If you take all 53 8 bit primes, you can use modular arithmetic with a residue base to work with numbers up to 642663309179086448723306352281067133108801865916

If you take all 53 8 bit primes, you can use modular arithmetic with a residue base to work with numbers up to 64266330917908644872330635228106713310880186591609208114244758680898150367880703152525200743234420230 This would require 334 bits.