This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
2^73+3^73 = 67585198634826967968486182914745315.
Reap[Do[id=IntegerDigits[2^m+3^m];rm=Rest[id]-Most[id];If[FreeQ[rm,0],Sow[m]],{m,0,10000}]][[2,1]]
Select[Range[0,80],FreeQ[Differences[IntegerDigits[2^#+3^#]],0]&] (* Harvey P. Dale, Dec 09 2021 *)
50 is a term because 3^50-2^50 = 717897986565952681927625, while 49 is not because 3^49-2^49 = 2392(99)328(66)7(66)7576168(77)1 (four pairs of neighbor equal digits).
Reap[Do[id=IntegerDigits[3^m-2^m];rm=Rest[id]-Most[id];If[FreeQ[rm,0],Sow[m]],{m,0,10000}]][[2,1]]