M3 997 473 833 Mersenne number exponent details

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is 2 ^3997473833 - 1

has 1203359531 decimal digits

takes 1,002,884.755 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	2⁶⁹	0.0299	53.6232%	-	-	-	-	0.0299	53.6232%
Target	2⁹²	250,901.9938	65.2174%	20000000	6000000000	125,796.0639	4.2357%	376,698.0577	66.6907%
Difference	-23	-250,901.9639	-11.5942%	-20000000	-6000000000	-125,796.0639	-4.2357%	-376,698.0278	-13.0675%

Known prime factors (1 factor, 50.0 bits, 0.00000125% 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
3997473833	1117597744334809	16	49.989	139788 2² × 3² × 11 × 353	2013-02-23	11	353	3.431e-8	0.0108	0.0132

P-1 results:
No P-1 results for M3997473833

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2020-11-05	ramgeis	r4mg31s	2¹	2⁶⁹	1117597744334809	49.989	16	3.43052e-8	2,054,780	7.02870e-8

ECM factoring results:
No ECM results for M3997473833

Lucas-Lehmer results:
No L-L results for M3997473833

PRP results:
No PRP results for M3997473833

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:

2⁶⁹

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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