M998 364 259 Mersenne number exponent details

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M998364259

<<<

is 2 ^998364259 - 1

has 300537589 decimal digits

takes 47,352.971 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	2⁷²	0.9579	58.3333 %	-	-	-	-	0.9579	58.3333 %
Target	2⁸⁵	7,848.5736	64.7059 %	5500000	1400000000	5,603.4695	4.4839 %	13,452.0432	66.2884 %
Difference	-13	-7,847.6157	-6.3725 %	-5500000	-1400000000	-5,603.4695	-4.4839 %	-13,451.0853	-7.9551 %

Known prime factors (1 factor, 72.0 bits, 0.00000721% known):

Remaining cofactor is PRP status unknown

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
998364259	4686487497733361943263	22	71.989	2347082968709 263 × 6761 × 1319963	2020-06-14	6761	1319963	0.7680	5.3856	9.2376

P-1 results:
No P-1 results for M998364259

Trial Factoring results:

			Bits		Factor
date	userid	compid	from	to	factor	bits*	digits	GHz-days
2010-08-11	linded	skynet-node050	2⁶⁴	2⁶⁵				0.004
2010-11-03	lindee	quad	2⁶⁵	2⁶⁶				0.007
2010-12-11	lindee	d1jcqfj1	2⁶⁶	2⁶⁷				0.015
2011-04-10	lindee	Manual testing	2⁶⁷	2⁶⁹				0.090
2012-01-10	lindee	Manual testing	2⁶⁹	2⁷¹				0.359
2020-06-14	ViliamF	Manual testing	2⁷¹	2⁷²	4686487497733361943263	71.989	22	0.474

ECM factoring results:
No ECM results for M998364259

Lucas-Lehmer results:
No L-L results for M998364259

PRP results:
No PRP results for M998364259

CERT results:
No CERT results for M998364259

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

10²

10³

10⁴

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁷²

2⁷¹

2⁶⁹

2⁶⁷

2⁶⁶

2⁶⁵

this exponent TF target: 85

TF double-checked to: 67

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

JSON version of this page

Last modified: 2024-04-17T15:19:26+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