Please note that Mommsen uses the AUC chronology (Ab Urbe Condita), i.e. from the founding of the City of Rome. You can use this reference table to have the B.C. dates
From: The History of Rome, by Theodor Mommsen
Translated with the sanction of the author by William Purdie Dickson
Heraclea did not succumb till after a two years' siege, when the Roman fleet had cut off the city from intercourse with the Greek towns on the Tauric peninsula and treason had broken out in the ranks of the garrison. When Amisus was reduced to extremities, the garrison set fire to the town, and under cover of the flames took to their ships. In Sinope, where the daring pirate-captain Seleucus and the royal eunuch Bacchides conducted the defence, the garrison plundered the houses before it withdrew, and set on fire the ships which it could not take along with it; it is said that, although the greater portion of the defenders were enabled to embark, 8000 corsairs were there put to death by Lucullus. These sieges of towns lasted for two whole years and more after the battle of Cabira (682-684); Lucullus prosecuted them in great part by means of his lieutenants, while he himself regulated the affairs of the province of Asia, which demanded and obtained a thorough reform.
Remarkable, in an historical point of view, as was that obstinate resistance of the Pontic mercantile towns to the victorious Romans, it was of little immediate use; the cause of Mithradates was none the less lost. The great-king had evidently, for the present at least, no intention at all of restoring him to his kingdom. The Roman emigrants in Asia had lost their best men by the destruction of the Aegean fleet; of the survivors not a few, such as the active leaders Lucius Magius and Lucius Fannius, had made their peace with Lucullus; and with the death of Sertorius, who perished in the year of the battle of Cabira, the last hope of the emigrants vanished.
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Reference address : https://www.ellopos.net/elpenor/rome/5-02-rule-sullan-restoration.asp?pg=38