M3 893 929 909 Mersenne number exponent details

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is 2 ^3893929909 - 1

has 1172189704 decimal digits

takes 976,907.693 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	0.0153	52.9412%	-	-	-	-	0.0153	52.9412%
Target	2⁹²	257,573.7567	65.2174%	19000000	5500000000	115,542.3625	4.1480%	373,116.1192	66.6602%
Difference	-24	-257,573.7414	-12.2762%	-19000000	-5500000000	-115,542.3625	-4.1480%	-373,116.1039	-13.7190%

Known prime factors (1 factor, 55.4 bits, 0.00000142% 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
3893929909	48409959657473441	17	55.426	6216080 2⁴ × 5 × 13 × 43 × 139	2015-02-13	43	139	1.467e-6	0.0175	0.0318

P-1 results:
No P-1 results for M3893929909

Trial Factoring results:
No TF results for M3893929909

ECM factoring results:
No ECM results for M3893929909

Lucas-Lehmer results:
No L-L results for M3893929909

PRP results:
No PRP results for M3893929909

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

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