M4 082 436 823 Mersenne number exponent details

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is 2 ^4082436823 - 1

has 1228935940 decimal digits

takes 1,024,200.238 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	0.1171	54.9296%	-	-	-	-	0.1171	54.9296%
Target	2⁹²	245,680.2636	65.2174%	20000000	9600000000	197,146.2306	4.2443%	442,826.4942	66.6937%
Difference	-21	-245,680.1465	-10.2878%	-20000000	-9600000000	-197,146.2306	-4.2443%	-442,826.3771	-11.7641%

Known prime factors (2 factors, 93.7 bits, 0.00000230% 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
4082436823	40824368231	11	35.249	5 5	2012-08-20	1	5	1.135e-12	0.0004	0.0007
4082436823	406343659048460279	18	58.495	49767293 131 × 379903	2020-01-07	131	379903	1.462e-5	7.5745	14.063

1 Composite Factors:

P-1 results:
No P-1 results for M4082436823

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2020-01-07	slaur	palvi2-rtx	2¹	2⁶⁴	406343659048460279	58.495	18	0.001	225,214	0.002
Missing TF 64 - 65
Missing TF 65 - 66
Missing TF 66 - 67
Missing TF 67 - 68
2023-02-21	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.103	-	-

ECM factoring results:
No ECM results for M4082436823

Lucas-Lehmer results:
No L-L results for M4082436823

PRP results:
No PRP results for M4082436823

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷¹

2⁶⁴

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2023-07-11T14:45:05+00:00