M65699869 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	2⁷⁵	116.4676	65.3333%	570000	8835000	3.5887	3.2859%	120.0563	66.4724%	1.1391%
PrimeNet	2⁷⁰	3.6370	62.8571%	280000	13000000	3.4224	5.3061%	7.0594	64.8280%	1.9708%
GPU72	2⁷⁴	58.2325	64.8649%	450000	15000000	4.3710	3.9188%	62.6035	66.2417%	1.3769%
Difference	+1	+58.2352	+0.4685%	+120000	-6165000	-0.7823	-0.6329%	+57.4528	+0.2307%	+0.2307%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁵

116.4676

65.3333%

570000

8835000

3.5887

3.2859%

120.0563

66.4724%

1.1391%

PrimeNet

2⁷⁰

3.6370

62.8571%

280000

13000000

3.4224

5.3061%

7.0594

64.8280%

1.9708%

GPU72

2⁷⁴

58.2325

64.8649%

450000

15000000

4.3710

3.9188%

62.6035

66.2417%

1.3769%

Difference

+58.2352

+0.4685%

+120000

-6165000

-0.7823

-0.6329%

+57.4528

+0.2307%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2014-01-29T11:23:00	Chih-Wei Huang	i7_ics1	570000	8835000		-		-	-	3.589	-	-	3.286%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2014-01-29T11:23:00

Chih-Wei Huang

i7_ics1

570000

8835000

3.589

-

-

3.286%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-11-16T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2004-07-13T00:00:00	1997rj7	v4_computers	2¹	2⁶⁰		-	-	0.002	-	-
2016-03-28T13:03:00	Mark Rose	Manual testing	2⁶⁰	2⁶³		-	-	0.022	-	-
2009-01-20T06:46:00	Wojciech Florek	Manual testing	2⁶³	2⁶⁴		-	-	0.030	-	-
2009-03-23T22:51:00	ckprime	Gonzales	2⁶⁴	2⁶⁵		-	-	0.057	-	-
2009-03-25T18:03:00	Sturle Sunde	giasha.ifi	2⁶⁵	2⁶⁶		-	-	0.114	-	-
2009-03-26T05:31:00	Sturle Sunde	giasha.ifi	2⁶⁶	2⁶⁷		-	-	0.227	-	-
2009-03-29T15:07:00	werdwerdus	i7_factoring	2⁶⁷	2⁶⁸		-	-	0.455	-	-
2009-10-19T13:37:00	eon_blue_apocalypse	ASR1927	2⁶⁸	2⁶⁹		-	-	0.910	-	-
2012-01-23T06:43:00	GrunwalderGIMP	compute-0-7	2⁶⁹	2⁷⁰		-	-	1.820	-	-
2013-06-01T16:58:00	TheJudger	Manual testing	2⁷⁰	2⁷¹		-	-	3.640	-	-
2013-06-01T16:58:00	TheJudger	Manual testing	2⁷¹	2⁷²		-	-	7.279	-	-
2013-06-01T16:58:00	TheJudger	Manual testing	2⁷²	2⁷³		-	-	14.56	-	-
2013-07-24T22:42:00	Jerry Hallett	Manual testing	2⁷³	2⁷⁴		-	-	29.12	-	-
2021-08-09T15:12:17	tottenhoff	Manual testing	2⁷⁴	2⁷⁵		-	-	58.24	-	-

date	userid	compid	res64	spent (GHz-days)
2014-04-18T21:00:00	curtisc	wd-102--18l	9CE9ADBD750C50__	159.4

date

userid

compid

res64

spent (GHz-days)

2014-04-18T21:00:00

curtisc

wd-102--18l

9CE9ADBD750C50__

159.4

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 = 570000, B2 = 8835000 (P-1 stage 2)

B1 = 570000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

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