2267

This number is a prime.

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The only prime less than a googol of form p^a-(q^b+r^c) where (p, q, r) are three successive primes p > q > r and a, b, c their orders, i.e., 7^4-(5^3+3^2). [Loungrides]

(2267, 2269) is the first pair of twin primes of form (n*R(n)-1, n*R(n)+1), case n=36. Can you find the next one such pair? [Loungrides]