M3 997 473 937 Mersenne number exponent details

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is 2 ^3997473937 - 1

has 1203359562 decimal digits

takes 1,002,884.781 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	0.1196	54.9296%	-	-	-	-	0.1196	54.9296%
Target	2⁹²	250,901.9873	65.2174%	20000000	6000000000	125,796.0639	4.2357%	376,698.0512	66.6907%
Difference	-21	-250,901.8677	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2357%	-376,697.9316	-11.7611%

Known prime factors (1 factor, 70.5 bits, 0.00000176% 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
3997473937	1656159812040159027631	22	70.488	207150795495 3³ × 5 × 7² × 31315313	2018-09-17	49	31315313	0.1046	620.67	1,159.2

P-1 results:
No P-1 results for M3997473937

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2021-12-22	slaur	palvi2-rtx	2⁶⁹	2⁷¹	1656159812040159027631	70.488	22	0.090	2,039,100	0.184

ECM factoring results:
No ECM results for M3997473937

Lucas-Lehmer results:
No L-L results for M3997473937

PRP results:
No PRP results for M3997473937

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

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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