Motivated by the observation of even denominator fractional quantum Hall effect in the n= 3 Landau level of monolayer graphene [Kim et al., Nat. Phys. 15, 154 (2019)], we consider a Bardeen-Cooper-Schrieffer variational state for composite fermions and find that the composite-fermion Fermi sea in this Landau level is unstable to an f-wave pairing. Analogous calculation suggests the possibility of a p-wave pairing of composite fermions at half filling in the n= 2 graphene Landau level, whereas no pairing instability is found at half filling in the n= 0 and n= 1 graphene Landau levels. The relevance of these results to experiments is discussed.
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