Topological Hochschild homology of truncated Brown–Peterson spectra, I

We compute the topological Hochschild homology of sufficiently structured forms of truncated Brown-Peterson spectra with coefficients.In particular, we compute THH .BhniI H Z .p// for all n, where Bhni is an E 3 form of BPhni for certain primes p, and THH .Bh2iI M / for M 2 fk.1/; k.2/g.