Primes in a Sequence: Lower Secondary Mathematics Competition

We have a sequence of numbers defined as follows:

T(1) = 3, T(2) = 4, and T(n) = T(n-1) + T(n-2), where n is a positive whole number greater than 2.

T(1) is obviously a prime number. Find the next five prime numbers that appear in this sequence. Write down their sum.


Answer will eventually be posted below in the Comments section, but best to try it yourself first!


Level: Lower Secondary (Blue)

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