M105218053 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	145.4503	64.4737%	851000	851000	4.9131	1.6163%	150.3634	65.0479%	0.5742%
PrimeNet	2⁷²	9.0891	62.5000%	450000	22000000	9.3765	5.3973%	18.4655	64.5240%	2.0240%
GPU72	2⁷⁶	145.4503	64.4737%	650000	24000000	11.0973	3.9280%	156.5476	65.8692%	1.3955%
Difference	-	-	-	+201000	-23149000	-6.1842	-2.3117%	-6.1842	-0.8213%	-0.8213%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁶

145.4503

64.4737%

851000

4.9131

1.6163%

150.3634

65.0479%

0.5742%

PrimeNet

2⁷²

9.0891

62.5000%

450000

22000000

9.3765

5.3973%

18.4655

64.5240%

2.0240%

GPU72

2⁷⁶

145.4503

64.4737%

650000

24000000

11.0973

3.9280%

156.5476

65.8692%

1.3955%

Difference

+201000

-23149000

-6.1842

-2.3117%

-6.1842

-0.8213%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
105218053	3135836989363103353750473833	28	91.341	14901610987627300772 2² × 11 × 19 × 23 × 61 × 733 × 128677 × 134699	2021-07-22	128677	134699	9,441,555	0.7448	1.5119

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

105218053

3135836989363103353750473833

91.341

14901610987627300772
2² × 11 × 19 × 23 × 61 × 733 × 128677 × 134699

2021-07-22

128677

134699

9,441,555

0.7448

1.5119

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-07-22T15:33:27	mikr	Nitron	851000	851000			3135836989363103353750473833	28	91.341	4.913	837.9	9.83	1.616%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-24T20:51:00	Richard	FX5000_1	2⁶³	2⁶⁴		-	-	0.019	-	-
2010-08-30T18:45:00	WPS	s2	2⁶⁴	2⁶⁵		-	-	0.036	-	-
2012-05-10T17:05:00	subgenius	gigacare	2⁶⁵	2⁶⁶		-	-	0.071	-	-
2013-09-09T21:51:00	willmore	Manual testing	2⁶⁶	2⁶⁷		-	-	0.142	-	-
2013-09-12T23:41:00	arnaud	SRV-210	2⁶⁷	2⁶⁸		-	-	0.284	-	-
2013-09-19T01:24:00	SMoffat	Manual testing	2⁶⁸	2⁶⁹		-	-	0.568	-	-
2014-06-15T17:48:00	webbert	Manual testing	2⁶⁹	2⁷⁰		-	-	1.136	-	-
2014-11-08T16:51:00	ANONYMOUS	Manual testing	2⁷⁰	2⁷¹		-	-	2.273	-	-
2015-01-09T19:15:00	shauge	Manual testing	2⁷¹	2⁷²		-	-	4.545	-	-
2020-03-31T03:16:02	Will Hockensmith	Manual testing	2⁷²	2⁷³		-	-	9.091	-	-
2020-04-07T00:57:44	Will Hockensmith	Manual testing	2⁷³	2⁷⁴		-	-	18.18	-	-
2020-10-31T18:56:16	ktony	GPU72_TF	2⁷⁴	2⁷⁵		-	-	36.36	-	-
2021-03-20T00:44:03	RichD0	GPU72_TF	2⁷⁵	2⁷⁶		-	-	72.73	-	-

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 = 851000 (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