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10

The Greek dynasty in Bactria is extinguished.

Illyria is divided into Pannonia and Dalmatia.

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8

Vipsania Julia is exiled. Lucius Aemilius Paullus and his family are disgraced. Augustus breaks off engagement of Claudius to Paullus' daughter Aemilia Lepida.

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6

Quirinius conducts a census in Judea (according to Josephus), which results in a revolt in the province, led by Judas the Galilean, and supported by the Pharisee Sadoq. The revolt is repressed, and the rebels are crucified, but it results in the birth of the Zealot movement, the members of which regard God as their only master.

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5

Emperor Ping of Han is assassinated. Grand Empress Dowager Wang appoints Wang Mang as acting-emperor of Han until a suitable successor is found to replace the childless Ping.

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3

Wang Mang foils a plot by his son, Wang Yu, his brother-in-law, Lu Kuan, and the Wei clan to oust him from the regent's position. Wang Yu and Lu Kuan are killed in the purge that follows.

The rule of Augustus is renewed for a 10 year period.

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1

Jesus' birth, according to the Anno Domini era created by Dionysius Exiguus in 525 as argued by one scholar, Georges Declercq, in Anno Domini (2000). Most scholars argue that Dionysius placed the birth of Jesus in 1 BC.
The first full year in the life of Jesus as assigned by Dionysius Exiguus in his Anno Domini era.

Buddhism is introduced into China.

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I found this: Year_zero

1 BC

Herod the Great, according to some interpretations of Josephus, die.

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2 BC

Julia the Elder, daughter of Augustus and Scribonia is exiled on charges of treason and adultery to Pandateria; her mother Scribonia accompanies her.

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3 BC

Seneca, the Roman statesman is born

Servius Sulpicius Galba, Romn emperor is born

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4 BC

Archelaus becomes ethnarch of Judea. Herod Antipas becomes king of the Galilee