M2 497 434 223 Mersenne number exponent details

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is 2 ^2497434223 - 1

has 751802614 decimal digits

takes 385,367.975 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	0.0239	52.9412%	-	-	-	-	0.0239	52.9412%
Target	2⁹⁰	100,400.4575	64.4444%	13000000	4000000000	51,510.7435	4.2510%	151,911.2010	65.9559%
Difference	-22	-100,400.4336	-11.5033%	-13000000	-4000000000	-51,510.7435	-4.2510%	-151,911.1771	-13.0147%

Known prime factors (1 factor, 64.1 bits, 0.00000257% 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
2497434223	20351782252237558079	20	64.142	4074538193 11 × 29² × 440443	2018-05-05	841	440443	0.0020	5.5470	10.028

P-1 results:
No P-1 results for M2497434223

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2021-11-04	slaur	palvi2-rtx	2⁶⁴	2⁶⁸	20351782252237558079	64.142	20	0.022	783,450	0.046

ECM factoring results:
No ECM results for M2497434223

Lucas-Lehmer results:
No L-L results for M2497434223

PRP results:
No PRP results for M2497434223

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

10¹

10²

10³

10¹

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁶⁸

this exponent TF target: 90

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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