M4 051 575 431 Mersenne number exponent details

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is 2 ^4051575431 - 1

has 1219645735 decimal digits

takes 1,016,457.744 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	247,551.6430	65.2174%	20000000	6000000000	125,796.0639	4.2412%	373,347.7069	66.6926%
Difference	-21	-247,551.5250	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2412%	-373,347.5889	-11.7630%

Known prime factors (1 factor, 70.8 bits, 0.00000175% 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
4051575431	2089563461846409444839	22	70.824	257870487349 17 × 15168852197	2019-05-22	17	15168852197	0.1080	300,639	561,510

P-1 results:
No P-1 results for M4051575431

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2023-01-23	slaur	palvi2-rtx	2⁶⁸	2⁷¹	2089563461846409444839	70.824	22	0.103	2,066,250	0.212

ECM factoring results:
No ECM results for M4051575431

Lucas-Lehmer results:
No L-L results for M4051575431

PRP results:
No PRP results for M4051575431

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

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

2⁷¹

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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