M1 457 966 033 Mersenne number exponent details

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is 2 ^1457966033 - 1

has 438891509 decimal digits

takes 117,852.254 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	2⁶⁸	0.0409	54.4118%	-	-	-	-	0.0409	54.4118%
Target	2⁸⁷	21,497.7177	64.3678%	8000000	2000000000	13,658.2467	4.3611%	35,155.9643	65.9218%
Difference	-19	-21,497.6768	-9.9561%	-8000000	-2000000000	-13,658.2467	-4.3611%	-35,155.9235	-11.5100%

Known prime factors (1 factor, 49.1 bits, 0.00000337% 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
1457966033	607388649347801	15	49.110	208300 2² × 5² × 2083	2013-02-28	25	2083	1.004e-7	0.0161	0.0248

P-1 results:
No P-1 results for M1457966033

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-30			2¹	2⁵⁵	607388649347801	49.110	15	3.29205e-6	239,145	0.090
2023-09-19	JamesHeinrich	RTX4090	2¹	2⁶⁸	607388649347801	49.110	15	0.041	239,145	0.090

ECM factoring results:
No ECM results for M1457966033

Lucas-Lehmer results:
No L-L results for M1457966033

PRP results:
No PRP results for M1457966033

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

TF factor-bounds graph:

2⁶⁸

2⁵⁵

this exponent TF target: 87

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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