M4 273 597 739 Mersenne number exponent details

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is 2 ^4273597739 - 1

has 1286481109 decimal digits

takes 1,156,690.777 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	0.1119	54.9296%	-	-	-	-	0.1119	54.9296%
Target	2⁹²	234,690.8193	65.2174%	22000000	9600000000	213,431.9719	4.3016%	448,122.7912	66.7136%
Difference	-21	-234,690.7075	-10.2878%	-22000000	-9600000000	-213,431.9719	-4.3016%	-448,122.6793	-11.7840%

Known prime factors (2 factors, 98.5 bits, 0.00000231% 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
4273597739	8547195479	10	32.993	1 1	2012-08-20	1	1	1.342e-13	0.0004	0.0008
4273597739	53071526851897097521	20	65.525	6209232840 2³ × 3² × 5 × 2333 × 7393	2021-01-24	2333	7393	0.0030	1.0238	1.8634

1 Composite Factors:

P-1 results:
No P-1 results for M4273597739

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2021-01-24	slaur	nocebo-1650	2⁶⁴	2⁶⁸	53071526851897097521	65.525	20	0.013	2,352,220	0.027
Missing TF 68 - 69
Missing TF 69 - 70
2022-12-06	slaur	palvi2-rtx	2⁷⁰	2⁷¹		-	-	0.056	-	-

ECM factoring results:
No ECM results for M4273597739

Lucas-Lehmer results:
No L-L results for M4273597739

PRP results:
No PRP results for M4273597739

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

10⁴

10⁰

10¹

10²

10³

10⁴

TF factor-bounds graph:

2⁷¹

2⁶⁸

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2023-07-11T14:45:05+00:00