M13489919 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	4.4185	64.7059%	300000	210129150	7.5477	8.1478%	11.9661	67.5816%	2.8757%
PrimeNet	2⁶⁵	0.5408	63.0769%	60000	1700000	0.0961	3.8871%	0.6369	64.5122%	1.4352%
GPU72	2⁶⁹	8.8501	65.2174%	90000	2200000	0.1319	2.7821%	8.9819	66.1851%	0.9677%
Difference	-1	-4.4316	-0.5115%	+210000	+207929150	+7.4158	+5.3657%	+2.9842	+1.3965%	+1.9080%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁸

4.4185

64.7059%

300000

210129150

7.5477

8.1478%

11.9661

67.5816%

2.8757%

PrimeNet

2⁶⁵

0.5408

63.0769%

60000

1700000

0.0961

3.8871%

0.6369

64.5122%

1.4352%

GPU72

2⁶⁹

8.8501

65.2174%

90000

2200000

0.1319

2.7821%

8.9819

66.1851%

0.9677%

Difference

-1

-4.4316

-0.5115%

+210000

+207929150

+7.4158

+5.3657%

+2.9842

+1.3965%

+1.9080%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
13489919	26979839	8	24.685	1 1	-	1	1	1.657e-13	6.433e-7	1.309e-6
13489919	6169128817567	13	42.488	228657 3 × 11 × 13² × 41	2008-10-01	169	169	6.484e-8	0.0001	0.0002
13489919	9342000502429393	16	53.053	346258584 2³ × 3³ × 7 × 17 × 19 × 709	2014-09-02	27	709	0.0002	4.127e-5	4.614e-5
13489919	4370492674851647849	19	61.923	161991064396 2² × 7 × 191 × 30290027	2016-06-13	191	30290027	0.0444	1.0618	1.9829
13489919	186701808538071930017	21	67.339	6920049280432 2⁴ × 163 × 2653393129	2022-04-10	163	2653393129	3.5226	93.004	173.70

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

13489919

26979839

24.685

1
1

1.657e-13

6.433e-7

1.309e-6

13489919

6169128817567

42.488

228657
3 × 11 × 13² × 41

2008-10-01

169

6.484e-8

0.0001

0.0002

13489919

9342000502429393

53.053

346258584
2³ × 3³ × 7 × 17 × 19 × 709

2014-09-02

709

0.0002

4.127e-5

4.614e-5

13489919

4370492674851647849

61.923

161991064396
2² × 7 × 191 × 30290027

2016-06-13

191

30290027

0.0444

1.0618

1.9829

13489919

186701808538071930017

67.339

6920049280432
2⁴ × 163 × 2653393129

2022-04-10

163

2653393129

3.5226

93.004

173.70

exponent	prime factors	composite factor	digits	bits*
13489919	26979839 6169128817567	166442102268218031713	21	67.174
13489919	26979839 9342000502429393	252045669493464132007727	24	77.738
13489919	26979839 4370492674851647849	117915188718176807850716311	27	86.608
13489919	26979839 186701808538071930017	5037184735366006042277927263	28	92.025
13489919	6169128817567 9342000502429393	57632004513262561148995546831	29	95.541
13489919	6169128817567 4370492674851647849	26962132307392781291842848963383	32	104.411
13489919	6169128817567 186701808538071930017	1151787507344096110527768784208639	34	109.828
13489919	9342000502429393 4370492674851647849	40829144764328075942017793822825657	35	114.975
13489919	26979839 6169128817567 9342000502429393	1554902203015097264527554865217340209	37	120.226
13489919	9342000502429393 186701808538071930017	1744168389167144306004511188779789681	37	120.392
13489919	26979839 6169128817567 4370492674851647849	727433988750155749016132078333390235337	39	129.096
13489919	4370492674851647849 186701808538071930017	815978886597198213870197989264256583433	39	129.262
13489919	26979839 6169128817567 186701808538071930017	31075041510355030662565406827174822629121	41	134.513
13489919	26979839 9342000502429393 4370492674851647849	1101563752249264432095413412475030750929223	43	139.661
13489919	26979839 9342000502429393 186701808538071930017	47057382328618897465768445146977332047241359	44	145.077
13489919	26979839 4370492674851647849 186701808538071930017	22014978987791665661305508648473371075712407287	47	153.947
13489919	6169128817567 9342000502429393 4370492674851647849	251880253562231132017440412058282442063199916519	48	157.463
13489919	6169128817567 9342000502429393 186701808538071930017	10759999472300444044427666928204885432294478126127	50	162.880
13489919	6169128817567 4370492674851647849 186701808538071930017	50338788638330106013481789003299841768513185715675 11	52	171.750
13489919	26979839 6169128817567 9342000502429393 4370492674851647849	67956886883881724226182875094261189033919615724960 60441	55	182.149
13489919	9342000502429393 4370492674851647849 186701808538071930017	76228751685628024078215237111944415382920378104960 46169	55	182.314
13489919	26979839 6169128817567 9342000502429393 186701808538071930017	29030305340275093994716730086859236797675042043192 8153553	57	187.566
13489919	26979839 6169128817567 4370492674851647849 186701808538071930017	13581324129171754890966704967410001996399610199860 1424410729	60	196.435
13489919	26979839 9342000502429393 4370492674851647849 186701808538071930017	20566394476492227035183705046270853039803151510909 5835776186791	63	207.000
13489919	6169128817567 9342000502429393 4370492674851647849 186701808538071930017	47026498875096687028943857084813218728346467770596 328924291610250823	68	224.803
13489919	26979839 6169128817567 9342000502429393 4370492674851647849 186701808538071930017	12687673683837897254742936041872699863625724366693 77888368430833617954157497	76	249.488

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2022-07-06T15:56:09	nordi	sweet16_30.8b14	300000	300000		-	skipped known factor: 26979839 skipped known factor: 6169128817567 skipped known factor: 9342000502429393	-	-	0.193	-	-	1.925%
2022-07-14T19:08:46	nordi	sweet16_30.8b14	300000	210129150		-	skipped known factor: 26979839 skipped known factor: 6169128817567 skipped known factor: 9342000502429393 skipped known factor: 4370492674851647849	-	-	7.548	-	-	8.148%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2022-07-06T15:56:09

nordi

sweet16_30.8b14

300000

skipped known factor: 26979839
skipped known factor: 6169128817567
skipped known factor: 9342000502429393

0.193

-

-

1.925%

2022-07-14T19:08:46

nordi

sweet16_30.8b14

300000

210129150

skipped known factor: 26979839
skipped known factor: 6169128817567
skipped known factor: 9342000502429393
skipped known factor: 4370492674851647849

7.548

-

-

8.148%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-10-01T00:44:00	markr	Manual testing	?	?	6169128817567	42.488	13	2.14060e-8	12.71	4.54586e-8
2014-09-02T11:35:00	TJAOI	Manual testing	?	?	9342000502429393	53.053	16	6.63079e-5	12.71	0.000
2016-06-13T15:38:16	TJAOI	Manual testing	2⁶¹	2⁶²*	4370492674851647849	61.923	19	0.022	12.66	0.046
2022-04-10T18:35:43	LordJulius	Manual testing	2¹	2⁶⁴	26979839	24.685	8	1.65717e-13	12.71	3.51924e-13
2022-04-10T18:35:43	LordJulius	Manual testing	2¹	2⁶⁴	4370492674851647849	61.923	19	0.044	12.66	0.094
2022-04-10T18:35:43	LordJulius	Manual testing	2¹	2⁶⁴	6169128817567	42.488	13	6.48384e-8	12.71	1.37693e-7
2022-04-10T18:35:43	LordJulius	Manual testing	2¹	2⁶⁴	9342000502429393	53.053	16	0.000	12.71	0.000
2022-04-10T18:35:43	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	0.277	-	-
2022-04-10T18:35:43	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	0.554	-	-
2022-04-10T18:35:43	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	1.108	-	-
2022-04-10T18:35:43	LordJulius	Manual testing	2⁶⁷	2⁶⁸	skipped known factors(?)	-	-	2.216	-	-
2022-04-10T18:35:43	LordJulius	Manual testing	2⁶⁷	2⁶⁸	186701808538071930017	67.339	21	1.320	12.17	2.684

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