M61839119 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	2⁷³	30.9326	64.3836%	580000	580000	1.9756	1.7889%	32.9082	65.0207%	0.6372%
PrimeNet	2⁷⁰	3.8641	62.8571%	260000	12000000	3.0643	5.1409%	6.9283	64.7666%	1.9095%
GPU72	2⁷⁴	61.8681	64.8649%	400000	13000000	3.7007	3.7206%	65.5688	66.1721%	1.3072%
Difference	-1	-30.9355	-0.4813%	+180000	-12420000	-1.7252	-1.9316%	-32.6606	-1.1514%	-1.1514%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷³

30.9326

64.3836%

580000

1.9756

1.7889%

32.9082

65.0207%

0.6372%

PrimeNet

2⁷⁰

3.8641

62.8571%

260000

12000000

3.0643

5.1409%

6.9283

64.7666%

1.9095%

GPU72

2⁷⁴

61.8681

64.8649%

400000

13000000

3.7007

3.7206%

65.5688

66.1721%

1.3072%

Difference

-1

-30.9355

-0.4813%

+180000

-12420000

-1.7252

-1.9316%

-32.6606

-1.1514%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
61839119	21738927757882013620583	23	74.203	175770031247389 53 × 2027 × 37853 × 43223	2013-07-21	37853	43223	121.18	0.1299	0.2624

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

61839119

21738927757882013620583

74.203

175770031247389
53 × 2027 × 37853 × 43223

2013-07-21

37853

43223

121.18

0.1299

0.2624

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2013-07-21T17:38:00	Jwb52z	Clay	580000	580000			21738927757882013620583	23	74.203	1.976	290.5	3.951	1.789%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2013-07-21T17:38:00

Jwb52z

Clay

580000

21738927757882013620583

74.203

1.976

290.5

3.951

1.789%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-06-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2003-11-28T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.002	-	-
2004-04-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.010	-	-
2022-03-29T23:12:16	LordJulius	Manual testing	2⁶²	2⁶³		-	-	0.016	-	-
2009-02-09T12:24:00	WorknPlay	WnP_Q6600-1	2⁶³	2⁶⁴		-	-	0.032	-	-
2009-02-13T07:44:00	ANONYMOUS		2⁶⁴	2⁶⁵		-	-	0.060	-	-
2009-02-16T09:00:00	curtisc	wde2610-01l	2⁶⁵	2⁶⁶		-	-	0.121	-	-
2009-02-17T13:29:00	WorknPlay	WnP_Dual-Xeon1800	2⁶⁶	2⁶⁷		-	-	0.242	-	-
2009-02-19T02:33:00	WorknPlay	WnP_Dual-Xeon1800	2⁶⁷	2⁶⁸		-	-	0.483	-	-
2009-09-24T19:57:00	wurkfur	Cooler_Master	2⁶⁸	2⁶⁹		-	-	0.967	-	-
2012-04-28T22:41:00	Xyzzy	Manual testing	2⁶⁹	2⁷⁰		-	-	1.933	-	-
2012-04-28T22:41:00	Xyzzy	Manual testing	2⁷⁰	2⁷¹		-	-	3.867	-	-
2013-02-13T00:57:00	monst	Manual testing	2⁷¹	2⁷²		-	-	7.734	-	-
2013-02-18T01:44:00	Jerry Hallett	Manual testing	2⁷²	2⁷³		-	-	15.47	-	-

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 = 580000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

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