M11 783 Mersenne number exponent details

is 2 ¹¹⁷⁸³ - 1

has 3548 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	2,521.7617	79.1045%	100000000000	122192573512709700	1,903,855.2193	40.5262%	1,906,376.9809	87.5726%
Target	2⁴⁴	0.0002	68.1818%	500	10000	0.0000	1.3289%	0.0002	68.6047%
Difference	+23	+2,521.7615	+10.9227%	+99999999500	+122192573512699700	+1,903,855.2193	+39.1973%	+1,906,376.9807	+18.9680%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
11783	23567	5	14.524	1 1	-	1	1	1.853e-13	2.860e-10	5.820e-10
11783	25451281	8	24.601	1080 2³ × 3³ × 5	2008-08-26	27	27	2.340e-10	7.721e-9	1.571e-8
11783	489271753991	12	38.832	20761765 5 × 4152353	2008-08-26	5	4152353	5.869e-6	6.470e-5	0.0001
11783	4712926015417235017	19	62.031	199988373734076 2² × 3 × 193 × 269761 × 320101	2008-08-26	269761	320101	74.428	7.793e-5	0.0002
11783	536342501572857788554341377	27	88.793	22759165814005677185536 2⁹ × 11 × 251 × 263 × 61215897874771	2008-10-16	512	61215897874771	9.069e+9	953.78	1,781.4

exponent	prime factors	composite factor	digits	bits*
11783	23567 25451281	599810339327	12	39.126
11783	23567 489271753991	11530667426305897	17	53.356
11783	25451281 489271753991	12452592896187812471	20	63.433
11783	23567 4712926015417235017	111069527405337977645639	24	76.556
11783	23567 25451281 489271753991	293470256784458176504057	24	77.958
11783	25451281 4712926015417235017	119950004350594380660706777	27	86.633
11783	489271753991 4712926015417235017	2305901577993005284459054702847	31	100.863
11783	23567 25451281 4712926015417235017	2826861752530457769030876613559	31	101.157
11783	23567 536342501572857788554341377	12639983734567539502860163231759	32	103.318
11783	25451281 536342501572857788554341377	13650603719773745549535126155953937	35	113.395
11783	23567 489271753991 4712926015417235017	54343182488561155538846542181995249	35	115.388
11783	25451281 489271753991 4712926015417235017	58688149019843393529252334236530497007	38	125.464
11783	489271753991 536342501572857788554341377	262417236484472806484388009742576185607	39	127.625
11783	23567 25451281 536342501572857788554341377	321703777863907861365894318117366433279	39	127.919
11783	23567 25451281 489271753991 4712926015417235017	1383103607950649255303889760952314222963969	43	139.989
11783	23567 489271753991 536342501572857788554341377	6184387012229570630417572225603292966200169	43	142.150
11783	4712926015417235017 536342501572857788554341377	2527742528836680762334698563000275684856398409	46	150.825
11783	25451281 489271753991 536342501572857788554341377	6678854825009769534692781348989044163791912567	46	152.226
11783	23567 4712926015417235017 536342501572857788554341377	59571308177094055525941841034227497065010741304903	50	165.349
11783	23567 25451281 489271753991 536342501572857788554341377	15740057166100523862410477805162480380808400346648 9	51	166.751
11783	25451281 4712926015417235017 536342501572857788554341377	64334285397072965189474629177216219532747640555411 929	53	175.426
11783	489271753991 4712926015417235017 536342501572857788554341377	12367530207215686933660249741194120997462388065305 31800319	58	189.656
11783	23567 25451281 4712926015417235017 536342501572857788554341377	15161661039528185706203485858194546457282636449693 92930743	58	189.950
11783	23567 489271753991 4712926015417235017 536342501572857788554341377	29146558439345209396557110565072184954719609953505 042938117873	62	204.181
11783	25451281 489271753991 4712926015417235017 536342501572857788554341377	31476948657983467575661537469330884905441552558113 199929354758639	65	214.258
11783	23567 25451281 489271753991 4712926015417235017 536342501572857788554341377	74181724902269638035561545353972096456654106913705 3782735103596845313	69	228.782

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-09-07	kkmrkkblmbrbk	Manual testing	100000000	10000000000	12	-	skipped known factor: 23567 skipped known factor: 25451281 skipped known factor: 489271753991 skipped known factor: 4712926015417235017	-	-	0.183	-	-	12.183%
2021-08-27	Seth_Tr	Manual testing	400000000	400000000		-	skipped known factor: 23567 skipped known factor: 25451281 skipped known factor: 489271753991 skipped known factor: 4712926015417235017	-	-	0.114	-	-	7.727%
2023-03-25	-Anonymous-	T5810	100000000000	122192573512709700			536342501572857788554341377	27	88.793	1,903,855	4.64774e-6	3,807,710	40.526%

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	?	?	25451281	24.601	8	4.43414e-11	0.000	3.88935e-9
2008-08-26	ANONYMOUS	Manual testing	?	?	489271753991	38.832	12	2.76133e-6	0.000	0.000
2011-02-05	Oscar Östlin	v4_computers	?	?	23567 25451281 489271753991	77.958	24	829,905	4.93874e-6	1,763,733

ECM factoring results:

Total ECM effort:	58.213 GHz-days
Estimated T-Level:	40.546

Digits	B1	Complete	FacMiss
20	11000	1,222.396	0.000%
25	50000	291.080	0.000%
30	250000	53.960	0.000%
35	1000000	8.106	0.030%
40	3000000	1.010	36.431%
45	11000000	0.109	89.655%
50	44000000	0.010	98.976%

ECM Summary

B1	B2	factor	curves	GHz-days
		4712926015417235017	1	0.00000e+0
		536342501572857788554341377	1	0.00000e+0
50000	5000000		310	0.064
250000	25000000		58	0.060
1000000	100000000		2,625	10.80
1000000	150000000		0	0.00000e+0
1000000	223092908		3	0.017
2000000	200000000		42	0.346
3000000	300000000		3,801	46.92

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-26	ANONYMOUS	Manual testing			4712926015417235017	62.031		1		1	-
2008-10-16	ANONYMOUS	Manual testing			536342501572857788554341377	88.793		1		1	-
2009-04-06	Matthias Wurtinger	AMD_Funzel	50000	5000000						50	0.010
2009-06-05	Rob_Dee	twopc	50000	5000000						230	0.047
2009-07-11	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-12	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-12	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-12	Rob_Dee	twopc	50000	5000000						6	0.001
2009-07-13	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-16	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-16	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-17	Rob_Dee	twopc	50000	5000000						6	0.001
2009-07-18	Rob_Dee	twopc	250000	25000000						8	0.008
2009-07-19	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-20	Rob_Dee	twopc	50000	5000000						1	0.000
2009-07-20	Rob_Dee	twopc	50000	5000000						1	0.000
2009-07-26	Rob_Dee	twopc	250000	25000000						4	0.004
2009-07-27	Rob_Dee	twopc	250000	25000000						8	0.008
2009-07-28	Rob_Dee	twopc	250000	25000000						8	0.008
2009-07-29	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-07-29	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-07-30	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-07-31	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-01	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-02	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-03	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-04	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-05	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-09	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-11	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-14	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-18	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-19	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-19	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-20	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-21	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-22	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-24	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-24	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-25	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-25	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-26	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-28	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-08-31	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-09-01	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-09-02	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-09-03	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-09-04	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-09-08	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-09-10	Rob_Dee	twopc	1000000	100000000						1	0.004
2009-09-10	Rob_Dee	twopc	1000000	100000000						1	0.004
2009-09-10	Rob_Dee	twopc	1000000	100000000						1	0.004
2009-09-11	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-09-12	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-09-13	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-09-14	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-09-15	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-09-16	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-09-16	Rob_Dee	twopc	1000000	100000000						1	0.004
2009-09-17	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-09-18	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-09-19	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-09-20	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-09-21	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-09-22	Rob_Dee	twopc	2000000	200000000						1	0.008
2009-09-23	Rob_Dee	twopc	1000000	100000000						1	0.004
2009-09-24	Rob_Dee	twopc	1000000	100000000						1	0.004
2009-09-25	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-01-12	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-01-14	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-01-15	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-01-16	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-12-01	Oscar Östlin		3000000	300000000						1	0.012
2010-12-02	Oscar Östlin		1000000	100000000						1	0.004
2010-12-20	Oscar Östlin		1000000	150000000						0	-
2010-12-21	Oscar Östlin		1000000	223092908						3	0.017
2011-04-13	James Hintz	17_051310	1000000	100000000						11	0.045
2017-03-13	BloodIce	Mjolnir4	1000000	100000000						1301	5.354
2017-03-14	kkmrkkblmbrbk	kel1	1000000	100000000						1301	5.354
2019-06-08	alex	newwork	3000000	300000000						3800	46.91

Lucas-Lehmer results:
No L-L results for M11783

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21

Oliver Kruse

Oliver-PC

23567

25451281

489271753991

4712926015417235017

536342501572857788554341377

3E382C2AD4324C28

2017-09-21

Oliver Kruse

Manual testing

23567

25451281

489271753991

4712926015417235017

536342501572857788554341377

3E382C2AD4324C28

2017-10-02

kkmrkkblmbrbk

Manual testing

23567

25451281

489271753991

4712926015417235017

536342501572857788554341377

3E382C2AD4324C__

2017-12-07

ATH

Manual testing

23567

25451281

489271753991

4712926015417235017

536342501572857788554341377

3E382C2AD4324C__

2020-04-17

Oliver Kruse

Manual testing

23567

25451281

489271753991

4712926015417235017

536342501572857788554341377

822A94CD4BDC82__

2022-05-12

Jorge Coveiro

Manual testing

23567

822A94CD4BDC8225

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 = 100000000000, B2 = 122192573512709700 (P-1 stage 2)

B1 = 100000000000 (P-1 stage 1)

B1 = 100000000, B2 = 10000000000 (P-1 stage 2)

B1 = 400000000 (P-1 stage 1)

B1 = 100000000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

10¹⁸

TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.8

ECM T-Level=40.55 ~= 118-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

Last modified: 2023-04-26T21:34:10+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