M3 575 344 229 Mersenne number exponent details

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is 2 ^3575344229 - 1

has 1076285858 decimal digits

takes 757,070.864 GHz-days to do one PRP test

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	2⁶⁸	0.0167	52.9412%	-	-	-	-	0.0167	52.9412%
Target	2⁹²	280,525.2000	65.2174%	18000000	5500000000	97,229.8786	4.0920%	377,755.0786	66.6407%
Difference	-24	-280,525.1833	-12.2762%	-18000000	-5500000000	-97,229.8786	-4.0920%	-377,755.0619	-13.6995%

Known prime factors (1 factor, 47.1 bits, 0.00000132% 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
3575344229	150107252110337	15	47.093	20992 2⁹ × 41	2012-12-25	512	512	1.039e-8	0.1572	0.3199

P-1 results:
No P-1 results for M3575344229

Trial Factoring results:
No TF results for M3575344229

ECM factoring results:
No ECM results for M3575344229

Lucas-Lehmer results:
No L-L results for M3575344229

PRP results:
No PRP results for M3575344229

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

10¹

10²

10³

10¹

10²

10³

TF factor-bounds graph:

2⁶⁸

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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