M25139453 Mersenne number exponent details

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M25139453

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is 2 ^25139453 - 1

has 7567730 decimal digits

takes 21.543 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	1.1820	62.6866%	-	-	-	-	1.1820	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5875	62.1212%	110000	4000000	0.4000	4.9812%	0.9875	64.0080%	1.8868%
GPU72	2⁷⁰	9.5050	64.2857%	180000	5500000	0.5838	3.7354%	10.0888	65.6198%	1.3341%
Difference	-3	-8.3230	-1.5991%	-180000	-5500000	-0.5838	-3.7354%	-8.9069	-2.9332%	-2.9332%

Known prime factors (2 factors, 127.3 bits, 0.00050626% 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
25139453	5457897994355210759	19	62.243	108552441343 108552441343	2004-04-09	1	108552441343	0.0410	7,348.8	13,726
25139453	37615984489162590209	20	65.028	748146439168 2¹⁰ × 47 × 1291 × 12041	2018-04-26	1291	12041	0.4966	0.0023	0.0033

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
25139453	5457897994355210759 37615984489162590209	205304206299097218242472811688544858631	39	127.271

P-1 results:
No P-1 results for M25139453

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2004-04-09T00:00:00	korva	v4_computers	?	?	5457897994355210759	62.243	19	0.017	44.41	0.034
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	-	-
2003-12-23T00:00:00	markr	v4_computers	2¹	2⁶²		-	-	0.024	-	-
2022-06-24T06:17:28	LordJulius	Manual testing	2⁶²	2⁶⁵	5457897994355210759	62.243	19	0.017	44.41	0.034
2018-04-26T12:39:50	TJAOI	Manual testing	2⁶⁵	2⁶⁶*	37615984489162590209	65.028	20	0.206	43.89	0.420

ECM factoring results:
No ECM results for M25139453

Lucas-Lehmer results:
No L-L results for M25139453

PRP results:
No PRP results for M25139453

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

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁶⁵

2⁶²

2⁵⁸

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T06:17:28+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