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What is the remainder when $$7^{7^{7^{7^{.^{.^{.^{\infty}}}}}}}$$ is divided by 13?

I'm getting $6$. Is it correct?

  • 6
    And what does $7^{7^{7^{7^{.^{.^{.^{\infty}}}}}}}$ mean?2012-07-14
  • 2
    How does your construction work? The sequence $7,7^7,7^{7^7},\dots$ is quite divergent.2012-07-14

2 Answers 2