  We consider an analog of a conjecture of Montgomery and Soundararajan on the
moments of primes in short intervals in number fields; this analog was
discussed and heuristically derived in a paper of the second author, Rodgers,
and Roditty-Gershon. Adapting work of the first author and Fiorilli in the
integer case, we establish lower bounds on a weighted version of these moments
which agree with the conjectured values.
