MathDB

An animal with

n

cells is a connected figure consisting of

n

equal-sized cells[1].
A dinosaur is an animal with at least

2007

cells. It is said to be primitive it its cells cannot be partitioned into two or more dinosaurs. Find with proof the maximum number of cells in a primitive dinosaur.
(1) Animals are also called polyominoes. They can be defined inductively. Two cells are adjacent if they share a complete edge. A single cell is an animal, and given an animal with

n

cells, one with

n+1

cells is obtained by adjoining a new cell by making it adjacent to one or more existing cells.

Problem Statement