M76106587 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	2⁷⁴	50.2698	63.5135%	690000	12937500	5.4771	4.0895%	55.7469	65.0056%	1.4921%
PrimeNet	2⁷⁰	3.1397	61.4286%	320000	14000000	4.2989	5.5673%	7.4386	63.5760%	2.1474%
GPU72	2⁷⁴	50.2698	63.5135%	500000	18000000	5.8651	4.1905%	56.1350	65.0425%	1.5290%
Difference	-	-	-	+190000	-5062500	-0.3881	-0.1010%	-0.3881	-0.0368%	-0.0368%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

50.2698

63.5135%

690000

12937500

5.4771

4.0895%

55.7469

65.0056%

1.4921%

PrimeNet

2⁷⁰

3.1397

61.4286%

320000

14000000

4.2989

5.5673%

7.4386

63.5760%

2.1474%

GPU72

2⁷⁴

50.2698

63.5135%

500000

18000000

5.8651

4.1905%

56.1350

65.0425%

1.5290%

Difference

+190000

-5062500

-0.3881

-0.1010%

-0.3881

-0.0368%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
76106587	2253706211548544927116376383	28	90.864	14806249369378138893 3 × 13 × 31 × 46489 × 366733 × 718321	2015-04-28	366733	718321	6,527,231	1.5572	3.0118

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

76106587

2253706211548544927116376383

90.864

14806249369378138893
3 × 13 × 31 × 46489 × 366733 × 718321

2015-04-28

366733

718321

6,527,231

1.5572

3.0118

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2015-04-29T01:35:00	Jwb52z	Clay	690000	12937500			2253706211548544927116376383	28	90.864	5.477	423.6	10.95	4.090%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-08-10T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	1.57664e-5	-	-
2003-10-08T00:00:00	markr	v4_computers	2¹	2⁶²		-	-	0.008	-	-
2008-03-03T00:00:00	1997rj7	v4_computers	2¹	2⁶⁴		-	-	0.047	-	-
2010-08-31T14:15:00	tmorrow	Mordor	2⁶⁴	2⁶⁵		-	-	0.049	-	-
2010-10-31T11:40:00	DinKeyToy	Phenom_II_955	2⁶⁵	2⁶⁶		-	-	0.098	-	-
2010-11-05T13:27:00	seekua	seekua-home	2⁶⁶	2⁶⁷		-	-	0.196	-	-
2010-11-08T18:56:00	seekua	seekua-home	2⁶⁷	2⁶⁸		-	-	0.393	-	-
2010-11-14T02:18:00	seekua	seekua-home	2⁶⁸	2⁶⁹		-	-	0.786	-	-
2010-11-28T16:00:00	enricof	enricof	2⁶⁹	2⁷⁰		-	-	1.571	-	-
2012-06-10T21:46:00	DRH	Manual testing	2⁷⁰	2⁷¹		-	-	3.142	-	-
2012-06-10T21:46:00	DRH	Manual testing	2⁷¹	2⁷²		-	-	6.284	-	-
2012-06-10T21:46:00	DRH	Manual testing	2⁷²	2⁷³		-	-	12.57	-	-
2015-04-27T09:00:00	Tim Sorbera	Manual testing	2⁷³	2⁷⁴		-	-	25.14	-	-

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 = 690000, B2 = 12937500 (P-1 stage 2)

B1 = 690000 (P-1 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	<	146M	PrimeNet wavefront