M3 714 142 853 Mersenne number exponent details

≡

is 2 ^3714142853 - 1

has 1118068407 decimal digits

takes 858,852.547 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	2⁷¹	0.1287	54.9296%	-	-	-	-	0.1287	54.9296%
Target	2⁹²	270,041.8898	65.2174%	18000000	5500000000	106,179.5979	4.1072%	376,221.4877	66.6460%
Difference	-21	-270,041.7610	-10.2878%	-18000000	-5500000000	-106,179.5979	-4.1072%	-376,221.3590	-11.7164%

Known prime factors:
No known factors for M3714142853

P-1 results:
No P-1 results for M3714142853

Trial Factoring results:
No TF results for M3714142853

ECM factoring results:
No ECM results for M3714142853

Lucas-Lehmer results:
No L-L results for M3714142853

PRP results:
No PRP results for M3714142853

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