M4 140 255 853 Mersenne number exponent details

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is 2 ^4140255853 - 1

has 1246341202 decimal digits

takes 1,038,705.855 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	2⁷¹	0.1155	54.9296%	-	-	-	-	0.1155	54.9296%
Target	2⁹²	242,249.3175	65.2174%	20000000	6000000000	125,796.0639	4.2500%	368,045.3814	66.6957%
Difference	-21	-242,249.2021	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2500%	-368,045.2660	-11.7661%

Known prime factors (1 factor, 49.6 bits, 0.00000120% 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
4140255853	832315634128591	15	49.564	100515 3 × 5 × 6701	2013-02-21	5	6701	2.394e-8	0.1345	0.2480

P-1 results:
No P-1 results for M4140255853

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2023-05-12	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.101	-	-

ECM factoring results:
No ECM results for M4140255853

Lucas-Lehmer results:
No L-L results for M4140255853

PRP results:
No PRP results for M4140255853

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

10⁴

TF factor-bounds graph:

2⁷¹

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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