M9792283 Mersenne number exponent details

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is 2^9792283-1

has 2947771 decimal digits

takes 2.856 GHz-days to do one L-L test

Last-known PrimeNet details:
0 L-L tests remaining

	Residue	Status
L-L	30B74F6F6B80621F	double-checked
PRP	984A7AABF41B24__	needs double-check

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶³	0.1630	61.9048%	120000	2370000	0.1026	5.5044%	0.2656	67.4092%	4.9092%
PrimeNet	2⁶⁴	0.3635	62.5000%	40000	1200000	0.0436	3.5857%	0.4071	66.0857%	3.5857%
GPU72	2⁶⁸	6.0869	64.7059%	65000	1500000	0.0606	2.5594%	6.1475	67.2653%	2.5594%
Difference	-5	-5.9239	-2.8011%	+55000	+870000	+0.0420	+2.9450%	-5.8819	+0.1439%	+0.1439%

Known prime factors (1 factor, 125.9 bits, 0.00128580% known):

Remaining cofactor is not a probable-prime

								GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
9792283	79874783139668337067873487653341570703	38	125.909	4078455613449301713802260803397 3 × 11 × 67 × 197 × 443 × 557 × 3319 × 64879 × 88241 × 1997101	88241	1997101	2013-03-28	1.353e+10	0.0813	0.0859

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-06-17T20:11:00	Carsten Kossendey	leela	55000	866250		-		-	-	0.042	-	-	3.966%
2013-03-28T00:16:00	Nesowa	Outback	120000	2370000			79874783139668337067873487653341570703	38	125.909	0.103	5.712	0.205	5.504%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-07-04T00:00:00	ANONYMOUS	v4_computers	?	2⁶⁴		-	-	0.200	-	-

ECM factoring results:
Exponent "9792283" not found

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2000-04-27T00:00:00	ANONYMOUS	v4_computers	30B74F6F6B80621F	2.856
2003-09-09T00:00:00	ANONYMOUS	v4_computers	30B74F6F6B80621F	2.856

PRP results:

date

userid

compid

cofactors

res64

PRP

2019-10-27T11:54:25

mnd9

eileen

79874783139668337067873487653341570703

984A7AABF41B24__

no

2021-01-07T20:16:49

dcheuk

gc1

79874783139668337067873487653341570703

984A7AABF41B24E4

no

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 = 120000, B2 = 2370000 (stage 2)

B1 = 120000 (stage 1)

B1 = 55000, B2 = 866250 (stage 2)

B1 = 55000 (stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁴

2⁶³

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

Last modified: 2021-01-07T20:16:49+00:00