M4 031 048 033 Mersenne number exponent details

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is 2 ^4031048033 - 1

has 1213466372 decimal digits

takes 1,011,307.838 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	1.8982	57.3333%	-	-	-	-	1.8982	57.3333%
Target	2⁹²	248,812.2559	65.2174%	20000000	6000000000	125,796.0639	4.2391%	374,608.3198	66.6919%
Difference	-17	-248,810.3577	-7.8841%	-20000000	-6000000000	-125,796.0639	-4.2391%	-374,606.4216	-9.3585%

Known prime factors:
No known factors for M4031048033

P-1 results:
No P-1 results for M4031048033

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2023-01-04	yuki0831	RTX4090 inside	2⁷¹	2⁷²		-	-	0.119	-	-
2023-01-12	ramgeis	r4mg31s	2⁷²	2⁷³		-	-	0.237	-	-
2023-01-12	ramgeis	r4mg31s	2⁷³	2⁷⁴		-	-	0.475	-	-
2023-01-12	ramgeis	r4mg31s	2⁷⁴	2⁷⁵		-	-	0.949	-	-

ECM factoring results:
No ECM results for M4031048033

Lucas-Lehmer results:
No L-L results for M4031048033

PRP results:
No PRP results for M4031048033

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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