M6 978 253 Mersenne number exponent details

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is 2 ^6978253 - 1

has 2100664 decimal digits

takes 1.522 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	4.2581	65.6716%	-	-	-	-	4.2581	65.6716%
Target	2⁶⁷	4.2581	65.6716%	45000	4500000	0.0910	2.2394%	4.3490	66.4404%
Difference	-	-	-	-45000	-4500000	-0.0910	-2.2394%	-0.0910	-0.7687%

Known prime factors (1 factor, 43.6 bits, 0.00062442% 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
6978253	13090797889327	14	43.574	937971 3² × 89 × 1171	1999-07-27	89	1171	1.720e-7	4.678e-5	5.727e-5

P-1 results:
No P-1 results for M6978253

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-07-27	ANONYMOUS	v4_computers	?	?	13090797889327	43.574	14	4.03448e-9	7.330	1.94356e-8

ECM factoring results:
No ECM results for M6978253

Lucas-Lehmer results:
No L-L results for M6978253

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-25

-p95holder- @bopoh13

b_i3-4160T

13090797889327

887940604D111D__

no

2019-02-17

ATH

ec2-PRPCFDC

13090797889327

887940604D111DBD

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

10³

10⁴

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