M104447437 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	2⁷⁶	146.5234	64.4737%	760000	22867000	11.3414	3.9689%	157.8648	68.4426%	5.9426%
PrimeNet	2⁷²	9.1561	62.5000%	450000	22000000	9.3765	5.3926%	18.5326	67.8926%	5.3926%
GPU72	2⁷⁶	146.5234	64.4737%	650000	24000000	11.0973	3.9245%	157.6207	68.3982%	3.9245%
Difference	-	-	-	+110000	-1133000	+0.2441	+0.0444%	+0.2441	+0.0444%	+0.0444%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁶

146.5234

64.4737%

760000

22867000

11.3414

3.9689%

157.8648

68.4426%

5.9426%

PrimeNet

2⁷²

9.1561

62.5000%

450000

22000000

9.3765

5.3926%

18.5326

67.8926%

5.3926%

GPU72

2⁷⁶

146.5234

64.4737%

650000

24000000

11.0973

3.9245%

157.6207

68.3982%

3.9245%

Difference

+110000

-1133000

+0.2441

+0.0444%

+0.2441

+0.0444%

	GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
104447437	1212732987209823540401611753	28	89.970	5805470301821879748 2² × 3 × 59 × 383 × 394619 × 54253453	394619	54253453	2021-01-10	1,555,757	19.219	31.873

GHz-days

exponent

factor

digits

bits*

min B1

min B2

date found

min. TF

min. P-1

normal P-1

104447437

1212732987209823540401611753

89.970

5805470301821879748
2² × 3 × 59 × 383 × 394619 × 54253453

394619

54253453

2021-01-10

1,555,757

19.219

31.873

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-01-10T22:43:34	TheJudger	Manual testing	760000	22867000	12		1212732987209823540401611753	28	89.970	11.34	831.7	22.68	3.969%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-18T12:26:00	sasaki3	mate_ma2	2⁶³	2⁶⁴		-	-	0.019	-	-
2010-08-27T13:53:00	sasaki3	mate24	2⁶⁴	2⁶⁵		-	-	0.036	-	-
2012-05-05T13:14:00	tsc	vista1	2⁶⁵	2⁶⁶		-	-	0.072	-	-
2014-07-24T05:06:00	Preben S	Manual testing	2⁶⁶	2⁶⁷		-	-	0.143	-	-
2014-07-25T00:19:00	JMGarcia	mcsanchez	2⁶⁷	2⁶⁸		-	-	0.286	-	-
2014-07-29T05:14:00	Templar	fdesk2	2⁶⁸	2⁶⁹		-	-	0.572	-	-
2014-07-30T20:19:00	WR	wr8	2⁶⁹	2⁷⁰		-	-	1.145	-	-
2014-10-24T02:16:00	SMoffat	Manual testing	2⁷⁰	2⁷¹		-	-	2.289	-	-
2014-12-26T18:38:00	shauge	Manual testing	2⁷¹	2⁷²		-	-	4.579	-	-
2020-03-18T00:05:19	Steven	Manual testing	2⁷²	2⁷³		-	-	9.158	-	-
2020-03-31T14:05:09	SRBase	Manual testing	2⁷³	2⁷⁴		-	-	18.32	-	-
2020-10-15T18:36:01	ktony	GPU72_TF	2⁷⁴	2⁷⁵		-	-	36.63	-	-
2020-10-15T19:09:01	ktony	GPU72_TF	2⁷⁵	2⁷⁶		-	-	73.26	-	-

date	userid	compid	cofactors	res64	PRP
2020-12-08T13:18:15	tServo	Manual testing		8E3F10A3811D1E__	no

date

userid

compid

cofactors

res64

PRP

2020-12-08T13:18:15

tServo

Manual testing

8E3F10A3811D1E__

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 = 760000, B2 = 22867000 (stage 2)

B1 = 760000 (stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

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	<	123M	PrimeNet wavefront