The database contains some lists of Perrin pseudoprimes PPP-old ... the well known 1700 Perrin pseudoprimes up to 10^14 PPP-old-math ... the same list in mathematica-list-format PPP-new ... a list of 9,261,931 new calculated Perrin pseudoprimes of a special form: PP = ( k1 * (p-1)+1 )* ( k2 * (p-1)+1 )* ... * ( km * (p-1)+1 ) PPP-new-math ... the same list in mathematica-list-format PPP-new-fact ... a list of the same numbers with factorization in mathematica-list-format. Each entry in the list has the structure { PP, {p, k1, ..., km} }. Note, there can be more than one representation! PPP-new-long ... new very long PPPs PPP-new-long-math ... the same list in mathematica-list-format For more Information see the Preprint http://www.wias-berlin.de/publications/wias-publ/run.jsp?template=abstract&type=Preprint&year=2019&number=2657