M3 843 566 131 Mersenne number exponent details

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is 2 ^3843566131 - 1

has 1157028696 decimal digits

takes 888,780.182 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	0.0155	52.9412%	-	-	-	-	0.0155	52.9412%
Target	2⁹²	260,948.8482	65.2174%	19000000	5500000000	106,496.6258	4.1428%	367,445.4740	66.6584%
Difference	-24	-260,948.8327	-12.2762%	-19000000	-5500000000	-106,496.6258	-4.1428%	-367,445.4585	-13.7172%

Known prime factors (1 factor, 58.6 bits, 0.00000152% 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
3843566131	435621275632125967	18	58.596	56668893 3 × 18889631	2015-02-22	3	18889631	1.934e-5	345.07	644.50

P-1 results:
No P-1 results for M3843566131

Trial Factoring results:
No TF results for M3843566131

ECM factoring results:
No ECM results for M3843566131

Lucas-Lehmer results:
No L-L results for M3843566131

PRP results:
No PRP results for M3843566131

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

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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