The product in Find the Last Two Digits has several multiples of 5. Erase them from the product to form a new product:
7 x 19 x 31 x 43 x 67 x 79 x 91 x 103 x 127 x ........ x 2023

Find the last two digits of this new expression.

A computer program is rather simple, so I request an evaluation using analytical techniques.