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According to the Romans it appears to have been 4th century historian Sozomen describes it as a "New Rome" equal in power and influence ,and describes Constantine's success-"He created another senate which he endowed with the same honours and privileges as that of Rome,and he strove to render the city of his name equal in every way to Rome in Italy;nor were his wishes in vain,for by the favor of God ,it became the most populous and wealthy of cities".Source "The mammoth book of how it happened in Ancient Rome"