M30011593 Mersenne number exponent details

Residue

Status

L-L

1DAAC6DF6C70A08B

double-checked

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	2⁷⁴	127.4796	66.2162%	300000	3150000	0.6877	2.3683%	128.1673	67.0163%	0.8001%
PrimeNet	2⁶⁷	0.9901	62.6866%	130000	5000000	0.5971	4.9082%	1.5872	64.5180%	1.8314%
GPU72	2⁷¹	15.9298	64.7887%	200000	6000000	0.7794	3.5600%	16.7092	66.0423%	1.2535%
Difference	+3	+111.5498	+1.4275%	+100000	-2850000	-0.0917	-1.1917%	+111.4581	+0.9741%	+0.9741%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

127.4796

66.2162%

300000

3150000

0.6877

2.3683%

128.1673

67.0163%

0.8001%

PrimeNet

2⁶⁷

0.9901

62.6866%

130000

5000000

0.5971

4.9082%

1.5872

64.5180%

1.8314%

GPU72

2⁷¹

15.9298

64.7887%

200000

6000000

0.7794

3.5600%

16.7092

66.0423%

1.2535%

Difference

+111.5498

+1.4275%

+100000

-2850000

-0.0917

-1.1917%

+111.4581

+0.9741%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
30011593	4465670091744727621684633	25	81.885	74399084576162412 2² × 3 × 11 × 1033 × 69779 × 7819313	2021-10-09	69779	7819313	21,447	0.7431	1.2018

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

30011593

4465670091744727621684633

81.885

74399084576162412
2² × 3 × 11 × 1033 × 69779 × 7819313

2021-10-09

69779

7819313

21,447

0.7431

1.2018

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2005-09-03T00:00:00	ebravick	v4_computers	300000	3150000		-		-	-	0.688	-	-	2.368%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2021-10-09T00:00:50	ATH	5960X	500000	12500000	2	7	4465670091744727621684633	P-1	25	81.885	2.116

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-09-16T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2003-06-01T00:00:00	AxelFox	v4_computers	2¹	2⁶⁰		-	-	0.005	-	-
2004-11-22T00:00:00	1997rj7	v4_computers	2¹	2⁶²		-	-	0.020	-	-
2005-07-17T00:00:00	Team Prime Rib	v4_computers	2¹	2⁶⁸		-	-	1.986	-	-
2012-03-01T19:57:00	hustensaft	Manual testing	2⁶⁸	2⁶⁹		-	-	1.992	-	-
2012-03-05T12:17:00	bcp19	Manual testing	2⁶⁹	2⁷⁰		-	-	3.984	-	-
2016-09-02T08:00:05	Bruno Victal	Manual testing	2⁷⁰	2⁷¹		-	-	7.968	-	-
2020-03-13T19:39:39	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	15.94	-	-
2020-03-13T19:39:39	-Anonymous-	Manual testing	2⁷²	2⁷³		-	-	31.87	-	-
2020-03-13T19:39:39	-Anonymous-	Manual testing	2⁷³	2⁷⁴		-	-	63.74	-	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2005-11-01T00:00:00	ebravick	v4_computers	1DAAC6DF6C70A08B	31.26
2013-08-28T15:51:00	monst	poincare	1DAAC6DF6C70A08B	31.26

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 = 500000, B2 = 12500000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 300000, B2 = 3150000 (P-1 stage 2)

B1 = 300000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

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	<	146M	PrimeNet wavefront