Neka su aaa i mmm prirodni brojevi, ppp neparan prost broj, takav da pm∣a−1p^m \mid a - 1pm∣a−1 i pm+1∤a−1p^{m+1} \nmid a - 1pm+1∤a−1. Dokažite da
a) pm+n∣apn−1p^{m+n} \mid a^{p^n} - 1pm+n∣apn−1 za svaki n∈Nn \in \mathbf{N}n∈N,
b) pm+n+1∤apn−1p^{m+n+1} \nmid a^{p^n} - 1pm+n+1∤apn−1 za svaki n∈Nn \in \mathbf{N}n∈N.