M4 024 301 299 Mersenne number exponent details

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is 2 ^4024301299 - 1

has 1211435403 decimal digits

takes 1,009,615.219 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	249,229.3892	65.2174%	20000000	9600000000	197,146.2306	4.2384%	446,375.6198	66.6916%
Difference	-21	-249,229.2704	-10.2878%	-20000000	-9600000000	-197,146.2306	-4.2384%	-446,375.5010	-11.7620%

Known prime factors (2 factors, 97.0 bits, 0.00000241% 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
4024301299	2221414317049	13	41.015	276 2² × 3 × 23	2012-08-20	4	23	1.206e-10	0.0018	0.0030
4024301299	69564691996914047	17	55.949	8643077 8643077	2019-10-04	1	8643077	2.093e-6	171.30	319.94

1 Composite Factors:

P-1 results:
No P-1 results for M4024301299

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-29			2⁴¹	2⁴²	2221414317049	41.015	13	4.78369e-11	237,584	1.02387e-10
2019-10-05			2⁵⁵	2⁵⁶	69564691996914047	55.949	17	9.00187e-7	237,584	1.92670e-6
TF systematically completed to 64 but no per-exponent detailed record exists
2023-01-02	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.104	-	-

ECM factoring results:
No ECM results for M4024301299

Lucas-Lehmer results:
No L-L results for M4024301299

PRP results:
No PRP results for M4024301299

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁷¹

2⁵⁶

2⁴²

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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