M4 051 575 469 Mersenne number exponent details

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is 2 ^4051575469 - 1

has 1219645746 decimal digits

takes 1,016,457.753 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	247,551.6407	65.2174%	20000000	6000000000	125,796.0639	4.2412%	373,347.7046	66.6926%
Difference	-21	-247,551.5227	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2412%	-373,347.5866	-11.7630%

Known prime factors (1 factor, 47.5 bits, 0.00000117% 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
4051575469	195253525002049	15	47.472	24096 2⁵ × 3 × 251	2012-12-23	32	251	6.346e-9	0.0160	0.0237

P-1 results:
No P-1 results for M4051575469

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-07-01			2⁴⁷	2⁴⁸	195253525002049	47.472	15	1.71880e-9	238,984	3.67555e-9
2023-01-23	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.103	-	-

ECM factoring results:
No ECM results for M4051575469

Lucas-Lehmer results:
No L-L results for M4051575469

PRP results:
No PRP results for M4051575469

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

TF factor-bounds graph:

2⁷¹

2⁴⁸

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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