Maths Olympiad Exam Numerical Ability

find the natural number k such that 2^k+2^34+2^37 is the square of an integer n

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Maths Olympiad Other Question

find the last three digits of the sum of distinct prime factors of 3^12+2^14 if p is a prime number greater than 12345 what is the remainder when p^2 is divided by 12