M24595591 Mersenne number exponent details

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M24595591

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is 2 ^24595591 - 1

has 7404011 decimal digits

takes 19.950 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	1.2081	62.6866%	-	-	-	-	1.2081	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.6005	62.1212%	110000	4000000	0.3786	4.9666%	0.9791	64.0025%	1.8813%
GPU72	2⁷⁰	9.7152	64.2857%	170000	5000000	0.5094	3.6194%	10.2246	65.5784%	1.2927%
Difference	-3	-8.5071	-1.5991%	-170000	-5000000	-0.5094	-3.6194%	-9.0165	-2.8918%	-2.8918%

Known prime factors (2 factors, 88.3 bits, 0.00035916% 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
24595591	7526250847	10	32.809	153 3² × 17	-	9	17	2.403e-11	1.110e-5	2.154e-5
24595591	51985859175610649	17	55.529	1056812564 2² × 71 × 3721171	2015-08-06	71	3721171	0.0003	0.2385	0.4453

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
24595591	7526250847 51985859175610649	391258616652462368778469703	27	88.338

P-1 results:
No P-1 results for M24595591

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-01-30T12:09:00	TJAOI	Manual testing	2⁵⁵	2⁵⁶*	51985859175610649	55.529	17	6.01484e-5	41.26	0.000

ECM factoring results:
No ECM results for M24595591

Lucas-Lehmer results:
No L-L results for M24595591

PRP results:
No PRP results for M24595591

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

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁷

2⁵⁶

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2015-08-06T17:20:23+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