M4 058 526 421 Mersenne number exponent details

≡

is 2 ^4058526421 - 1

has 1221738191 decimal digits

takes 1,018,201.605 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	0.1178	54.9296%	-	-	-	-	0.1178	54.9296%
Target	2⁹²	247,127.6643	65.2174%	20000000	6000000000	125,796.0639	4.2419%	372,923.7282	66.6928%
Difference	-21	-247,127.5465	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2419%	-372,923.6104	-11.7633%

Known prime factors (1 factor, 60.6 bits, 0.00000149% 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
4058526421	1709330611715333777	19	60.568	210585128 2³ × 13 × 937 × 2161	2014-02-26	937	2161	4.397e-5	0.3651	0.6937

P-1 results:
No P-1 results for M4058526421

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2023-01-29	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.103	-	-

ECM factoring results:
No ECM results for M4058526421

Lucas-Lehmer results:
No L-L results for M4058526421

PRP results:
No PRP results for M4058526421

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

10¹

10²

10³

10¹

10²

10³

10⁴

TF factor-bounds graph:

2⁷¹

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