Last revision was September 2023. And this is AP's 16th published book of science. AP proved the Goldbach Conjecture starting 1993 where the Algebra Columns is the bedrock-key of the proof involved. The Algebra Column Array is the tool and no-one was going to prove Goldbach unless they had that tool, which the 2014 post of mine makes the array tool crystal clear. So starting 1993, I posted to sci.math about Array or Algebra Column which as a tool would render all proofs of this nature. The Goldbach conjecture historically dates back to 1742, and the Legendre conjecture dates 1752-1833. The Staircase conjecture is a wholly new conjecture proposed by AP circa 2016. Is an Algebra Column Array sequence starting with 6 Array and then 8 Array.