That is 270342 ones in a line. Not the most interesting solution...
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It sorta cheats on the whole "any permutation" thing
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Fun facts that only work in base 10 are boring.
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Did you know that the number 1 can be represented with the number 1 in bases 1 through Infinity?
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Isn't that a number with only "1" digits? #(10²⁷⁰³⁴³-1)/9
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Permutable primes >5 don't contain digits 2,4,5,6,8,0. It's been conjectured ∃ infinitely many repunit primes: (10^p - 1 )/9 = 1...1 (i.e. p ones). First three repunit primes: 11, 1111111111111111111, 11111111111111111111111 (2, 19 and 23 ones).
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Do all repunit primes have a prime number of ones?
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If you pick a base larger than the prime then any prime can trivially be permutable.
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Do you mean the largest in base10? The largest known prime 2^77232917-1, clearly has this property in base 2.
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And the smallest is 2!
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