M4 004 213 041 Mersenne number exponent details

≡

is 2 ^4004213041 - 1

has 1205388235 decimal digits

takes 1,004,575.485 GHz-days to do one PRP test

-unknown- 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	2⁷⁵	1.9110	57.3333%	-	-	-	-	1.9110	57.3333%
Target	2⁹²	250,479.7184	65.2174%	20000000	6000000000	125,796.0639	4.2364%	376,275.7823	66.6909%
Difference	-17	-250,477.8074	-7.8841%	-20000000	-6000000000	-125,796.0639	-4.2364%	-376,273.8713	-9.3576%

Known prime factors:
No known factors for M4004213041

P-1 results:
No P-1 results for M4004213041

Trial Factoring results:
No TF results for M4004213041

ECM factoring results:
No ECM results for M4004213041

Lucas-Lehmer results:
No L-L results for M4004213041

PRP results:
No PRP results for M4004213041

TF factor-bounds graph:

2⁷⁵

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