M4 257 666 481 Mersenne number exponent details

≡

is 2 ^4257666481 - 1

has 1281685323 decimal digits

takes 1,152,378.827 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	1.7972	57.3333%	-	-	-	-	1.7972	57.3333%
Target	2⁹²	235,568.9811	65.2174%	20000000	6000000000	135,714.1979	4.2615%	371,283.1790	66.6996%
Difference	-17	-235,567.1839	-7.8841%	-20000000	-6000000000	-135,714.1979	-4.2615%	-371,281.3818	-9.3663%

Known prime factors:
No known factors for M4257666481

P-1 results:
No P-1 results for M4257666481

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2023-05-23	JamesHeinrich	RTX4090	2⁷¹	2⁷⁵		-	-	1.685	-	-

ECM factoring results:
No ECM results for M4257666481

Lucas-Lehmer results:
No L-L results for M4257666481

PRP results:
No PRP results for M4257666481

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