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The smallest fourdigit zeroless prime such that 2+267, 22+67, and 226+7 are also distinct primes. [Opao]
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] The only prime less than a googol that can be represented as the difference of the sum of n powers with successive primes as bases, and as exponents their orders, from the power whose the base is the next prime with exponent also its order, i.e., 7^4(5^3+3^2), case n=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] [Loungrides]
(There is one curio for this number that has not yet been approved by an editor.)
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