M73438811 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	2⁷⁵	104.1943	64.0000%	625000	625000	2.5055	1.5033%	106.6998	64.5412%	0.5412%
PrimeNet	2⁷⁰	3.2537	61.4286%	320000	14000000	4.2707	5.5433%	7.5244	63.5667%	2.1381%
GPU72	2⁷⁴	52.0960	63.5135%	500000	17000000	5.6082	4.1276%	57.7042	65.0195%	1.5060%
Difference	+1	+52.0984	+0.4865%	+125000	-16375000	-3.1027	-2.6243%	+48.9957	-0.4783%	-0.4783%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁵

104.1943

64.0000%

625000

2.5055

1.5033%

106.6998

64.5412%

0.5412%

PrimeNet

2⁷⁰

3.2537

61.4286%

320000

14000000

4.2707

5.5433%

7.5244

63.5667%

2.1381%

GPU72

2⁷⁴

52.0960

63.5135%

500000

17000000

5.6082

4.1276%

57.7042

65.0195%

1.5060%

Difference

+52.0984

+0.4865%

+125000

-16375000

-3.1027

-2.6243%

+48.9957

-0.4783%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
73438811	126111349467688907859623017	27	86.705	858615136536516828 2² × 3 × 7 × 23² × 1021 × 39619 × 477677	2015-09-29	39619	477677	259,954	0.2545	0.3232

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

73438811

126111349467688907859623017

86.705

858615136536516828
2² × 3 × 7 × 23² × 1021 × 39619 × 477677

2015-09-29

39619

477677

259,954

0.2545

0.3232

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2015-09-29T02:02:56	Jwb52z	Clay	625000	625000			126111349467688907859623017	27	86.705	2.506	406.1	5.011	1.503%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2002-05-05T00:00:00	Jocelyn Larouche	v4_computers	2¹	2⁵⁷		-	-	0.000	-	-
2008-06-28T14:28:00	George Woltman	Manual testing	2¹	2⁶⁴		-	-	0.048	-	-
2010-06-05T12:21:00	GrunwalderGIMP	compute-0-5	2⁶⁴	2⁶⁵		-	-	0.051	-	-
2010-06-16T20:37:00	Beat Bucheli	I7	2⁶⁵	2⁶⁶		-	-	0.102	-	-
2010-06-17T08:24:00	Gnorfe	_k_kontor	2⁶⁶	2⁶⁷		-	-	0.204	-	-
2010-06-23T05:06:00	alexey77	kadr1	2⁶⁷	2⁶⁸		-	-	0.407	-	-
2010-07-09T05:10:00	ANONYMOUS		2⁶⁸	2⁶⁹		-	-	0.814	-	-
2012-10-09T05:54:00	Gnorfe	_resq1	2⁶⁹	2⁷⁰		-	-	1.628	-	-
2014-08-04T16:34:00	Mark Rose	Manual testing	2⁷⁰	2⁷¹		-	-	3.256	-	-
2015-01-11T14:34:00	RichD0	Manual testing	2⁷¹	2⁷²		-	-	6.512	-	-
2015-09-27T15:44:47	AirSquirrels	Manual testing	2⁷²	2⁷³		-	-	13.02	-	-
2015-09-27T15:44:47	AirSquirrels	Manual testing	2⁷³	2⁷⁴		-	-	26.05	-	-
2015-09-27T15:44:47	AirSquirrels	Manual testing	2⁷⁴	2⁷⁵		-	-	52.10	-	-

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 = 625000 (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