Talk:Primes not Sum of or Difference between Powers of 2 and 3

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The sequence described in the title should be A007643, beginning with $41$ (there is a proof of $41$ in Smallest Prime Number not Difference between Power of 2 and Power of 3).

The sequence in the page, A007644, contains primes not difference nor sum between powers of $2$ and $3$, e.g. $41 = 2^5 + 3^2$ is not in the sequence.

Besides, I also have no idea what is to be proven in these infinite sequence pages without apparent patterns. --RandomUndergrad (talk) 17:44, 16 August 2020 (UTC)

Corrected the name of this page and what it purports to show, and updated all number pages as appropriate.
As for proving things like this, I wouldn't know where to start, except I note this on A007644: "Contains all primes congruent to 53, 77 or 103 modulo 120." Might offer a clue. --prime mover (talk) 20:48, 16 August 2020 (UTC)