Code:
? floor((31.4*10^12/10^4)^4)
97211712160000000000000000000000000000
This is the number of core years to prove a 31.4 trillion digit number with Primo. Of course you would need to have a great big system, be prepared to backtrack over millenia, and expect Marcel (and decendants-of-Marcel) to build the tables. If you can use enough atoms to store the step information and the certificate without creating a black hole you will be doing well