  A number $n$ is practical if every integer in $[1,n]$ can be expressed as a
subset sum of the positive divisors of $n$. We consider the distribution of
practical numbers that are also shifted primes, improving a theorem of Guo and
Weingartner. In addition, essentially proving a conjecture of Margenstern, we
show that all large odd numbers are the sum of a prime and a practical number.
We also consider an analogue of the prime $k$-tuples conjecture for practical
numbers, proving the "correct" upper bound, and for pairs, improving on a lower
bound of Melfi.
