M10136719 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	5.8801	64.7059%	-	-	-	-	5.8801	64.7059%	0.0000%
PrimeNet	2⁶⁴	0.3511	62.5000%	45000	1300000	0.0479	3.7521%	0.3991	63.9070%	1.4070%
GPU72	2⁶⁸	5.8801	64.7059%	70000	1600000	0.0649	2.6525%	5.9450	65.6421%	0.9362%
Difference	-	-	-	-70000	-1600000	-0.0649	-2.6525%	-0.0649	-0.9362%	-0.9362%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁸

5.8801

64.7059%

5.8801

64.7059%

0.0000%

PrimeNet

2⁶⁴

0.3511

62.5000%

45000

1300000

0.0479

3.7521%

0.3991

63.9070%

1.4070%

GPU72

2⁶⁸

5.8801

64.7059%

70000

1600000

0.0649

2.6525%

5.9450

65.6421%

0.9362%

Difference

-70000

-1600000

-0.0649

-2.6525%

-0.0649

-0.9362%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
10136719	243281257	9	27.858	12 2² × 3	-	4	4	1.768e-12	1.692e-6	3.443e-6
10136719	12508711247	11	33.542	617 617	2008-09-08	1	617	1.280e-10	1.462e-5	2.661e-5
10136719	22807617751	11	34.409	1125 3² × 5³	2008-09-08	125	125	2.808e-10	5.286e-5	0.0001
10136719	1041243775681	13	39.921	51360 2⁵ × 3 × 5 × 107	2008-09-08	32	107	8.069e-9	1.526e-5	2.754e-5
10136719	184107564816055623199	21	67.319	9081220699521 3² × 17 × 167 × 355415471	2022-02-06	167	355415471	3.0596	8.1894	15.295

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

10136719

243281257

27.858

12
2² × 3

1.768e-12

1.692e-6

3.443e-6

10136719

12508711247

33.542

617
617

2008-09-08

617

1.280e-10

1.462e-5

2.661e-5

10136719

22807617751

34.409

1125
3² × 5³

2008-09-08

125

2.808e-10

5.286e-5

0.0001

10136719

1041243775681

39.921

51360
2⁵ × 3 × 5 × 107

2008-09-08

107

8.069e-9

1.526e-5

2.754e-5

10136719

184107564816055623199

67.319

9081220699521
3² × 17 × 167 × 355415471

2022-02-06

167

355415471

3.0596

8.1894

15.295

exponent	prime factors	composite factor	digits	bits*
10136719	243281257 12508711247	3043134995620197479	19	61.400
10136719	243281257 22807617751	5548665915638793007	19	62.267
10136719	243281257 1041243775681	253315094591099711017	21	67.779
10136719	12508711247 22807617751	285293904679210545497	21	67.951
10136719	12508711247 1041243775681	13024617727729669784207	23	73.464
10136719	22807617751 1041243775681	23748290021340237713431	23	74.330
10136719	243281257 184107564816055623199	44789919791658985793771081143	29	95.177
10136719	243281257 12508711247 22807617751	69406659744796523276165849729	29	95.809
10136719	12508711247 184107564816055623199	2302948366672376460086925419153	31	100.861
10136719	243281257 12508711247 1041243775681	3168645372746557821296797708199	31	101.322
10136719	22807617751 184107564816055623199	4199054963392053281476879805449	31	101.728
10136719	243281257 22807617751 1041243775681	5777513847992209855602299462767	31	102.188
10136719	1041243775681 184107564816055623199	191700855920504189349438215623519	33	107.241
10136719	12508711247 22807617751 1041243775681	297060502486956501499647912658457	33	107.872
10136719	243281257 12508711247 184107564816055623199	560264173450152652387157545236793715321	39	128.719
10136719	243281257 22807617751 184107564816055623199	1021551369706107706128670135507548169393	40	129.586
10136719	243281257 1041243775681 184107564816055623199	46637225196316151258697341340726741083383	41	135.099
10136719	12508711247 22807617751 184107564816055623199	52524766047353350152433103192887078184903	41	135.270
10136719	243281257 12508711247 22807617751 1041243775681	72269252450078403789156729248975630640449	41	135.731
10136719	12508711247 1041243775681 184107564816055623199	2397930652512337291225935420901523233018193	43	140.783
10136719	22807617751 1041243775681 184107564816055623199	4372239844374384793876112188532737477485769	43	141.649
10136719	243281257 12508711247 22807617751 184107564816055623199	12778291107631044548245066953176281839880480263071	50	163.128
10136719	243281257 12508711247 1041243775681 184107564816055623199	58337158334203162421742064019774664534336989690860 1	51	168.641
10136719	243281257 22807617751 1041243775681 184107564816055623199	10636840052448847112558664754992653591737470819316 33	52	169.507
10136719	12508711247 22807617751 1041243775681 184107564816055623199	54691085715907396749863901257333237712324647972743 943	53	175.192
10136719	243281257 12508711247 22807617751 1041243775681 184107564816055623199	13305316079660696376904604476807910538534144750891 648192176351	62	203.050

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08T06:26:00	Will Edgington	Manual testing	?	?	1041243775681	39.921	13	8.44477e-10	6.360	1.81664e-9
2008-09-08T06:26:00	Will Edgington	Manual testing	?	?	12508711247	33.542	11	1.50765e-11	6.360	3.24325e-11
2008-09-08T06:26:00	Will Edgington	Manual testing	?	?	22807617751	34.409	11	5.49790e-11	6.360	1.18271e-10
2022-02-06T22:02:49	ViliamF	Manual testing	2⁶⁷	2⁶⁸	184107564816055623199	67.319	21	0.128	6.009	0.261
2022-02-06T22:02:50	ViliamF	Manual testing	2⁶⁷	2⁶⁸	skipped known factors(?)	-	-	2.949	-	-

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