M105693659 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	2⁷⁶	144.7958	64.4737%	762000	762000	4.5316	1.5424%	149.3274	65.0216%	0.5480%
PrimeNet	2⁷²	9.0482	62.5000%	450000	22000000	9.6586	5.4002%	18.7067	64.5251%	2.0251%
GPU72	2⁷⁶	144.7958	64.4737%	700000	24000000	11.7123	3.9689%	156.5081	65.8837%	1.4100%
Difference	-	-	-	+62000	-23238000	-7.1807	-2.4265%	-7.1807	-0.8620%	-0.8620%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁶

144.7958

64.4737%

762000

4.5316

1.5424%

149.3274

65.0216%

0.5480%

PrimeNet

2⁷²

9.0482

62.5000%

450000

22000000

9.6586

5.4002%

18.7067

64.5251%

2.0251%

GPU72

2⁷⁶

144.7958

64.4737%

700000

24000000

11.7123

3.9689%

156.5081

65.8837%

1.4100%

Difference

+62000

-23238000

-7.1807

-2.4265%

-7.1807

-0.8620%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
105693659	215018688290325922746529	24	77.509	1017178751898096 2⁴ × 3 × 331 × 449² × 541 × 587	2021-08-27	201601	201601	551.36	1.1989	2.4400

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

105693659

215018688290325922746529

77.509

1017178751898096
2⁴ × 3 × 331 × 449² × 541 × 587

2021-08-27

201601

551.36

1.1989

2.4400

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-08-27T17:43:22	Jwb52z	Clay	762000	762000			215018688290325922746529	24	77.509	4.532	867.0	9.063	1.542%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-27T05:19:00	Richard	FX5000_1	2⁶³	2⁶⁴		-	-	0.019	-	-
2010-09-01T18:42:00	WPS	s1	2⁶⁴	2⁶⁵		-	-	0.035	-	-
2012-05-21T23:45:00	Richard	8F02	2⁶⁵	2⁶⁶		-	-	0.071	-	-
2013-09-06T01:31:00	SMoffat	Manual testing	2⁶⁶	2⁶⁷		-	-	0.141	-	-
2013-09-08T12:55:00	SMoffat	Manual testing	2⁶⁷	2⁶⁸		-	-	0.283	-	-
2013-09-21T03:31:00	processinfo	Manual testing	2⁶⁸	2⁶⁹		-	-	0.566	-	-
2013-09-23T05:02:00	timc995	dl580_g5b	2⁶⁹	2⁷⁰		-	-	1.131	-	-
2013-09-28T03:36:00	RMAC9.5	HP-Lisa-a1632x	2⁷⁰	2⁷¹		-	-	2.262	-	-
2015-01-07T21:32:00	Andreas_Truetsch	Manual testing	2⁷¹	2⁷²		-	-	4.525	-	-
2020-02-26T08:22:08	el grocco	Manual testing	2⁷²	2⁷³		-	-	9.050	-	-
2020-04-04T06:53:25	SRBase	Manual testing	2⁷³	2⁷⁴		-	-	18.10	-	-
2021-04-04T18:54:05	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	36.20	-	-
2021-04-04T18:54:05	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	72.40	-	-

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 = 762000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

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