0.2357111317192329313...

This number is neither prime nor composite.

                                                                       0.235
7111317192 3293137414 3475359616 7717379838 9971011031 0710911312 7131137139

+ In 1946 Copeland and Erdös proved that the decimal number obtained by adjoining all of the primes was normal. That is, any pattern of k-digits must occur 1/10k of the time in the decimal expansion. (It is not normal in every base.) [Caldwell]

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