M25171897 Mersenne number exponent details

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M25171897

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is 2 ^25171897 - 1

has 7577497 decimal digits

takes 21.571 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	1.1804	62.6866%	-	-	-	-	1.1804	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5867	62.1212%	110000	4000000	0.4000	4.9821%	0.9867	64.0084%	1.8872%
GPU72	2⁷⁰	9.4928	64.2857%	180000	5500000	0.5838	3.7361%	10.0766	65.6200%	1.3343%
Difference	-3	-8.3123	-1.5991%	-180000	-5500000	-0.5838	-3.7361%	-8.8961	-2.9335%	-2.9335%

Known prime factors (2 factors, 120.5 bits, 0.00047890% 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
25171897	280287086478544967	18	57.960	5567460539 317 × 457 × 38431	2001-08-24	457	38431	0.0008	0.0031	0.0049
25171897	6934341363952200287	19	62.588	137739745319 11 × 443 × 28265903	2016-09-06	443	28265903	0.0512	1.9141	3.5740

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
25171897	280287086478544967 6934341363952200287	1943606337549821820910834357919805529	37	120.548

P-1 results:
No P-1 results for M25171897

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-08-24T00:00:00	Matt	v4_computers	?	?	280287086478544967	57.960	18	2.95508e-5	44.53	6.09992e-5
2001-08-12T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2022-06-24T06:17:31	LordJulius	Manual testing	2¹	2⁶²	280287086478544967	57.960	18	0.001	44.53	0.002
2016-09-06T15:20:33	TJAOI	Manual testing	2⁶²	2⁶³*	6934341363952200287	62.588	19	0.027	44.47	0.055

ECM factoring results:
No ECM results for M25171897

Lucas-Lehmer results:
No L-L results for M25171897

PRP results:
No PRP results for M25171897

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

10⁷

10⁸

TF factor-bounds graph:

2⁶⁷

2⁶³

2⁶²

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T06:17:31+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