M25169033 Mersenne number exponent details

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M25169033

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is 2 ^25169033 - 1

has 7576634 decimal digits

takes 21.568 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	1.1806	62.6866%	-	-	-	-	1.1806	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5868	62.1212%	110000	4000000	0.4000	4.9820%	0.9868	64.0083%	1.8871%
GPU72	2⁷⁰	9.4938	64.2857%	180000	5500000	0.5838	3.7360%	10.0777	65.6200%	1.3343%
Difference	-3	-8.3133	-1.5991%	-180000	-5500000	-0.5838	-3.7360%	-8.8971	-2.9334%	-2.9334%

Known prime factors (2 factors, 122.2 bits, 0.00048558% 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
25169033	1191814222328320489	19	60.048	23676202068 2² × 3 × 3761 × 524599	2003-12-13	3761	524599	0.0065	0.0399	0.0663
25169033	5181094137678821233	19	62.168	102925967352 2³ × 3 × 13 × 29 × 53 × 71 × 3023	2016-07-06	71	3023	0.0600	0.0003	0.0004

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
25169033	1191814222328320489 5181094137678821233	6174901680507504574522719638162142937	37	122.216

P-1 results:
No P-1 results for M25169033

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-12-13T00:00:00	markr	v4_computers	?	?	1191814222328320489	60.048	19	0.000	44.51	0.001
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	-	-
2022-06-24T06:17:31	LordJulius	Manual testing	2¹	2⁶²	1191814222328320489	60.048	19	0.006	44.51	0.013
2016-07-06T14:20:21	TJAOI	Manual testing	2⁶²	2⁶³*	5181094137678821233	62.168	19	0.036	44.46	0.073

ECM factoring results:
No ECM results for M25169033

Lucas-Lehmer results:
No L-L results for M25169033

PRP results:
No PRP results for M25169033

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

10⁴

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁶⁷

2⁶³

2⁶²

2⁵⁸

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