M4 257 666 379 Mersenne number exponent details

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is 2 ^4257666379 - 1

has 1281685292 decimal digits

takes 1,152,378.799 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	235,568.9868	65.2174%	20000000	6000000000	135,714.1979	4.2615%	371,283.1847	66.6996%
Difference	-17	-235,567.1895	-7.8841%	-20000000	-6000000000	-135,714.1979	-4.2615%	-371,281.3875	-9.3663%

Known prime factors:
No known factors for M4257666379

P-1 results:
No P-1 results for M4257666379

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 M4257666379

Lucas-Lehmer results:
No L-L results for M4257666379

PRP results:
No PRP results for M4257666379

TF factor-bounds graph:

2⁷⁵

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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