ID this cheese

I agree. Or maybe a Pecorino Romano.

Definitely not Mimolette, definitely Gouda. As for age, at least 36 months. 5-years? Maybe.

Nitpick but grana padana is made in a much wider area of Italy (the Po Valley to be specific) whereas parmigiano reggiano is limited to the area around Parma in the Emilia-Romagna. Like parmigiano reggiano, grana padano is also a PDO.

The region where Grana Padano is made is indeed huge, but the region where you can make Reggiano is more than the Parma area. The Reggiano region comprises of these provinces: Parma, Reggio Emilia, Modena, Bologna - west of Reno river and Mantova - south of the Po.

I should have been more specific in calling out what I believe was an incorrect reference to “parmigiano Grana Padano”. Also, the defined areas for Reggiano include the municipalities on the right bank of the river Po in the province of Mantua (Mantova is a portion of the municipality of Mantua) and those municipalities on the left bank of the river Reno in the province of Bologna.