A Fermat's grand theorem demonstration model is disclosed and relates to the field of teaching of mathematics in primary, secondary and
tertiary schools and the field of scientific research. The invention is aimed at constructing a
mathematical model for Fermat's grand theorem and solving two problems of mathematics teaching and popularization of science; the demonstration model consists of a number of rectangular square (1), a number of universal
Integrated circuit boards (2), a number of positive Integer nth power formula plates (3), a number of touch screen switch cover plates, a third power display panel (5), a fourth power display panel (6), a
fifth power display panel (7), a sixth power display panel (8), a seventh power display panel (9), an eighth power display panel ( 10), a ninthpower display panel (11), an nth power universal display panel (12), an nth power variant four-color display panel (13) and a base seat (14); the third power display panel (5), the fourth power display panel (6), the
fifth power display panel (7), the sixth power display panel (8), the seventh power display panel (9), the eighth power display panel (10), the ninth power display panel (11), the nth power universal display panel (12), the nth power variant four-color display panel (13) and the base seat (14) are made via via a Fermat inequality parameter method and an
assembly display
panel method; all display panels are orderly inserted horizontally into opposite grooves of inner sides of wall panels erected before and after the base seat (14); different colors of the rectangular squares on the display panels or lights of electric lights in an
integrated circuit are used to show Fermat inequalities and demonstrate that Fermat's grand theorem is true, and the positive integer n is greater than or equal to 3.