M9 365 897 Mersenne number exponent details

≡

is 2 ^9365897 - 1

has 2819416 decimal digits

takes 2.589 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	3.1726	64.1791%	-	-	-	-	3.1726	64.1791%
Target	2⁶⁸	6.3640	64.7059%	60000	1400000	0.0533	2.4584%	6.4173	65.5736%
Difference	-1	-3.1915	-0.5268%	-60000	-1400000	-0.0533	-2.4584%	-3.2448	-1.3944%

Known prime factors (3 factors, 112.7 bits, 0.00120360% 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
9365897	56195383	8	25.744	3 3	-	1	3	4.776e-13	4.444e-7	8.156e-7
9365897	10704096363361	14	43.283	571440 2⁴ × 3 × 5 × 2381	2008-11-23	16	2381	2.112e-7	5.805e-5	9.708e-5
9365897	14300507152391	14	43.701	763435 5 × 179 × 853	2008-09-30	179	853	1.559e-7	8.645e-5	0.0001

4 Composite Factors:

P-1 results:
No P-1 results for M9365897

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-30	markr	Manual testing	?	?	14300507152391	43.701	14	3.07368e-8	11.59	1.37671e-7
2008-11-23	Will Edgington	Manual testing	?	?	10704096363361	43.283	14	8.61171e-8	11.59	3.85722e-7

ECM factoring results:
No ECM results for M9365897

Lucas-Lehmer results:
No L-L results for M9365897

PRP results:

date

userid

compid

cofactors

res64

PRP

2019-08-31

mnd9

office2

56195383

10704096363361

14300507152391

60610E46D1C0C0__

no

2020-11-19

marssystems

system11

56195383

10704096363361

14300507152391

60610E46D1C0C08D

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

10³

10⁰

10¹

10²

10³

10⁴

TF factor-bounds graph:

2

this exponent TF target: 68

TF double-checked to: 67.7

2⁵⁰

2⁶⁰

2⁷⁰

Last modified: 2020-11-19T08:41:22+00:00