M3 589 757 543 Mersenne number exponent details

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is 2 ^3589757543 - 1

has 1080624698 decimal digits

takes 830,089.884 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	0.0166	52.9412%	-	-	-	-	0.0166	52.9412%
Target	2⁹²	279,398.8571	65.2174%	18000000	5500000000	106,179.5979	4.0936%	385,578.4551	66.6412%
Difference	-24	-279,398.8405	-12.2762%	-18000000	-5500000000	-106,179.5979	-4.0936%	-385,578.4385	-13.7001%

Known prime factors (2 factors, 74.6 bits, 0.00000208% 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
3589757543	7179515087	10	32.741	1 1	2012-08-20	1	1	1.598e-13	0.0003	0.0007
3589757543	4056426023591	13	41.883	565 5 × 113	2019-08-07	5	113	1.098e-10	0.0036	0.0040

1 Composite Factors:

P-1 results:
No P-1 results for M3589757543

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-08-07			2⁴¹	2⁴²	4056426023591	41.883	13	2.81739e-11	1,685,980	0.039
2023-08-03	JamesHeinrich	RTX4090	2¹	2⁶⁸	4056426023591	41.883	13	0.017	1,685,980	0.039
2023-08-03	JamesHeinrich	RTX4090	2¹	2⁶⁸	7179515087	32.741	10	0.017	1,685,980	0.039

ECM factoring results:
No ECM results for M3589757543

Lucas-Lehmer results:
No L-L results for M3589757543

PRP results:
No PRP results for M3589757543

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

10⁰

10¹

10²

10³

TF factor-bounds graph:

2⁶⁸

2⁴²

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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