M4 051 575 457 Mersenne number exponent details

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is 2 ^4051575457 - 1

has 1219645743 decimal digits

takes 1,016,457.750 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	0.1180	54.9296%	-	-	-	-	0.1180	54.9296%
Target	2⁹²	247,551.6414	65.2174%	20000000	9600000000	197,146.2306	4.2412%	444,697.8720	66.6926%
Difference	-21	-247,551.5235	-10.2878%	-20000000	-9600000000	-197,146.2306	-4.2412%	-444,697.7540	-11.7630%

Known prime factors (3 factors, 145.0 bits, 0.00000358% 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
4051575457	24309452743	11	34.501	3 3	2012-08-20	1	3	5.689e-13	0.0004	0.0007
4051575457	463816255166447	15	48.721	57239 7 × 13 × 17 × 37	2019-07-01	17	37	1.188e-8	0.0066	0.0126
4051575457	3977995605440514401	19	61.787	490919600 2⁴ × 5² × 1227299	2020-01-06	25	1227299	9.026e-5	24.333	45.431

4 Composite Factors:

P-1 results:
No P-1 results for M4051575457

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-07-01			2³⁴	2³⁵	24309452743	34.501	11	4.03489e-15	238,984	8.62838e-15
2019-07-01			2⁴⁸	2⁴⁹	463816255166447	48.721	15	2.62227e-9	238,984	5.60758e-9
2020-01-06	slaur	palvi2-rtx	2¹	2⁶⁴	3977995605440514401	61.787	19	0.001	223,512	0.002
Missing TF 64 - 65
Missing TF 65 - 66
Missing TF 66 - 67
Missing TF 67 - 68
2023-01-23	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.103	-	-

ECM factoring results:
No ECM results for M4051575457

Lucas-Lehmer results:
No L-L results for M4051575457

PRP results:
No PRP results for M4051575457

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

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10⁰

10¹

10²

10³

10⁴

10⁵

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10⁷

TF factor-bounds graph:

2⁷¹

2⁶⁴

2⁴⁹

2³⁵

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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