  This paper updates the explicit interval estimate for primes between
consecutive powers. It is shown that there is least one prime between $n^{155}$
and $(n+1)^{155}$ for all $n\geq 1$. This result is in part obtained with a new
explicit version of Goldston's 1983 estimate for the error in the truncated
Riemann--von Mangoldt explicit formula.
