M4 058 526 499 Mersenne number exponent details

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is 2 ^4058526499 - 1

has 1221738215 decimal digits

takes 1,018,201.625 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	0.1178	54.9296%	-	-	-	-	0.1178	54.9296%
Target	2⁹²	247,127.6595	65.2174%	20000000	6000000000	125,796.0639	4.2419%	372,923.7234	66.6928%
Difference	-21	-247,127.5417	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2419%	-372,923.6056	-11.7633%

Known prime factors (3 factors, 112.8 bits, 0.00000278% 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
4058526499	40585264991	11	35.240	5 5	2012-08-20	1	5	1.141e-12	0.0004	0.0007
4058526499	332799172919	12	38.276	41 41	2019-07-02	1	41	9.903e-12	0.0012	0.0015
4058526499	649364239841	12	39.240	80 2⁴ × 5	2019-07-02	16	16	2.148e-11	0.0058	0.0118

4 Composite Factors:

P-1 results:
No P-1 results for M4058526499

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-07-02			2³⁵	2³⁶	40585264991	35.240	11	1.34266e-14	239,341	2.87057e-14
2019-07-02			2³⁸	2³⁹	332799172919	38.276	12	8.80785e-13	239,341	1.88309e-12
2019-07-02			2³⁹	2⁴⁰	649364239841	39.240	12	3.43721e-12	239,341	7.34865e-12
2023-01-29	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.103	-	-

ECM factoring results:
No ECM results for M4058526499

Lucas-Lehmer results:
No L-L results for M4058526499

PRP results:
No PRP results for M4058526499

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

TF factor-bounds graph:

2⁷¹

2⁴⁰

2³⁹

2³⁶

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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