M6 978 287 Mersenne number exponent details

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is 2 ^6978287 - 1

has 2100674 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 (3 factors, 111.1 bits, 0.00159250% 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
6978287	125609167	9	26.904	9 3²	-	9	9	1.284e-12	2.846e-6	5.791e-6
6978287	20990687297	11	34.289	1504 2⁵ × 47	2008-09-08	32	47	4.347e-10	1.038e-5	2.059e-5
6978287	1077155094661553	16	49.936	77179048 2³ × 17 × 567493	2014-05-16	17	567493	1.528e-5	0.0098	0.0183

4 Composite Factors:

P-1 results:
No P-1 results for M6978287

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	?	?	20990687297	34.289	11	1.06768e-10	7.330	5.14337e-10
2014-05-16	TJAOI	Manual testing	?	?	1077155094661553	49.936	16	4.53139e-6	7.330	2.18292e-5

ECM factoring results:
No ECM results for M6978287

Lucas-Lehmer results:
No L-L results for M6978287

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-25

-p95holder- @bopoh13

b_i3-4160T

125609167

20990687297

1077155094661553

74EEC1AAFC843D__

no

2019-02-23

Yizhe Huang

vm

125609167

20990687297

1077155094661553

74EEC1AAFC843D1E

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

10⁵

10⁶

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