M4 284 709 789 Mersenne number exponent details

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is 2 ^4284709789 - 1

has 1289826170 decimal digits

takes 1,159,698.361 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	2⁷²	0.2232	55.5556%	-	-	-	-	0.2232	55.5556%
Target	2⁹²	234,082.1676	65.2174%	22000000	6000000000	136,456.3469	4.3027%	370,538.5144	66.7140%
Difference	-20	-234,081.9444	-9.6618%	-22000000	-6000000000	-136,456.3469	-4.3027%	-370,538.2913	-11.1584%

Known prime factors (1 factor, 71.3 bits, 0.00000166% 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
4284709789	2952009292635108487151	22	71.322	344481824675 5² × 31 × 43 × 47 × 219937	2022-05-20	47	219937	0.1847	4.7202	8.7834

P-1 results:
No P-1 results for M4284709789

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2022-05-20	kotenok2000	DESKTOP-KK4CCE2	2⁷¹	2⁷²	2952009292635108487151	71.322	22	0.112	2,358,240	0.228

ECM factoring results:
No ECM results for M4284709789

Lucas-Lehmer results:
No L-L results for M4284709789

PRP results:
No PRP results for M4284709789

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷²

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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