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History of Science and Mathematics: What is the earliest reference for the Prime Number Theorem (as a conjecture)? And, what were earlier or opposing believes regarding this question?

History of Science and Mathematics: When was the decimal number system commonly adopted throughout Europe?

History of Science and Mathematics: The life and untimly death of E.Galois is recounted in many places, yet often seem to lack precision and context. What are sound expositions of this?

Mathematics Educators: For a research paper, should I state the main result in the introduction even if I could not yet explain all relevant terminology at this point?

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