647

This number is a prime.

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The largest prime whose digits form an acute-angle scalene triangle with prime perimeter. [Loungrides]

The largest 3-digit number n such that 3^n-2^n is prime, 3^647-2^647. [Loungrides]

The only prime of form p^(p+1)+q^(q+1)-1, where p, q are consecutive primes, i.e., 2^3*3^4-1. [Loungrides]