Christians around 300 CE
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By about 300 CE, scholars estimate, a movement that began with a crucified teacher and a few followers in Galilee had grown to about six million people. Ehrman, summarising Stark, gives "indeed 6,000,000" by 300, in an empire of "60 million people (give or take 10 million)", or "maybe 10% of the empire", and Hopkins (1998) is reported to reach a similar order of magnitude. This growth came through periods of persecution. Christians see in it the strength of the faith the first believers passed on.
Estimate: about 6 million Christians, around a tenth of the empire, is a scholarly ballpark figure. It rests on scattered evidence, and its margin of error is about a factor of two either way: Ehrman notes that 5% or 15% of the empire are also possible.
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No census of Christians was ever taken in the Roman Empire, so the figure is inferred, not counted, and the size of the empire itself is uncertain by about a sixth either way. Because the figure anchors Stark's growth model, any error in it changes the growth rate the model needs.