M60181259 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	31.7847	64.3836%	560000	10640000	3.5729	4.1082%	35.3576	65.8468%	1.4632%
PrimeNet	2⁶⁹	1.9838	62.3188%	260000	12000000	2.8979	5.6529%	4.8817	64.4489%	2.1301%
GPU72	2⁷³	31.7847	64.3836%	400000	14000000	3.6753	4.1546%	35.4600	65.8633%	1.4797%
Difference	-	-	-	+160000	-3360000	-0.1024	-0.0464%	-0.1024	-0.0165%	-0.0165%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷³

31.7847

64.3836%

560000

10640000

3.5729

4.1082%

35.3576

65.8468%

1.4632%

PrimeNet

2⁶⁹

1.9838

62.3188%

260000

12000000

2.8979

5.6529%

4.8817

64.4489%

2.1301%

GPU72

2⁷³

31.7847

64.3836%

400000

14000000

3.6753

4.1546%

35.4600

65.8633%

1.4797%

Difference

+160000

-3360000

-0.1024

-0.0464%

-0.1024

-0.0165%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
60181259	150985799039081099694123973633	30	96.930	1254425393784808487424 2⁹ × 3 × 7 × 13 × 29 × 101 × 547361 × 5597821	2013-01-04	547361	5597821	392,708,937	2.6495	3.5884

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

60181259

150985799039081099694123973633

96.930

1254425393784808487424
2⁹ × 3 × 7 × 13 × 29 × 101 × 547361 × 5597821

2013-01-04

547361

5597821

392,708,937

2.6495

3.5884

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-01-04T04:30:00	Jwb52z	Clay	560000	10640000			150985799039081099694123973633	30	96.930	3.573	267.4	7.146	4.108%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-07-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.003	-	-
2022-03-29T18:52:40	LordJulius	Manual testing	2⁶⁰	2⁶³		-	-	0.024	-	-
2009-01-19T02:36:00	Sturle Sunde	gigotte.ifi	2⁶³	2⁶⁴		-	-	0.033	-	-
2009-01-20T20:23:00	flogger	Homei7Vista	2⁶⁴	2⁶⁵		-	-	0.062	-	-
2009-01-21T19:53:00	flogger	Homei7Vista	2⁶⁵	2⁶⁶		-	-	0.124	-	-
2009-01-22T10:29:00	S00030	vd06	2⁶⁶	2⁶⁷		-	-	0.248	-	-
2009-01-23T01:13:00	S00030	vd06	2⁶⁷	2⁶⁸		-	-	0.497	-	-
2009-06-22T03:35:00	Sturle Sunde	celair.ifi	2⁶⁸	2⁶⁹		-	-	0.993	-	-
2011-07-10T13:24:00	Piepen	C589696BF	2⁶⁹	2⁷⁰		-	-	1.987	-	-
2012-07-07T02:20:00	Craig Meyers	Manual testing	2⁷⁰	2⁷³		-	-	27.81	-	-

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 = 560000, B2 = 10640000 (P-1 stage 2)

B1 = 560000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷³

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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