Recent content by superadvanced

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    Graduate How to prove sum(1/n^n) equals integral(1/x^x) from 0 to 1

    lol I don't understand the wiki proof but there was a much simpler proof I found when googling sophomore's dream. Its on wolfram math world.
  2. S

    Graduate How to prove sum(1/n^n) equals integral(1/x^x) from 0 to 1

    wow that's really simple. i feel stupid.
  3. S

    Graduate How to prove sum(1/n^n) equals integral(1/x^x) from 0 to 1

    Playing around with Wolfram Alpha I discovered an elegant looking little equation. Judging by the decimal approximation of both sides, there seems to be an extremely high probability that it is true. A picture of the equation is attached but ill try to type it too...