A.T. Robertson Commentary Luke 24:46

"and he said unto them, Thus it is written, that the Christ should suffer, and rise again from the dead the third day;" — Luke 24:46 (ASV)

It is written (γεγραπτα). Perfect passive indicative of γραφω, to write, the usual phrase for quoting Scripture. Jesus now finds in the Old Testament his suffering, his resurrection, and the preaching of repentance and forgiveness of sins to all nations. Note the infinitives παθειν, αναστηναι, κηρυχθηνα.