M24793193 Mersenne number exponent details

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M24793193

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is 2 ^24793193 - 1

has 7463495 decimal digits

takes 20.110 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- 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	Prob over default TF
Actual	2⁶⁷	1.1985	62.6866%	-	-	-	-	1.1985	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5957	62.1212%	110000	4000000	0.3786	4.9720%	0.9743	64.0045%	1.8833%
GPU72	2⁷⁰	9.6378	64.2857%	180000	5000000	0.5206	3.6561%	10.1583	65.5915%	1.3058%
Difference	-3	-8.4393	-1.5991%	-180000	-5000000	-0.5206	-3.6561%	-8.9598	-2.9049%	-2.9049%

Known prime factors (2 factors, 125.4 bits, 0.00050591% 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
24793193	1898823141369709727	19	60.720	38293235191 38293235191	2003-08-25	1	38293235191	0.0065	2,453.7	4,582.9
24793193	30227135572953722399	20	64.712	609585372343 17 × 23 × 131 × 11901083	2017-12-26	131	11901083	0.2624	0.7627	1.4243

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
24793193	1898823141369709727 30227135572953722399	57395984523244087853979944550768075073	38	125.432

P-1 results:
No P-1 results for M24793193

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-08-25T00:00:00	Architects Cubed	v4_computers	?	?	1898823141369709727	60.720	19	0.000	41.56	0.001
2001-09-16T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-12-22T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2003-08-25T00:00:00	Net_Force	v4_computers	2¹	2⁶⁰		-	-	0.006	-	-
2022-06-24T05:04:27	LordJulius	Manual testing	2⁶⁰	2⁶⁴	1898823141369709727	60.720	19	0.000	41.56	0.001
2017-12-26T12:57:34	TJAOI	Manual testing	2⁶⁴	2⁶⁵*	30227135572953722399	64.712	20	0.119	41.28	0.244

ECM factoring results:
No ECM results for M24793193

Lucas-Lehmer results:
No L-L results for M24793193

PRP results:
No PRP results for M24793193

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

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

2⁶⁷

2⁶⁵

2⁶⁴

2⁶⁰

2⁵⁸

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T05:04:27+00:00

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront