No - 550-331 BCE.
No, the Persian Empire did not last from 1500 BC to 185 BC. The Persian Empire, also known as the Achaemenid Empire, was established in 550 BC and lasted until it was conquered by Alexander the great in 330 BC.
Darius III.
550-330 BCE - 220 years.
ca. 550 BCE-336 BCE
It began when Cyrus (the Great) absorbed the Medes into Persia and began to expand to the west, taking over Mesopotamia and Asia Minor. It ended with King of Macedonia Alexander the Great's conquest of the Empire, and the death of the last emperor Darius.
PERSIAN
Darius III.
Artaxerxes V.
550 to 330 BCE.
550-330 BCE - 220 years.
ca. 550 BCE-336 BCE
It was defeated by Macedonia under Alexander the Great who took it over as an empire of his own.
MesopotamiaSumeriansSargon the Great and the Akkadian EmpireAssyrian EmpireThe PhoeniciansThe ChaldeansThe Persian Empire: Cyrus the GreatThe ScythiansThe Persian Empire: DariusThe Persian WarEnd of the Persian Empire
The Persian Empire ceased to exist after Alexander defeated Darius at Gaugamela in 331 BCE. There were subsequent major mopping up operations over the following five years in Central Asia, but the Persian power was broken and the Persian king murdered by his own people.
It was taken over by Alexander the Great and so ceased to exist.
Your question does not make sense. The dates you give are the dates of the Achaemenid Empire, the second of the four Persian pre- Islamic empires. It replaced the Median Empire (678-549 BC) as a result of a rebellion against the last Median ruler. It was founded by Cyrus II the Great, the king of Elam. This was a kingdom along the coast of the Persian Gulf which the Medians had turned into a vassal state. The empire started with the Persian Revolt (552-500 BC) a revolt of Elam against the last Median king which Cyrus won. It ended with its conquest by Alexander the Great which stated in 334. The Persians surrendered in 330. The Persians overthrew Greek rule and founded the Parthian Empire in 274 AD. This empire lasted only 23 years. In 224 AD its last ruler was overthrown by Ardashir I, who founded the Sasanian dynasty and empire. This empire ended in 651 when it was conquered by the Muslims.
Alexander's campaign to take the Persian Empire lasted a decade - 334-324 BCE.
Plataea of the last battle in the Persian war.