[seqfan] Re: k^n - m^k

[Hans Havermann]

> Primes of the form k^5 - m^k: 4818617, 24006497.

Trying hard to understand what is being counted, I found both these numbers in A024016: 2^n-n^6. But if that's (an example of) what this is supposed to be, why aren't 151115727451620224458183, 9671406556916706457276039, 2535301200456458801931886260151, 45671926166590716193865151022383830497002876343, 862718293348820473429344482784628181556388621521298319251099711172791, etc. in there as well?