M14 779 Mersenne number exponent details

is 2 ¹⁴⁷⁷⁹ - 1

has 4449 decimal digits

takes 0.000 GHz-days to do one PRP test

Assigned as ecm on 2023-05-17, 0.0% done, ETC 2023-07-22

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	2,010.5499	79.1045%	7300000000	30020805351537000	565,244.1154	36.5202%	567,254.6653	86.7356%
Target	2⁴⁴	0.0002	68.1818%	500	10000	0.0000	1.4237%	0.0002	68.6348%
Difference	+23	+2,010.5498	+10.9227%	+7299999500	+30020805351527000	+565,244.1154	+35.0965%	+567,254.6652	+18.1007%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
14779	266023	6	18.021	9 3²	-	9	9	2.368e-12	3.110e-9	6.330e-9
14779	10471571777	11	33.286	354272 2⁵ × 11071	2008-08-26	32	11071	1.303e-7	2.189e-7	3.895e-7
14779	20422936707868817	17	54.181	690944472152 2³ × 11 × 47 × 277 × 603091	2008-08-26	277	603091	0.2521	1.145e-5	2.121e-5
14779	787267842159327816769	21	69.415	26634679009382496 2⁵ × 3 × 13 × 47 × 454082770891	2008-08-29	47	454082770891	15,181	8.5496	15.968
14779	872760766652656892363620873	27	89.496	29527057536120742011084 2² × 3³ × 11 × 107 × 22741 × 10214341972589	2009-06-10	22741	10214341972589	1.382e+10	192.32	359.20

exponent	prime factors	composite factor	digits	bits*
14779	266023 10471571777	2785678938832871	16	51.307
14779	266023 20422936707868817	5432970891837386304791	22	72.202
14779	266023 787267842159327816769	209431353174750863800339687	27	87.437
14779	10471571777 20422936707868817	213860247633576397915577809	27	87.467
14779	10471571777 787267842159327816769	8243931716895307903369287728513	31	102.701
14779	266023 10471571777 20422936707868817	56891744656226894102695755483607	32	105.488
14779	266023 872760766652656892363620873	232174437427239744477247515498079	33	107.517
14779	266023 10471571777 787267842159327816769	2193075447123640494378008029402213799	37	120.722
14779	10471571777 872760766652656892363620873	9139177012152844676139419155234901321	37	122.781
14779	20422936707868817 787267842159327816769	16078321312560409896359120955464792273	38	123.596
14779	266023 10471571777 872760766652656892363620873	2431231286303936199280636701933054154116383	43	140.803
14779	266023 20422936707868817 787267842159327816769	4277203270531257921859142433935610434840279	43	141.618
14779	20422936707868817 872760766652656892363620873	17824337898458277357130402121875769207017241	44	143.677
14779	10471571777 20422936707868817 787267842159327816769	168365295678145183878265666053774392683114479121	48	156.882
14779	787267842159327816769 872760766652656892363620873	687096485483957822729940566806402007774727819337	48	158.911
14779	266023 20422936707868817 872760766652656892363620873	4741683840761566317375900963667757751758347502543	49	161.698
14779	266023 10471571777 20422936707868817 787267842159327816769	44789041052187216250847867280623225264740163079205 783	53	174.903
14779	266023 787267842159327816769 872760766652656892363620873	18278346835789891187608697940353948131425641868348 6751	54	176.932
14779	10471571777 20422936707868817 872760766652656892363620873	18664883368120718898496486856809521912836741120800 7257	54	176.963
14779	10471571777 787267842159327816769 872760766652656892363620873	71949801654697029227572147322573022875299744068260 84051849	58	192.197
14779	266023 10471571777 20422936707868817 872760766652656892363620873	49652882682375780035347309231090394478185683831787 714528911	59	194.984
14779	266023 10471571777 787267842159327816769 872760766652656892363620873	19140302085587467806206425347192843264355863816270 95357725026527	64	210.218
14779	20422936707868817 787267842159327816769 872760766652656892363620873	14032528035237975984699817933429612100612025941660 497403071914329	65	213.092
14779	266023 20422936707868817 787267842159327816769 872760766652656892363620873	37329752055181120853777996661047456998411129770783 50500657399865543567	70	231.113
14779	10471571777 20422936707868817 787267842159327816769 872760766652656892363620873	14694262453375925079998639728873999088882657527748 3913121789651188918292633	75	246.378
14779	266023 10471571777 20422936707868817 787267842159327816769 872760766652656892363620873	39090117806344237175564781365942478596218312035042 103020397848378229610961108559	80	264.399

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-08-02	ViliamF	3	250000000	42750000000		-	skipped known factor: 266023 skipped known factor: 10471571777 skipped known factor: 20422936707868817	-	-	0.887	-	-	14.970%
2021-08-27	Seth_Tr	Manual testing	400000000	400000000		-	skipped known factor: 266023 skipped known factor: 10471571777 skipped known factor: 20422936707868817	-	-	0.138	-	-	7.874%
2023-05-27	JacobZ	GreatLakes	7300000000	30020805351537000		-	skipped known factor: 266023 skipped known factor: 10471571777 skipped known factor: 20422936707868817 skipped known factor: 787267842159327816769 skipped known factor: 872760766652656892363620873	-	-	565,244	-	-	36.520%

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	?	?	10471571777	33.286	11	5.28266e-8	0.000	2.48688e-6
2008-08-26	ANONYMOUS	Manual testing	?	?	20422936707868817	54.181	17	0.090	7.39632e-6	0.188

ECM factoring results:

Total ECM effort:	22.955 GHz-days
Estimated T-Level:	36.606

Digits	B1	Complete	FacMiss
20	11000	494.643	0.000%
25	50000	109.121	0.000%
30	250000	18.924	0.000%
35	1000000	2.693	6.766%
40	3000000	0.321	72.529%
45	11000000	0.033	96.714%
50	44000000	0.003	99.696%

ECM Summary

B1	B2	factor	curves	GHz-days
		787267842159327816769	1	0.00000e+0
		872760766652656892363620873	1	0.00000e+0
50000	5000000		85	0.021
250000	25000000		551	0.685
500000	50000000		10	0.025
1000000	100000000		1,421	7.066
3000000	300000000		1,016	15.16

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-29	ANONYMOUS	Manual testing			787267842159327816769	69.415		1		1	-
2009-04-07	Matthias Wurtinger	WUR_E6600	50000	5000000						50	0.012
2009-06-08	unconnected	dual5430	250000	25000000						30	0.037
2009-06-10	Rob_Dee	twopc			872760766652656892363620873	89.496		1		1	-
2009-06-11	Rob_Dee	twopc	50000	5000000						17	0.004
2009-07-06	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-06	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-07	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-07	Rob_Dee	twopc	50000	5000000						6	0.001
2009-07-08	Rob_Dee	twopc	250000	25000000						10	0.012
2009-08-08	Rob_Dee	twopc	500000	50000000						5	0.012
2009-08-13	Rob_Dee	twopc	500000	50000000						5	0.012
2010-07-23	James Hintz	home2	250000	25000000						511	0.635
2011-01-01	James Hintz	newestmember	1000000	100000000						3	0.015
2011-01-10	James Hintz	newestmember	1000000	100000000						3	0.015
2011-01-13	James Hintz	newestmember	1000000	100000000						3	0.015
2011-01-16	James Hintz	newestmember	1000000	100000000						3	0.015
2011-01-19	James Hintz	newestmember	1000000	100000000						3	0.015
2011-01-22	James Hintz	newestmember	1000000	100000000						3	0.015
2011-01-25	James Hintz	newestmember	1000000	100000000						3	0.015
2011-01-28	James Hintz	newestmember	1000000	100000000						3	0.015
2011-02-01	James Hintz	newestmember	1000000	100000000						3	0.015
2011-04-08	James Hintz	17_051310	1000000	100000000						11	0.055
2017-07-17	kkmrkkblmbrbk	c4.large	1000000	100000000						1383	6.877
2019-04-01	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-04-03	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-04-05	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-04-08	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-04-10	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-04-12	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-04-16	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-04-20	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-04-24	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-04-26	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-04-28	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-01	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-04	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-07	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-05-10	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-05-12	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.045
2019-05-14	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-17	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-21	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-26	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-05-30	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-03	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-07	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-11	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-15	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-19	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-24	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-06-28	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-07-09	Niels_Mache_Nextcloud		3000000	300000000						3	0.045
2019-07-21	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-07-24	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-07-27	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-07-29	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-01	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-04	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-06	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-09	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-12	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-14	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-17	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-20	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-08-22	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-08-28	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-08-30	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-02	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-09-05	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-07	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-10	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-09-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-16	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-18	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-21	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-24	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-09-26	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-09-29	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-02	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-05	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-10-07	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-10	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-10-13	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-10-15	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-18	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-21	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-24	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-10-26	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-10-29	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-01	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-03	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-06	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-08	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.045
2019-11-11	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2021-11-01	nordi	sweet16	3000000	300000000						800	11.93

Lucas-Lehmer results:
No L-L results for M14779

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21

Oliver Kruse

Oliver-PC

266023

10471571777

20422936707868817

787267842159327816769

872760766652656892363620873

88B05FEF6B7F4951

2017-09-21

Oliver Kruse

Manual testing

266023

10471571777

20422936707868817

787267842159327816769

872760766652656892363620873

88B05FEF6B7F4951

2017-10-02

kkmrkkblmbrbk

Manual testing

266023

10471571777

20422936707868817

787267842159327816769

872760766652656892363620873

88B05FEF6B7F49__

2017-12-07

ATH

Manual testing

266023

10471571777

20422936707868817

787267842159327816769

872760766652656892363620873

88B05FEF6B7F49__

2020-04-17

Oliver Kruse

Manual testing

266023

10471571777

20422936707868817

787267842159327816769

872760766652656892363620873

61AC6DDF5F9A2D__

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 = 7300000000, B2 = 30020805351537000 (P-1 stage 2)

B1 = 7300000000 (P-1 stage 1)

B1 = 250000000, B2 = 42750000000 (P-1 stage 2)

B1 = 400000000 (P-1 stage 1)

B1 = 250000000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.8

ECM T-Level=36.61 ~= 105-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

Last modified: 2023-05-29T14:10:06+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