MathDB
TOT 177 1988 Spring Train S3 partition of set of all 10-digit numbers

Source:

May 20, 2020
number theorypartitionSubsetscombinatorics

Problem Statement

The set of all 1010-digit numbers may be represented as a union of two subsets: the subset MM consisting of all 1010-digit numbers, each of which may be represented as a product of two 55-digit numbers, and the subset NN , containing the remaining 1010-digit numbers . Which of the sets MM and NN contains more elements?
(S. Fomin , Leningrad)