M7261979 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	8.2078	66.1765%	-	-	-	-	8.2078	66.1765%	0.0000%
PrimeNet	2⁶³	0.2198	63.4921%	32000	800000	0.0233	3.3776%	0.2431	64.7252%	1.2331%
GPU72	2⁶⁷	4.0917	65.6716%	45000	1000000	0.0307	2.3137%	4.1224	66.4659%	0.7943%
Difference	+1	+4.1161	+0.5048%	-45000	-1000000	-0.0307	-2.3137%	+4.0854	-0.2894%	-0.2894%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁸

8.2078

66.1765%

8.2078

66.1765%

0.0000%

PrimeNet

2⁶³

0.2198

63.4921%

32000

800000

0.0233

3.3776%

0.2431

64.7252%

1.2331%

GPU72

2⁶⁷

4.0917

65.6716%

45000

1000000

0.0307

2.3137%

4.1224

66.4659%

0.7943%

Difference

+4.1161

+0.5048%

-45000

-1000000

-0.0307

-2.3137%

+4.0854

-0.2894%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
7261979	14523959	8	23.792	1 1	-	1	1	1.539e-13	3.162e-7	6.435e-7
7261979	305003119	9	28.184	21 3 × 7	2008-09-08	3	7	4.947e-12	1.017e-6	1.930e-6
7261979	363098951	9	28.436	25 5²	2008-09-08	25	25	4.951e-12	7.905e-6	1.609e-5
7261979	23362837636841669279	20	64.341	1608572376541 13 × 123736336657	2017-09-14	13	123736336657	0.5303	2,131.5	3,981.1
7261979	200833467778403979481	21	67.445	13827736749060 2² × 3² × 5 × 13 × 36353 × 162553	2022-08-05	36353	162553	5.5350	0.0137	0.0234

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

7261979

14523959

23.792

1
1

1.539e-13

3.162e-7

6.435e-7

7261979

305003119

28.184

21
3 × 7

2008-09-08

4.947e-12

1.017e-6

1.930e-6

7261979

363098951

28.436

25
5²

2008-09-08

4.951e-12

7.905e-6

1.609e-5

7261979

23362837636841669279

64.341

1608572376541
13 × 123736336657

2017-09-14

123736336657

0.5303

2,131.5

3,981.1

7261979

200833467778403979481

67.445

13827736749060
2² × 3² × 5 × 13 × 36353 × 162553

2022-08-05

36353

162553

5.5350

0.0137

0.0234

exponent	prime factors	composite factor	digits	bits*
7261979	14523959 305003119	4429852795228121	16	51.976
7261979	14523959 363098951	5273634277267009	16	52.228
7261979	305003119 363098951	110746312560628169	18	56.620
7261979	14523959 305003119 363098951	1608474903031748540801071	25	80.412
7261979	14523959 23362837636841669279	339320895961145294099755561	27	88.133
7261979	14523959 200833467778403979481	2916897051841360483418885279	28	91.236
7261979	305003119 23362837636841669279	7125738347927298439261481201	28	92.525
7261979	363098951 23362837636841669279	8483021838320529068293826329	28	92.777
7261979	305003119 200833467778403979481	61254834071999214583717001239	29	95.629
7261979	363098951 200833467778403979481	72922421476030785403776624431	29	95.880
7261979	14523959 305003119 23362837636841669279	103493931610023817512597743242594759	36	116.317
7261979	14523959 363098951 23362837636841669279	123207061375871993046207733555516511	36	116.569
7261979	14523959 305003119 200833467778403979481	889662698613519640646107793598185201	36	119.421
7261979	14523959 363098951 200833467778403979481	1059122259698590609942250138394242329	37	119.672
7261979	305003119 363098951 23362837636841669279	2587348119232875087559781038789320151	37	120.961
7261979	305003119 363098951 200833467778403979481	22241565995221973288171544830746600289	38	124.065
7261979	23362837636841669279 200833467778403979481	4692039699750725159854997556096504064199	40	131.785
7261979	14523959 305003119 363098951 23362837636841669279	37578538002465389223839669856353495510997809	44	144.753
7261979	14523959 305003119 363098951 200833467778403979481	323035592610398135936498702088425561986824151	45	147.857
7261979	14523959 23362837636841669279 200833467778403979481	68146992225551842442002430449845825071759643841	47	155.577
7261979	305003119 23362837636841669279 200833467778403979481	1431086742895794696267547842346811204576871236681	49	159.970
7261979	363098951 23362837636841669279 200833467778403979481	1703674693029843267032656924726204280477893555249	49	160.221
7261979	14523959 305003119 23362837636841669279 200833467778403979481	20785045179262063441007317892783549716015090189834 140079	56	183.762
7261979	14523959 363098951 23362837636841669279 200833467778403979481	24744101390903029386808360835789477195285426402800 710791	56	184.013
7261979	305003119 363098951 23362837636841669279 200833467778403979481	51962609513546975652611023689844052657690834490094 3821631	57	188.405
7261979	14523959 305003119 363098951 23362837636841669279 200833467778403979481	75470281010776621895252075101932373719414271480991 67126671957129	64	212.197

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08T03:28:00	Will Edgington	Manual testing	?	?	305003119	28.184	9	2.23834e-14	3.437	4.85864e-14
2008-09-08T03:28:00	Will Edgington	Manual testing	?	?	363098951	28.436	9	2.66469e-14	3.437	5.78409e-14
2022-08-10T19:28:49	LordJulius	Manual testing	2¹	2⁶³	14523959	23.792	8	1.53919e-13	3.437	3.34103e-13
2022-08-10T19:28:49	LordJulius	Manual testing	2¹	2⁶³	305003119	28.184	9	4.94673e-12	3.437	1.07376e-11
2022-08-10T19:28:50	LordJulius	Manual testing	2¹	2⁶³	305003119 363098951	56.620	18	0.002	3.435	0.005
2022-08-10T19:28:50	LordJulius	Manual testing	2¹	2⁶³	363098951	28.436	9	4.95099e-12	3.437	1.07468e-11
2022-08-10T19:28:50	LordJulius	Manual testing	2¹	2⁶³	14523959 305003119	51.976	16	8.24380e-5	3.437	0.000
2022-08-10T19:28:50	LordJulius	Manual testing	2¹	2⁶³	14523959 363098951	52.228	16	0.000	3.437	0.000
2022-08-10T19:28:50	LordJulius	Manual testing	2⁶³	2⁶⁴		-	-	0.270	-	-
2017-09-14T12:30:54	TJAOI	Manual testing	2⁶⁴	2⁶⁵*	23362837636841669279	64.341	20	0.040	3.217	0.082
2022-08-10T19:28:50	LordJulius	Manual testing	2⁶⁴	2⁶⁵	23362837636841669279	64.341	20	0.040	3.217	0.082
2022-08-10T19:28:50	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	1.029	-	-
2022-08-10T19:28:50	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	2.058	-	-
2022-08-05T09:30:58	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	200833467778403979481	67.445	21	1.443	3.217	2.933
2022-08-10T19:28:50	LordJulius	Manual testing	2⁶⁷	2⁶⁸	200833467778403979481	67.445	21	1.443	3.217	2.933

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