Conjecture no. 11 The generalized Fermat Catalan Conjecture

The generalized Fermat Catalan Conjecture is the statement that the equation:

Does the equation a1^k1+a2^k2+a3^k3… +a^k =b^c  has finitely many or no solutions where a1, a2, a3, … are all relatively prime and that 1/k1 +1/k2+ 1/k3… < 1.

As always I welcome my readers to prove or disprove this conjecture. I would like some help in finding explicit solutions if they exist because I haven’t found an explicit example yet other than Fermat Catalan Conjecture solutions on Wikipedia. The conjecture may be implied by the truth of the “n conjecture” Much help would be appreciated.

https://en.m.wikipedia.org/wiki/N_conjecture

https://en.wikipedia.org/wiki/Fermat%e2%80%93Catalan_conjecture

Thank you

Nunghead

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