Accession Number : AD0721268

Title :   A Very Large Number Indeed,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Spencer,Joel

Report Date : NOV 1970

Pagination or Media Count : 6

Abstract : The following problem is discussed: Describe, on a 3x5 card, as large an integer K as you can. The rules are necessarily vague: Rule 1: 'Normal' size writing. Rule 2: K must be well defined and there must be a well defined way of determining K. It is not necessary to prove that the definition of K has these properties on the card. This rule excludes 'K = 1 if Femats Last Theorem is True, otherwise K = minimal n > 2 such that (x to the nth power) + (y to the nth power) = (z to the nth power).' Rule 3: Logically paradoxical definitions are not allowed. This excludes 'K = 1 + the largest integer describable on a 3x5 card.' Rule 4: All reasonably standard mathematical conventions are allowable. (Author)

Descriptors :   (*NUMBER THEORY, PROBLEM SOLVING)

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE