M6 988 307 Mersenne number exponent details

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is 2 ^6988307 - 1

has 2103691 decimal digits

takes 1.524 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

	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
Actual	2⁶⁷	4.2519	65.6716%	-	-	-	-	4.2519	65.6716%
Target	2⁶⁷	4.2519	65.6716%	45000	900000	0.0290	2.2399%	4.2809	66.4406%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2399%	-0.0290	-0.7689%

Known prime factors (2 factors, 110.5 bits, 0.00158146% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
6988307	404661508824799	15	48.524	28952757 3² × 523 × 6151	-	523	6151	9.822e-6	0.0003	0.0003
6988307	4591414529820388841	19	61.994	328506928060 2² × 5 × 74797 × 219599	2016-06-18	74797	219599	0.0740	0.0261	0.0481

1 Composite Factors:

P-1 results:
No P-1 results for M6988307

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-06-18	TJAOI	Manual testing	2⁶¹	2⁶²*	4591414529820388841	61.994	19	0.030	7.241	0.143

ECM factoring results:
No ECM results for M6988307

Lucas-Lehmer results:
No L-L results for M6988307

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-29

Oliver Kruse

GTX-1

404661508824799

4591414529820388841

A38F16A2E74CA5__

no

2019-02-20

Perducci

404661508824799

4591414529820388841

A38F16A2E74CA554

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

10¹

10²

10³

10⁴

10⁵

10¹

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁶²

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

Last modified: 2023-04-26T21:34:10+00:00