M4 289 395 619 Mersenne number exponent details

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is 2 ^4289395619 - 1

has 1291236745 decimal digits

takes 1,160,966.627 GHz-days to do one PRP test

0 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
Actual	2⁷¹	0.1115	54.9296%	-	-	-	-	0.1115	54.9296%
Target	2⁹²	233,826.4511	65.2174%	22000000	6500000000	147,147.4059	4.3562%	380,973.8570	66.7326%
Difference	-21	-233,826.3396	-10.2878%	-22000000	-6500000000	-147,147.4059	-4.3562%	-380,973.7455	-11.8030%

Known prime factors (2 factors, 103.6 bits, 0.00000242% 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
4289395619	11298268060447	14	43.361	1317 3 × 439	2012-08-20	3	439	3.103e-10	0.0105	0.0176
4289395619	1391850371009256841	19	60.272	162243180 2² × 3² × 5 × 11 × 67 × 1223	2020-01-15	67	1223	4.604e-5	0.0510	0.0535

1 Composite Factors:

P-1 results:
No P-1 results for M4289395619

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2020-01-15	slaur	palvi2-rtx	2¹	2⁶⁴	1391850371009256841	60.272	19	0.001	2,357,890	0.031
2023-10-27	VladimirLapin	GTX1080	2³¹	2⁶⁸	11298268060447	43.361	14	0.014	2,357,890	0.031
2023-10-27	VladimirLapin	GTX1080	2³¹	2⁶⁸	1391850371009256841	60.272	19	0.014	2,357,890	0.031
2023-03-12	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.098	-	-

ECM factoring results:
No ECM results for M4289395619

Lucas-Lehmer results:
No L-L results for M4289395619

PRP results:
No PRP results for M4289395619

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

TF factor-bounds graph:

2⁷¹

2⁶⁸

2⁶⁴

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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Last modified: 2023-10-27T18:34:25+00:00