M1 084 985 677 Mersenne number exponent details

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is 2 ^1084985677 - 1

has 326613234 decimal digits

takes 63,265.716 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	2⁶⁸	0.0549	54.4118%	-	-	-	-	0.0549	54.4118%
Target	2⁸⁶	14,443.9427	63.9535%	6000000	1500000000	7,389.4165	4.2522%	21,833.3593	65.4863%
Difference	-18	-14,443.8878	-9.5417%	-6000000	-1500000000	-7,389.4165	-4.2522%	-21,833.3043	-11.0745%

Known prime factors (1 factor, 32.6 bits, 0.00000300% 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
1084985677	6509914063	10	32.600	3 3	2012-08-20	1	3	5.311e-13	9.376e-5	0.0002

P-1 results:
No P-1 results for M1084985677

Trial Factoring results:
No TF results for M1084985677

ECM factoring results:
No ECM results for M1084985677

Lucas-Lehmer results:
No L-L results for M1084985677

PRP results:
No PRP results for M1084985677

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

10⁰

10¹

10²

TF factor-bounds graph:

2⁶⁸

this exponent TF target: 86

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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Last modified: 2023-10-02T12:12:48+00:00