M7 486 877 Mersenne number exponent details

≡

is 2 ^7486877 - 1

has 2253775 decimal digits

takes 1.633 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	3.9688	65.6716%	-	-	-	-	3.9688	65.6716%
Target	2⁶⁷	3.9688	65.6716%	50000	5500000	0.1097	2.4367%	4.0785	66.5081%
Difference	-	-	-	-50000	-5500000	-0.1097	-2.4367%	-0.1097	-0.8365%

Known prime factors (3 factors, 99.1 bits, 0.00132309% 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
7486877	179685049	9	27.421	12 2² × 3	-	4	4	2.394e-12	1.265e-6	2.574e-6
7486877	718740193	9	29.421	48 2⁴ × 3	2008-09-08	16	16	9.652e-12	5.059e-6	1.030e-5
7486877	5110841715281	13	42.217	341320 2³ × 5 × 7 × 23 × 53	2008-09-08	23	53	1.470e-7	7.789e-6	1.480e-5

4 Composite Factors:

P-1 results:
No P-1 results for M7486877

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08	Will Edgington	Manual testing	?	?	5110841715281	42.217	13	6.87712e-8	7.268	3.06156e-7
2008-09-08	Will Edgington	Manual testing	?	?	718740193	29.421	9	9.92504e-14	7.268	4.41843e-13

ECM factoring results:
No ECM results for M7486877

Lucas-Lehmer results:
No L-L results for M7486877

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-03-22

ATH

xps

179685049

718740193

5110841715281

E2BBDDFB6A5300__

no

2019-06-20

kkmrkkblmbrbk

c5.large

179685049

718740193

5110841715281

E2BBDDFB6A5300CB

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

10⁰

10¹

10²

10⁰

10¹

10²

TF factor-bounds graph:

2

this exponent TF target: 67

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

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Last modified: 2023-10-02T12:12:48+00:00