M30343921 Mersenne number exponent details

Residue

Status

L-L

AC36EE3105B6204C

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	126.0834	66.2162%	630000	12285000	1.9107	3.5750%	127.9941	69.7912%	7.1047%
PrimeNet	2⁶⁷	0.9792	62.6866%	130000	5000000	0.5971	4.9154%	1.5764	67.6020%	4.9154%
GPU72	2⁷¹	15.7553	64.7887%	200000	6000000	0.7794	3.5653%	16.5347	68.3541%	3.5653%
Difference	+3	+110.3281	+1.4275%	+430000	+6285000	+1.1313	+0.0097%	+111.4594	+1.4372%	+1.4372%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

126.0834

66.2162%

630000

12285000

1.9107

3.5750%

127.9941

69.7912%

7.1047%

PrimeNet

2⁶⁷

0.9792

62.6866%

130000

5000000

0.5971

4.9154%

1.5764

67.6020%

4.9154%

GPU72

2⁷¹

15.7553

64.7887%

200000

6000000

0.7794

3.5653%

16.5347

68.3541%

3.5653%

Difference

+110.3281

+1.4275%

+430000

+6285000

+1.1313

+0.0097%

+111.4594

+1.4372%

	GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
30343921	3698826644998825609069622369492037497	37	121.476	60948396303147928856485329788 2² × 13 × 167 × 29009 × 29837 × 48353 × 76831 × 2182703	76831	2182703	2020-10-31	5.416e+9	0.2893	0.3355

GHz-days

exponent

factor

digits

bits*

min B1

min B2

date found

min. TF

min. P-1

normal P-1

30343921

3698826644998825609069622369492037497

121.476

60948396303147928856485329788
2² × 13 × 167 × 29009 × 29837 × 48353 × 76831 × 2182703

76831

2182703

2020-10-31

5.416e+9

0.2893

0.3355

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2007-04-23T00:00:00	curtisc	v4_computers	440000	440000		-		-	-	0.665	-	-	1.257%
2020-10-31T01:52:11	Architects Cubed	gpu72ng	630000	12285000	12		3698826644998825609069622369492037497	37	121.476	1.911	63.22	3.821	3.575%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-01-14T00:00:00	Jocelyn Larouche	v4_computers	?	2⁵²		-	-	1.97720e-5	-	-
2001-09-16T00:00:00	Net_Force	v4_computers	?	2⁵⁶		-	-	0.000	-	-
2003-06-30T00:00:00	AxelFox	v4_computers	?	2⁶⁰		-	-	0.003	-	-
2005-02-02T00:00:00	1997rj7	v4_computers	?	2⁶²		-	-	0.010	-	-
2005-07-17T00:00:00	ANONYMOUS	v4_computers	?	2⁶⁸		-	-	0.985	-	-
2012-04-05T11:15:00	bcp19	Manual testing	2⁶⁸	2⁶⁹		-	-	1.970	-	-
2012-04-05T17:15:00	bcp19	Manual testing	2⁶⁹	2⁷⁰		-	-	3.940	-	-
2017-08-23T10:53:42	ramgeis	Manual testing	2⁷⁰	2⁷¹		-	-	7.881	-	-
2019-12-13T19:49:05	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	15.76	-	-
2019-12-13T19:49:05	-Anonymous-	Manual testing	2⁷²	2⁷³		-	-	31.52	-	-
2020-04-16T23:51:02	-Anonymous-	Manual testing	2⁷³	2⁷⁴		-	-	63.04	-	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2007-05-12T00:00:00	curtisc	v4_computers	AC36EE3105B6204C	31.61
2012-12-25T20:43:00	arnaud	Arnaud-PC	AC36EE3105B6204C	31.61

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 = 630000, B2 = 12285000 (stage 2)

B1 = 630000 (stage 1)

B1 = 440000 (stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶²

2⁶⁰

2⁵⁶

2⁵²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

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