M60212377 Mersenne number exponent details

Residue

Status

L-L

CC203487AB0413__

needs double-check

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	31.7683	64.3836%	565000	11582500	3.7536	4.1837%	35.5219	65.8736%	1.4901%
PrimeNet	2⁶⁹	1.9828	62.3188%	260000	12000000	2.8979	5.6533%	4.8807	64.4491%	2.1302%
GPU72	2⁷³	31.7683	64.3836%	400000	14000000	3.6753	4.1549%	35.4436	65.8634%	1.4798%
Difference	-	-	-	+165000	-2417500	+0.0783	+0.0288%	+0.0783	+0.0103%	+0.0103%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷³

31.7683

64.3836%

565000

11582500

3.7536

4.1837%

35.5219

65.8736%

1.4901%

PrimeNet

2⁶⁹

1.9828

62.3188%

260000

12000000

2.8979

5.6533%

4.8807

64.4491%

2.1302%

GPU72

2⁷³

31.7683

64.3836%

400000

14000000

3.6753

4.1549%

35.4436

65.8634%

1.4798%

Difference

+165000

-2417500

+0.0783

+0.0288%

+0.0783

+0.0103%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
60212377	14691355141404591466247	23	73.637	121996139941499 121996139941499	2016-03-01	1	121996139941499	45.378	21,410,407	39,988,678

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

60212377

14691355141404591466247

73.637

121996139941499
121996139941499

2016-03-01

121996139941499

45.378

21,410,407

39,988,678

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-01-26T07:13:00	S485122	Q67-P	565000	11582500		-		-	-	3.754	-	-	4.184%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-07-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.003	-	-
2009-01-20T12:45:00	tmorrow	Moo2	2⁶³	2⁶⁴		-	-	0.033	-	-
2009-01-21T16:45:00	tmorrow	Moo2	2⁶⁴	2⁶⁵		-	-	0.062	-	-
2009-02-09T11:41:00	sannerud.com	v4_computers	2¹	2⁷⁰		-	-	3.968	-	-
2009-03-02T00:00:00	sannerud.com	v4_computers	2¹	2⁷⁰		-	-	3.968	-	-
2012-10-27T05:26:00	Zet_kor	meganet_i5	2⁷⁰	2⁷¹		-	-	3.971	-	-
2012-12-27T02:26:00	ixfd64	Manual testing	2⁷¹	2⁷²		-	-	7.943	-	-
2013-01-01T18:27:00	TheJudger	Manual testing	2⁷²	2⁷³		-	-	15.89	-	-
2016-03-01T17:00:26	AirSquirrels	Manual testing	2⁷³	2⁷⁴*	14691355141404591466247	73.637	23	13.61	272.6	27.73

date	userid	compid	res64	spent (GHz-days)
2013-05-06T18:05:00	benbradley	qd1g	CC203487AB0413__	133.8

date

userid

compid

res64

spent (GHz-days)

2013-05-06T18:05:00

benbradley

qd1g

CC203487AB0413__

133.8

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 = 565000, B2 = 11582500 (P-1 stage 2)

B1 = 565000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

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