M3 934 767 919 Mersenne number exponent details

≡

is 2 ^3934767919 - 1

has 1184483170 decimal digits

takes 987,153.118 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	0.0151	52.9412%	-	-	-	-	0.0151	52.9412%
Target	2⁹²	254,900.4606	65.2174%	20000000	6000000000	125,796.0639	4.2293%	380,696.5245	66.6884%
Difference	-24	-254,900.4454	-12.2762%	-20000000	-6000000000	-125,796.0639	-4.2293%	-380,696.5093	-13.7473%

Known prime factors (1 factor, 37.0 bits, 0.00000094% 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
3934767919	133782109247	12	36.961	17 17	2012-08-20	1	17	2.421e-12	0.0007	0.0007

P-1 results:
No P-1 results for M3934767919

Trial Factoring results:
No TF results for M3934767919

ECM factoring results:
No ECM results for M3934767919

Lucas-Lehmer results:
No L-L results for M3934767919

PRP results:
No PRP results for M3934767919

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

TF factor-bounds graph:

2⁶⁸

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

JSON version of this page

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