M64203229 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	59.5899	64.8649%	575000	10350000	3.8956	3.7457%	63.4855	66.1809%	1.3161%
PrimeNet	2⁷⁰	3.7218	62.8571%	280000	12000000	3.2307	5.2157%	6.9525	64.7944%	1.9372%
GPU72	2⁷⁴	59.5899	64.8649%	400000	14000000	4.0131	3.7924%	63.6030	66.1973%	1.3325%
Difference	-	-	-	+175000	-3650000	-0.1175	-0.0468%	-0.1175	-0.0164%	-0.0164%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

59.5899

64.8649%

575000

10350000

3.8956

3.7457%

63.4855

66.1809%

1.3161%

PrimeNet

2⁷⁰

3.7218

62.8571%

280000

12000000

3.2307

5.2157%

6.9525

64.7944%

1.9372%

GPU72

2⁷⁴

59.5899

64.8649%

400000

14000000

4.0131

3.7924%

63.6030

66.1973%

1.3325%

Difference

+175000

-3650000

-0.1175

-0.0468%

-0.1175

-0.0164%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
64203229	1575354354539556339164152433	28	90.348	12268497854987607704 2³ × 53 × 191 × 2003 × 58657 × 1289411	2013-06-15	58657	1289411	7,493,085	0.4422	0.4615

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

64203229

1575354354539556339164152433

90.348

12268497854987607704
2³ × 53 × 191 × 2003 × 58657 × 1289411

2013-06-15

58657

1289411

7,493,085

0.4422

0.4615

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-06-15T21:28:00	Jwb52z	Clay	575000	10350000			1575354354539556339164152433	28	90.348	3.896	311.5	7.791	3.746%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-08-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2004-01-18T00:00:00	AxelFox	v4_computers	2¹	2⁶⁰		-	-	0.002	-	-
2022-03-30T08:08:04	LordJulius	Manual testing	2⁶⁰	2⁶³		-	-	0.022	-	-
2009-03-09T00:45:00	Sturle Sunde	gonsha.ifi	2⁶³	2⁶⁴		-	-	0.031	-	-
2009-10-03T15:01:00	unconnected	winxp-E4600	2⁶⁴	2⁶⁵		-	-	0.058	-	-
2009-10-03T19:02:00	ANONYMOUS		2⁶⁵	2⁶⁶		-	-	0.116	-	-
2009-10-04T21:20:00	Sturle Sunde	gooch.ifi	2⁶⁶	2⁶⁷		-	-	0.233	-	-
2009-10-05T04:21:00	André Jordi	macmini-aj	2⁶⁷	2⁶⁸		-	-	0.466	-	-
2009-10-09T07:37:00	David Hruska	DesktopII	2⁶⁸	2⁶⁹		-	-	0.931	-	-
2012-05-17T06:00:00	omiXorp	LLB17-990-07	2⁶⁹	2⁷⁰		-	-	1.862	-	-
2013-04-27T22:40:00	Jerry Hallett	Manual testing	2⁷⁰	2⁷¹		-	-	3.725	-	-
2013-04-27T22:40:00	Jerry Hallett	Manual testing	2⁷¹	2⁷²		-	-	7.449	-	-
2013-04-27T22:40:00	Jerry Hallett	Manual testing	2⁷²	2⁷³		-	-	14.90	-	-
2013-04-27T22:40:00	Jerry Hallett	Manual testing	2⁷³	2⁷⁴		-	-	29.80	-	-

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 = 575000, B2 = 10350000 (P-1 stage 2)

B1 = 575000 (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