Primes everywhere

Calculus Level 5

\[\displaystyle\int _{ 0 }^{ \infty }{ \dfrac { 1 }{ { x }^{ 13 }+13 } \, dx } =\dfrac { 1 }{ { a }^{ b/a } } \int _{ 0 }^{ \infty }{ \dfrac { 1 }{ 1+{ x }^{ 13 } } \, dx } \]

The equation above holds true for constants \(a\) and \(b\) with prime \(a\). Find \(a+b\).

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