M4 031 697 493 Mersenne number exponent details

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is 2 ^4031697493 - 1

has 1213661879 decimal digits

takes 1,011,470.774 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	0.1186	54.9296%	-	-	-	-	0.1186	54.9296%
Target	2⁹²	248,772.1751	65.2174%	20000000	6000000000	125,796.0639	4.2392%	374,568.2390	66.6919%
Difference	-21	-248,772.0566	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2392%	-374,568.1204	-11.7623%

Known prime factors (1 factor, 43.1 bits, 0.00000107% 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
4031697493	9700264168159	13	43.141	1203 3 × 401	2012-08-20	3	401	5.418e-10	0.0090	0.0148

P-1 results:
No P-1 results for M4031697493

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-30			2⁴³	2⁴⁴	9700264168159	43.141	13	2.51202e-10	237,964	5.37525e-10
2023-01-07	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.104	-	-

ECM factoring results:
No ECM results for M4031697493

Lucas-Lehmer results:
No L-L results for M4031697493

PRP results:
No PRP results for M4031697493

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

TF factor-bounds graph:

2⁷¹

2⁴⁴

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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