77777...50213 (100-digits)

This number is a prime.

                                            7777777777 7777777777 7777777777
7777777777 7777777777 7777777777 7777777777 7777777777 7777777777 7777750213

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The largest non-composite-digit prime less than a googol that contains all of the non-composite digits. [Loungrides]