M4 023 442 307 Mersenne number exponent details

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is 2 ^4023442307 - 1

has 1211176821 decimal digits

takes 1,009,399.716 GHz-days to do one PRP test

0 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	0.1188	54.9296%	-	-	-	-	0.1188	54.9296%
Target	2⁹²	249,282.5989	65.2174%	20000000	6000000000	125,796.0639	4.2383%	375,078.6628	66.6916%
Difference	-21	-249,282.4801	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2383%	-375,078.5440	-11.7620%

Known prime factors (1 factor, 50.3 bits, 0.00000125% known):

Remaining cofactor is PRP status unknown

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4023442307	1379694695262599	16	50.293	171457 11² × 13 × 109	2013-09-06	121	121	4.589e-8	0.0440	0.0896

P-1 results:
No P-1 results for M4023442307

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-29			2⁵⁰	2⁵¹	1379694695262599	50.293	16	8.60970e-9	2,049,460	0.135
2023-10-27	VladimirLapin	GTX1080	2³¹	2⁷⁰	1379694695262599	50.293	16	0.059	2,049,460	0.135
2022-12-06	slaur	palvi2-rtx	2⁷⁰	2⁷¹		-	-	0.059	-	-

ECM factoring results:
No ECM results for M4023442307

Lucas-Lehmer results:
No L-L results for M4023442307

PRP results:
No PRP results for M4023442307

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

10¹

10²

10³

10¹

10²

10³

TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁵¹

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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Last modified: 2023-10-27T18:34:25+00:00