M61506463 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	2⁷³	31.0999	64.3836%	580000	10730000	3.8592	4.1430%	34.9591	65.8592%	1.4756%
PrimeNet	2⁷⁰	3.8850	62.8571%	260000	12000000	3.0643	5.1375%	6.9492	64.7653%	1.9082%
GPU72	2⁷⁴	62.2027	64.8649%	400000	13000000	3.7007	3.7180%	65.9034	66.1712%	1.3063%
Difference	-1	-31.1028	-0.4813%	+180000	-2270000	+0.1584	+0.4250%	-30.9443	-0.3120%	-0.3120%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷³

31.0999

64.3836%

580000

10730000

3.8592

4.1430%

34.9591

65.8592%

1.4756%

PrimeNet

2⁷⁰

3.8850

62.8571%

260000

12000000

3.0643

5.1375%

6.9492

64.7653%

1.9082%

GPU72

2⁷⁴

62.2027

64.8649%

400000

13000000

3.7007

3.7180%

65.9034

66.1712%

1.3063%

Difference

-1

-31.1028

-0.4813%

+180000

-2270000

+0.1584

+0.4250%

-30.9443

-0.3120%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
61506463	38659622268048548990519	23	75.033	314272845343493 29 × 163 × 9467 × 7022777	2013-04-18	9467	7022777	127.45	1.3338	2.4341

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

61506463

38659622268048548990519

75.033

314272845343493
29 × 163 × 9467 × 7022777

2013-04-18

9467

7022777

127.45

1.3338

2.4341

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-04-18T08:39:00	Jwb52z	Clay	580000	10730000			38659622268048548990519	23	75.033	3.859	289.0	7.718	4.143%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-06-06T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2003-11-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.002	-	-
2004-04-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.010	-	-
2022-03-29T23:11:41	LordJulius	Manual testing	2⁶²	2⁶³		-	-	0.016	-	-
2009-04-10T15:34:00	cnaTb_xo4y	Manual testing	2⁶³	2⁶⁴		-	-	0.032	-	-
2009-07-24T06:36:00	unconnected	dual-E5335	2⁶⁴	2⁶⁵		-	-	0.061	-	-
2009-09-23T05:35:00	ANONYMOUS		2⁶⁵	2⁶⁶		-	-	0.121	-	-
2009-09-25T04:38:00	ANONYMOUS		2⁶⁶	2⁶⁷		-	-	0.243	-	-
2009-09-30T08:09:00	Jonathan Crombie	Athlon800	2⁶⁷	2⁶⁸		-	-	0.486	-	-
2009-10-15T05:22:00	Team Prime Rib	pakaran_laptop	2⁶⁸	2⁶⁹		-	-	0.972	-	-
2011-12-19T16:09:00	subgenius	HDO-c1	2⁶⁹	2⁷⁰		-	-	1.944	-	-
2012-09-06T01:21:00	Clown_Royal	Manual testing	2⁷⁰	2⁷¹		-	-	3.888	-	-
2013-02-06T12:51:00	MikeBerlin	Manual testing	2⁷¹	2⁷²		-	-	7.776	-	-
2013-02-06T12:52:00	MikeBerlin	Manual testing	2⁷²	2⁷³		-	-	15.55	-	-

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 = 580000, B2 = 10730000 (P-1 stage 2)

B1 = 580000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

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