M9 697 Mersenne number exponent details

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M9697

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is 2 ⁹⁶⁹⁷ - 1

has 2920 decimal digits

takes 0.000 GHz-days to do one PRP test

Has been fully factored.

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	-unknown-	-unknown-
Cofactor is a certified prime

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown			-	-	-	-	0.0000	0.0000%
Target	2⁴⁴	0.0002	68.1818%	500	50000	0.0000	1.2519%	0.0002	68.5802%
Difference	-44	-0.0002	-68.1818%	-500	-50000	0.0000	-1.2519%	-0.0002	-68.5802%

Known prime factors (3 factors, 9,697.0 bits, 100.00000000% known):

Remaining cofactor is a certified-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
9697	724126946527	12	39.397	37337679 3⁵ × 19 × 8087	-	243	8087	1.321e-5	1.185e-7	1.455e-7
9697	19092282046942032847	20	64.050	984442716661959 3² × 109382524073551	-	9	109382524073551	490.40	1,053.7	1,968.1
9697	hide decimal representation P2888 click to show decimal representation	2,888	9,593.553

exponent	prime factors	composite factor	digits	bits*
9697	724126946527 19092282046942032847	13825235900884395523268246572369	32	103.447

1 Composite Factors:

P-1 results:
No P-1 results for M9697

Trial Factoring results:
No TF results for M9697

ECM factoring results:

Total ECM effort:

0.000 GHz-days

Digits	B1	Complete	FacMiss

ECM Summary

B1	B2	factor	curves	GHz-days
		19092282046942032847	1	0.00000e+0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-05	ANONYMOUS	Manual testing			19092282046942032847	64.050		1		1	-

Lucas-Lehmer results:
No L-L results for M9697

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-09

kkmrkkblmbrbk

c4.large

724126946527

19092282046942032847

PRP

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

10³

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

JSON version of this page

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

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront