  Graphene moire superlattices have emerged as a platform hosting and abundance
of correlated insulating, topological, and superconducting phases. While the
origins of strong correlations and non-trivial topology are shown to be
directly linked to flat moire bands, the nature and mechanism of
superconductivity remain enigmatic. In particular, only alternating twisted
stacking geometries of bilayer and trilayer graphene are found to exhibit
robust superconductivity manifesting as zero resistance and Fraunhofer
interference patterns. Here we demonstrate that magic-angle twisted tri-,
quadri-, and pentalayers placed on monolayer tungsten diselenide exhibit
flavour polarization and superconductivity. We also observe insulating states
in the trilayer and quadrilayer arising at finite electric displacement fields,
despite the presence of dispersive bands introduced by additional graphene
layers. Moreover, the three multilayer geometries allow us to identify
universal features in the family of graphene moire structures arising from the
intricate relations between superconducting states, symmetry-breaking
transitions, and van Hove singularities. Remarkably, as the number of layers
increases, superconductivity emerges over a dramatically enhanced
filling-factor range. In particular, in twisted pentalayers, superconductivity
extends well beyond the filling of four electrons per moire unit cell,
demonstrating the non-trivial role of the additional bands. Our results
highlight the importance of the interplay between flat and dispersive bands in
extending superconducting regions in graphene moire superlattices and open new
frontiers for developing graphene-based superconductors.
