A natural number n is called practical if every integer between 1 and n can be expressed as a sum of distinct positive divisors of n. In this paper, given an integer a, we explore the practicality of shifted primes p a. Let Pa(x) := |{p 6 x : p prime, p a practical}|. We establish upper and lower bounds for Pa(x). In particular, for any given odd integer a, there are infinitely many primes p such that p a is practical.
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