Globular lattices
The authors study ``globular lattices'', that is, those full sublattices of Euclidean space for which the set of primes coincides with the set of co-primes. They show that lattice spheres are globular lattices and that globular lattices are spindles. For dimensions two and three the only globular lattices are the lattice spheres but for dimension four there are uncountably many distinct globular lattices.
scientific article; zbMATH DE number 5573794