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    • Nathan
    • 17 Feb 2026
      • created 17 Feb 2026 01:14
      • updated 17 Feb 2026 01:17
    • 1 category
      • Real Analysis

    Prove sqrt(2) in R by showing x · x = 2 where x = A|B is the cut in Q with A = {r in Q : r ≤ 0 or r² < 2}

    • Nathan
    • 3 Dec 2025
      • created 3 Dec 2025 19:05
      • updated 16 Feb 2026 23:31

    An integer n>=3 can be expressed as a sum of 2 or more consecutive positive integers if and only if n is not a power of 2.

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