Luke
Luke 3:1ESV·traditional attribution

In the fifteenth year of the reign of Tiberius Caesar, Pontius Pilate being governor of Judea, and Herod being tetrarch of Galilee, and his brother Philip tetrarch of the region of Ituraea and Trachonitis, and Lysanias tetrarch of Abilene,

John Calvin Reformed @genevareformer

Luke 3:1. When Pontius Pilate was governor of Judea It is probable that this was the second year of Pilate’s government: for since Tiberius had held the reins of government, he had, as Josephus informs us, (xviii. 2:2,) appointed Valerius Gratus to be governor of Judea, in room of Annius Rufus. This change might take place in his second year.

Matthew Henry Presbyterian @wholebiblehenry

John's baptism introducing a new dispensation, it was requisite that we should have a particular account of it. Glorious things were said of John, what a distinguished favourite of Heaven he should be, and what a great blessing to this earth (Luk 1:15, Luk 1:17); but we lost him in the deserts, and there he remains until the day of his showing unto Israel, Luk 1:80.

Commenting on Luke 3:1-14

Albert Barnes Presbyterian @notesbybarnes

LUKE CHAPTER III. Verse 1. Now in the fifteenth year. This was the thirteenth year of his being sole emperor. He was two years joint emperor with Augustus, and Luke reckons from the time when he was admitted to share the empire with Augustus Caesar. See Lardner's Credibility, vol. i. Tiberius Caesar. Tiberius succeeded Augustus in the empire, and began his sole reign Aug. 19, A.D. 14.