Ananya's Birthday Is Full of Primes But What's Wrong With It?

The smallest Prime Number which satisfies the following 2 properties :

  • Can be represented as sum of two primes as well as sum of two composite numbers.

  • Whose sum of digits is square

    is also included in the Fibonacci sequence. What is the the rank of the number in the Fibonacci sequence. Just write down the position or rank of the number in the Fibonacci sequence as an answer.

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