Googolplex

Level 2

Find the sum of all integers "n" such that this expression is prime and n2<1010100{n}^{2}<{ 10 }^{ { 10 }^{ 100 } }:-

6πn12+4πn8+2πn16+37πn8+1\frac { 6\left\lfloor \pi { n }^{ 12 } \right\rfloor +4\left\lceil \pi { n }^{ 8 } \right\rceil +2\left\lfloor \pi { n }^{ 16 } \right\rfloor +3 }{ 7\left\lceil \pi { n }^{ 8 } \right\rceil +1 }

Let the sum be A. Find the sum of digits of A

If there are no solutions to "n", write 0.5. If the sum is infinite/interdeterminant, write 1.5 If the sum of the digits of A is greater than a googol (10100{ 10 }^{ 100 }), write 2.5.

 This is an entry in the troll king contest \text{ This is an entry in the troll king contest}

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