Prime Numbers, Factorization, Their Role in Encryption and Linux Factor Command

It's worth being a little careful of some of the utilities available in Linux (et al). For example:

    $ primes 1154487209300 | head -1

    > 1154487209303

    $ factor 1154487209303

    > 1154487209303: 89669 12874987

In fact, this command is interesting:

    $ factor $( primes 1154487209300 | head -n 200 ) \
        | grep " .* " \
        | head -n 30

YMMV, some care required.