Distribution of TP53 rs1042522, MDM2 rs2279744, rs3730485, and MDM4 rs4245739 variants were tested for Hardy–Weinberg equilibrium (HWE) and no significant differences in the genotype frequencies were found except for TP53 rs1042522 variant (p < 0.001) in the AML group and the MDM4 rs4245739 variant in the two groups (p = 0.0004 for AML cases and p < 0.001 for controls). This evidence concerns the gene MDM4 and acute myeloid leukemia.