M25203371 Mersenne number exponent details

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M25203371

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is 2 ^25203371 - 1

has 7586971 decimal digits

takes 21.598 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	1.1790	62.6866%	-	-	-	-	1.1790	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5860	62.1212%	110000	4000000	0.4000	4.9829%	0.9860	64.0087%	1.8875%
GPU72	2⁷⁰	9.4809	64.2857%	180000	5500000	0.5838	3.7367%	10.0647	65.6202%	1.3345%
Difference	-3	-8.3019	-1.5991%	-180000	-5500000	-0.5838	-3.7367%	-8.8858	-2.9337%	-2.9337%

Known prime factors (2 factors, 118.3 bits, 0.00046948% 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
25203371	610833148239469697	18	59.084	12118084288 2⁶ × 79 × 97 × 24709	-	97	24709	0.0060	0.0018	0.0031
25203371	681004697792207273	18	59.240	13510190716 2² × 11 × 307049789	2015-11-05	11	307049789	0.0052	20.787	38.824

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
25203371	610833148239469697 681004697792207273	415980243518282607070961848626506281	36	118.324

P-1 results:
No P-1 results for M25203371

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	-	-
2015-11-05T12:26:26	TJAOI	Manual testing	2⁵⁹	2⁶⁰*	681004697792207273	59.240	18	0.002	44.58	0.004
2022-06-24T06:17:32	LordJulius	Manual testing	2¹	2⁶⁰	610833148239469697	59.084	18	0.006	44.58	0.012
2022-06-24T06:17:32	LordJulius	Manual testing	2¹	2⁶⁰	681004697792207273	59.240	18	0.005	44.58	0.011

ECM factoring results:
No ECM results for M25203371

Lucas-Lehmer results:
No L-L results for M25203371

PRP results:
No PRP results for M25203371

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

2⁶⁰

2⁵⁸

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T06:17:32+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