M103808857 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	147.4247	64.4737%	740000	740000	4.2723	1.5188%	151.6970	65.0133%	0.5396%
PrimeNet	2⁷²	9.2124	62.5000%	450000	22000000	9.3765	5.3886%	18.5889	64.5207%	2.0207%
GPU72	2⁷⁶	147.4247	64.4737%	650000	22000000	10.4682	3.8580%	157.8930	65.8443%	1.3706%
Difference	-	-	-	+90000	-21260000	-6.1960	-2.3392%	-6.1960	-0.8310%	-0.8310%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁶

147.4247

64.4737%

740000

4.2723

1.5188%

151.6970

65.0133%

0.5396%

PrimeNet

2⁷²

9.2124

62.5000%

450000

22000000

9.3765

5.3886%

18.5889

64.5207%

2.0207%

GPU72

2⁷⁶

147.4247

64.4737%

650000

22000000

10.4682

3.8580%

157.8930

65.8443%

1.3706%

Difference

+90000

-21260000

-6.1960

-2.3392%

-6.1960

-0.8310%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
103808857	1401232317330993509639727923687	31	100.145	6749098091557801805099 29 × 53 × 9173 × 10589 × 188621 × 239671	2021-05-12	188621	239671	1.325e+9	1.1050	2.2162

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

103808857

1401232317330993509639727923687

100.145

6749098091557801805099
29 × 53 × 9173 × 10589 × 188621 × 239671

2021-05-12

188621

239671

1.325e+9

1.1050

2.2162

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-05-12T14:43:08	Jwb52z	Clay	740000	740000			1401232317330993509639727923687	31	100.145	4.272	826.7	8.545	1.519%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-17T14:36:00	linded	skynet-node049	2⁶³	2⁶⁴		-	-	0.019	-	-
2010-08-24T15:39:00	Donna Noble	PH9500	2⁶⁴	2⁶⁵		-	-	0.036	-	-
2012-05-04T22:17:00	Richard	FX5000_1	2⁶⁵	2⁶⁶		-	-	0.072	-	-
2014-05-12T04:36:00	Smok_bmv	Manual testing	2⁶⁶	2⁶⁸		-	-	0.432	-	-
2014-05-12T04:36:00	Smok_bmv	Manual testing	2⁶⁸	2⁶⁹		-	-	0.576	-	-
2014-05-12T04:36:00	Smok_bmv	Manual testing	2⁶⁹	2⁷⁰		-	-	1.152	-	-
2015-02-01T14:25:00	Justin	Manual testing	2⁷⁰	2⁷¹		-	-	2.304	-	-
2017-12-10T09:33:09	el grocco	Manual testing	2⁷¹	2⁷²		-	-	4.607	-	-
2019-09-11T10:30:00	Niels_Mache_Nextcloud	Manual testing	2⁷²	2⁷³		-	-	9.214	-	-
2019-09-11T10:30:00	Niels_Mache_Nextcloud	Manual testing	2⁷³	2⁷⁴		-	-	18.43	-	-
2021-01-22T03:19:21	RichD0	Manual testing	2⁷⁴	2⁷⁵		-	-	36.86	-	-
2021-01-27T15:17:11	tServo	Manual testing	2⁷⁵	2⁷⁶		-	-	73.71	-	-

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 = 740000 (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