M25061563 Mersenne number exponent details

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M25061563

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is 2 ^25061563 - 1

has 7544283 decimal digits

takes 21.476 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	1.1856	62.6866%	-	-	-	-	1.1856	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5893	62.1212%	110000	4000000	0.4000	4.9792%	0.9893	64.0073%	1.8860%
GPU72	2⁷⁰	9.5345	64.2857%	180000	5000000	0.5500	3.6615%	10.0845	65.5934%	1.3077%
Difference	-3	-8.3489	-1.5991%	-180000	-5000000	-0.5500	-3.6615%	-8.8989	-2.9068%	-2.9068%

Known prime factors (2 factors, 124.2 bits, 0.00049572% 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
25061563	1544058075567108463	19	60.421	30805302837 3 × 53 × 359 × 539677	2003-11-28	359	539677	0.0090	0.0370	0.0682
25061563	16225838152959702703	20	63.815	323719597077 3 × 28711 × 3758369	2017-05-17	28711	3758369	0.1308	0.2882	0.4752

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
25061563	1544058075567108463 16225838152959702703	25053636432922324243978212625835275489	38	124.236

P-1 results:
No P-1 results for M25061563

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-11-28T00:00:00	markr	v4_computers	?	?	1544058075567108463	60.421	19	0.003	44.33	0.006
2001-08-12T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-08-24T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2022-06-24T06:01:06	LordJulius	Manual testing	2¹	2⁶³	1544058075567108463	60.421	19	0.009	44.33	0.019
2017-05-17T15:08:54	TJAOI	Manual testing	2⁶³	2⁶⁴*	16225838152959702703	63.815	20	0.067	44.20	0.138

ECM factoring results:
No ECM results for M25061563

Lucas-Lehmer results:
No L-L results for M25061563

PRP results:
No PRP results for M25061563

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

10⁴

10⁵

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁷

2⁶⁴

2⁶³

2⁵⁸

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T06:01:06+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