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sshd(8) in the Diffie-Hellman Group Exchange key exchange method.
New moduli may be generated with ssh-keygen(1) using a two-step process.
An initial candidate generation pass, using ssh-keygen -G, calculates
numbers that are likely to be useful. A second primality testing pass,
using ssh-keygen -T provides a high degree of assurance that the numbers
are prime and are safe for use in Diffie Hellman operations by sshd(8).
This moduli format is used as the output from each pass.
The file consists of newline-separated records, one per modulus, contain-
ing seven space separated fields. These fields are as follows:
timestamp The time that the modulus was last processed as YYYYM-
type Decimal number specifying the internal structure of
the prime modulus. Supported types are:
0 Unknown, not tested
2 "Safe" prime; (p-1)/2 is also prime.
4 Sophie Germain; (p+1)*2 is also prime.
Moduli candidates initially produced by ssh-keygen(1)
are Sophie Germain primes (type 4). Further primality
testing with ssh-keygen(1) produces safe prime moduli
(type 2) that are ready for use in sshd(8). Other
types are not used by OpenSSH.
tests Decimal number indicating the type of primality tests
that the number has been subjected to represented as a
bitmask of the following values:
0x00 Not tested
0x01 Composite number - not prime.
0x02 Sieve of Eratosthenes
0x04 Probabilistic Miller-Rabin primality tests.
The ssh-keygen(1) moduli candidate generation uses the
Sieve of Eratosthenes (flag 0x02). Subsequent
ssh-keygen(1) primality tests are Miller-Rabin tests
trials Decimal number indicating of primality trials that
have been performed on the modulus.
size Decimal number indicating the size of the prime in
generator The recommended generator for use with this modulus
modulus The modulus itself in hexadecimal.