	153.067
1899917	15199337 26598839 75099919177 1652600880241814772167	50175854162573529119100737765244215664782764337	47	155.136
1899917	15199337 393863539693962704281 1652600880241814772167	9893236786188598888035784279769556707558697787399	49	162.759
1899917	26598839 393863539693962704281 1652600880241814772167	17313163887655623759012834066138634597398813217753	50	163.566
1899917	75099919177 393863539693962704281 1652600880241814772167	48882479745115659082390203710497429257787785665719 079	53	175.030
1899917	15199337 26598839 393863539693962704281 1652600880241814772167	26314861246470796545844285229632139596572388549668 2229761	57	187.424
1899917	15199337 75099919177 393863539693962704281 1652600880241814772167	74298128304168700637035947169450086492277642881703 3629050623	60	198.887
1899917	26598839 75099919177 393863539693962704281 1652600880241814772167	13002172086610924523113847636727237307417868070889 69601549281	61	199.694
1899917	15199337 26598839 75099919177 393863539693962704281 1652600880241814772167	19762439527639262970837165959727085691441677663099 237956703244026697	68	223.552

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2022-04-12T01:08:05	Lisander Viaene	Desktop	500000	2903586840		-	skipped known factor: 15199337 skipped known factor: 26598839 skipped known factor: 75099919177 skipped known factor: 393863539693962704281	-	-	12.48	-	-	10.436%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-07-15T07:47:00	J Feitsma	Manual testing	?	?	26598839	24.665	8	1.78240e-15	0.220	3.79862e-15
2008-07-15T07:47:00	J Feitsma	Manual testing	?	?	75099919177	36.128	11	1.33916e-9	0.220	2.85399e-9

ECM factoring results:

Old Calculation Method

Total ECM effort:	19.848 GHz-days
Estimated T-Level:	24.589

Digits	B1	Curves	Complete	FacMiss
20	11000	257 / 100	2.570	7.555%
25	50000	257 / 280	0.918	39.872%

New Calculation Method

Total ECM effort:	19.848 GHz-days
Estimated T-Level:	24.589

Digits	B1	Complete	FacMiss
20	11000	8.793	0.015%
25	50000	0.797	45.060%
30	250000	0.049	95.187%
35	1000000	0.002	99.773%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		28	1.942
50000	5000000	393863539693962704281	2	0.139
50000	5000000	1652600880241814772167	1	0.069
50000	6600000		212	16.59
50000	6750000		14	1.107

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2015-08-15T15:13:00	Richard B. Woods	Puttputt	50000	5000000						1	0.069
2018-04-26T11:38:38	Ismo Laitela	6600K	50000	5000000						3	0.208
2020-08-13T06:59:12	_p95holder_	TFL1_PRPt8pE_n	50000	5000000						3	0.208
2020-10-16T09:23:21	nordi	sweet16	50000	5000000	393863539693962704281	68.416	2	2	703486477141089	2	0.139
2020-10-31T12:48:39	nordi	sweet16	50000	5000000	1652600880241814772167	70.485	1	2	312347981627413	1	0.069
2020-11-01T11:24:02	Ahmed Azhad	c5.large.az	50000	5000000						7	0.486
2020-11-02T09:33:50	nordi	sweet16	50000	5000000						7	0.486
2021-05-08T19:45:49	_p95holder_	TFL15_PRPt13pE_s	50000	5000000						7	0.486
2021-08-13T03:01:47	Dylan Delgado	colab	50000	6750000						7	0.554
2021-11-19T01:23:20	LordJulius	surface7	50000	6750000						7	0.554
2021-12-10T12:35:16	TJAOI	Manual testing	50000	6600000						212	16.59

Lucas-Lehmer results:
No L-L results for M1899917

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-04T18:20:17

Oliver Kruse

GTX-3

15199337

26598839

75099919177

01852935594A7A__

2017-11-09T09:46:40

kkmrkkblmbrbk

old

15199337

26598839

75099919177

01852935594A7A__

2020-10-16T11:59:16

M Miller

cruncher

15199337

26598839

75099919177

393863539693962704281

F29E12F855AD070A

2020-10-31T21:24:38

laxeye

15199337

26598839

75099919177

393863539693962704281

1652600880241814772167

F29E12F855AD070A

2020-11-01T06:34:45

Poao

pc-Home

15199337

26598839

75099919177

393863539693962704281

1652600880241814772167

F29E12F855AD070A

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 = 500000, B2 = 2903586840 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

TF factor-bounds graph:

2⁶⁷

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-04-12T01:08:05+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