M2 792 190 343 Mersenne number exponent details

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is 2 ^2792190343 - 1

has 840533047 decimal digits

takes 483,818.074 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	2⁶⁴	0.0013	50.0000%	-	-	-	-	0.0013	50.0000%
Target	2⁹⁰	89,801.7355	64.4444%	14000000	4000000000	58,080.8955	4.3297%	147,882.6310	65.9839%
Difference	-26	-89,801.7342	-14.4444%	-14000000	-4000000000	-58,080.8955	-4.3297%	-147,882.6297	-15.9839%

Known prime factors (2 factors, 95.9 bits, 0.00000344% 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
2792190343	44675045489	11	35.379	8 2³	2012-08-20	8	8	1.671e-12	0.0020	0.0041
2792190343	1670814205739988167	19	60.535	299194181 11 × 13 × 367 × 5701	2020-01-27	367	5701	6.038e-5	0.1652	0.1877

1 Composite Factors:

P-1 results:
No P-1 results for M2792190343

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2020-01-27	slaur	palvi2-rtx	2¹	2⁶⁴	1670814205739988167	60.535	19	0.001	154,565	0.003

ECM factoring results:
No ECM results for M2792190343

Lucas-Lehmer results:
No L-L results for M2792190343

PRP results:
No PRP results for M2792190343

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

10³

10⁰

10¹

10²

10³

10⁴

TF factor-bounds graph:

2⁶⁴

this exponent TF target: 90

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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