M4 002 079 391 Mersenne number exponent details

≡

is 2 ^4002079391 - 1

has 1204745942 decimal digits

takes 1,004,040.195 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	0.1195	54.9296%	-	-	-	-	0.1195	54.9296%
Target	2⁹²	250,613.2580	65.2174%	20000000	6000000000	125,796.0639	4.2362%	376,409.3219	66.6908%
Difference	-21	-250,613.1385	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2362%	-376,409.2024	-11.7613%

Known prime factors (3 factors, 145.7 bits, 0.00000364% 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
4002079391	8004158783	10	32.898	1 1	2012-08-20	1	1	1.433e-13	0.0004	0.0007
4002079391	6155198103359	13	42.485	769 769	2019-06-28	1	769	2.680e-10	0.0156	0.0283
4002079391	1516633677183973492897	22	70.361	189480708528 2⁴ × 3 × 941 × 4195021	2022-12-12	941	4195021	0.0665	83.467	155.29

4 Composite Factors:

P-1 results:
No P-1 results for M4002079391

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-28			2³²	2³³	8004158783	32.898	10	3.40399e-16	236,445	7.29098e-16
2019-06-28			2⁴²	2⁴³	6155198103359	42.485	13	1.21651e-10	236,445	2.60562e-10
2022-12-12	slaur	palvi2-rtx	2⁶⁸	2⁷¹	1516633677183973492897	70.361	22	0.105	2,041,410	0.214

ECM factoring results:
No ECM results for M4002079391

Lucas-Lehmer results:
No L-L results for M4002079391

PRP results:
No PRP results for M4002079391

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁷¹

2⁴³

2³³

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

JSON version of this page

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