M4 023 442 301 Mersenne number exponent details

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is 2 ^4023442301 - 1

has 1211176819 decimal digits

takes 1,009,399.714 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	249,282.5993	65.2174%	20000000	9600000000	197,146.2306	4.2383%	446,428.8298	66.6916%
Difference	-21	-249,282.4805	-10.2878%	-20000000	-9600000000	-197,146.2306	-4.2383%	-446,428.7110	-11.7620%

Known prime factors (2 factors, 116.3 bits, 0.00000289% 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
4023442301	22631508880202513	17	54.329	2812456 2³ × 19 × 18503	2013-10-29	19	18503	7.896e-7	0.3733	0.6849
4023442301	4366931609074087399	19	61.921	542685999 3 × 19 × 9520807	2013-10-29	19	9520807	0.0001	188.70	352.43

1 Composite Factors:

P-1 results:
No P-1 results for M4023442301

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-29			2⁵⁴	2⁵⁵	22631508880202513	54.329	17	1.93141e-7	237,540	4.13397e-7
TF systematically completed to 64 but no per-exponent detailed record exists
2022-12-06	slaur	palvi2-rtx	2⁷⁰	2⁷¹		-	-	0.059	-	-

ECM factoring results:
No ECM results for M4023442301

Lucas-Lehmer results:
No L-L results for M4023442301

PRP results:
No PRP results for M4023442301

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

10⁰

10¹

10²

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁷¹

2⁵⁵

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2023-07-11T14:45:05+00:00