Prime Curios!: 1069

1069
(another Prime Pages' Curiosity)

Curios:

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The prime number 1069 is the smallest number m such that m^k +

(m^k) is prime for k = 1, 2, and 3. [Firoozbakht]

The smallest four-digit emirp with distinct digits. [Capelle]

The mouth of a prime volcano (truncated pyramid).

          1069 
         310693
        33106933
       3331069333
      333310693333

[Post]

1069 = 1 + 1*3 + 1*3*5 + 1*3*5*7 + 1*3*5*7*9. [Silva]

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