Find the Inverse Neighbor Pairs
05AB1E, 17 14 13 bytes
Thanks to @KevinCruijssen and @Grimmy for the fix and inspiration from Kevin's now deleted answer
-1 byte further thanks to @Grimmy
L.ÆʒRÆo@}ʒPI%

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Explanation
L.Æ                    - Combinations of [1..N] with 2 elements
    ʒ     }            - Filter this when ...
     RÆo               - 2^(The difference of each pair) is... 
        @              - &lt;= the input
           ʒPI%        - Then filter this list further where the product modulo input is 1