None of the interactions was significant (p = 0.3, for PRS-Alz 4 × PGS-Int 7, p = 0.1, for PRS-Alz 5 × PGS-Int 7 and p = 0.9, for APOE × PGS-Int 7) (supplementary table S9) suggesting that APOE, and the polygenic contributions to AD and intelligence do not influence each other’s effect on cognitive decline. This evidence concerns the gene APOE and Mental deterioration.