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( 1 point ) The Miller - Rabin primality test is based around the following observation. If p is prime and x 2 - =
point The MillerRabin primality test is based around the following observation.
If is prime and modp then modp.
Note that modp and modp mean the same thing.
We will use the MillerRabin test to test for primality. To do this we will closely examine
modn for various integers
First we divide out all of the s from
We can write where
is maximal, and
Now we randomly select some such as
Initially we compute
modn.
If this number is then the test is inconclusive and another is selected up until the number of
determined by the security level
Otherwise we compute the list of values dots,dots, Note
Please enter this list for and in comma separated format.
When the list is computed one of a few things could happen.
The value never occurs on the list.
The value modp occurs on the list, immediately followed by
The value occurs in the list, but preceded by
Which one of these possibilities holds in our case enter the number
What conclusion should we draw from what we have done?
is prime.
is composite.
The test is inconclusive.
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