M25041109 Mersenne number exponent details

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M25041109

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is 2 ^25041109 - 1

has 7538125 decimal digits

takes 21.459 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	1.1866	62.6866%	-	-	-	-	1.1866	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5898	62.1212%	110000	4000000	0.4000	4.9786%	0.9898	64.0071%	1.8858%
GPU72	2⁷⁰	9.5423	64.2857%	180000	5000000	0.5500	3.6611%	10.0923	65.5932%	1.3075%
Difference	-3	-8.3557	-1.5991%	-180000	-5000000	-0.5500	-3.6611%	-8.9057	-2.9067%	-2.9067%

Known prime factors (2 factors, 120.6 bits, 0.00048177% 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
25041109	1121757936065635927	19	59.960	22398327807 3 × 37 × 201786737	-	37	201786737	0.0058	13.661	25.514
25041109	1846363077167726489	19	60.679	36866639516 2² × 7 × 31 × 53 × 801379	2016-02-25	53	801379	0.0068	0.0543	0.1013

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
25041109	1121757936065635927 1846363077167726489	2071172434671465344261642966587970303	37	120.640

P-1 results:
No P-1 results for M25041109

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
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	2⁶⁰	1121757936065635927	59.960	19	0.006	44.30	0.012
2016-02-25T12:44:39	TJAOI	Manual testing	2⁶⁰	2⁶¹*	1846363077167726489	60.679	19	0.001	44.30	0.001

ECM factoring results:
No ECM results for M25041109

Lucas-Lehmer results:
No L-L results for M25041109

PRP results:
No PRP results for M25041109

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

10⁸

10⁹

TF factor-bounds graph:

2⁶⁷

2⁶¹

2⁶⁰

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