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
But Rome was only momentarily paralyzed, not weakened; full of shame and indignation the Romans raised all the men and means they could, and placed the highly experienced Lucius Papirius Cursor, equally distinguished as a soldier and as a general, at the head of the newly formed army. The army divided; the one-half marched by Sabina and the Adriatic coast to appear before Luceria, the other proceeded to the same destination through Samnium itself, successfully engaging and driving before it the Samnite army.
They formed a junction again under the walls of Luceria, the siege of which was prosecuted with the greater zeal, because the Roman equites lay in captivity there; the Apulians, particularly the Arpani, lent the Romans important assistance in the siege, especially by procuring supplies. After the Samnites had given battle for the relief of the town and been defeated, Luceria surrendered to the Romans (435).
Papirius enjoyed the double satisfaction of liberating his comrades who had been given up for lost, and of requiting the yoke of Caudium on the Samnite garrison of Luceria. In the next years (435-437) the war was carried on(3) not so much in Samnium itself as in the adjoining districts.
3. That a formal armistice for two years subsisted between the Romans and Samnites in 436-437 is more than improbable.
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Reference address : https://www.ellopos.net/elpenor/rome/2-06-italians-rome.asp?pg=14