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article: is there a need for new technologies ?, patris.gr, 19/9/2024 ^new

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eye proplasm, dental tools, Minoan statue
digitization at the Museum of Medicine


Museum of Medicine of Crete / VR

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'suppose that p₁=2 < p₂=3 < ... < p_r are all of the primes. Let P = p₁*p₂*p₃...p_r+1 and let p be a prime dividing P; then p can not be any of p₁, p₂, ..., p_r, otherwise p would divide the difference P-p₁*p₂*p₃...p_r = 1, which is impossible. So this prime p is still another prime, and p₁, p₂, ..., p_r would not be all of the primes', Euclid, 300 BC