M3 831 826 399 Mersenne number exponent details

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is 2 ^3831826399 - 1

has 1153494685 decimal digits

takes 886,065.505 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	0.0156	52.9412%	-	-	-	-	0.0156	52.9412%
Target	2⁹²	261,748.3284	65.2174%	19000000	5500000000	106,496.6258	4.1416%	368,244.9543	66.6579%
Difference	-24	-261,748.3129	-12.2762%	-19000000	-5500000000	-106,496.6258	-4.1416%	-368,244.9387	-13.7168%

Known prime factors (1 factor, 37.2 bits, 0.00000097% 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
3831826399	160936708759	12	37.228	21 3 × 7	2012-08-20	3	7	5.017e-12	0.0011	0.0020

P-1 results:
No P-1 results for M3831826399

Trial Factoring results:
No TF results for M3831826399

ECM factoring results:
No ECM results for M3831826399

Lucas-Lehmer results:
No L-L results for M3831826399

PRP results:
No PRP results for M3831826399

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

TF factor-bounds graph:

2⁶⁸

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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