MathDB

SAQ: P 4

Part of 2019 Mathematical Talent Reward Programme

Problems(1)

Find such numbers

Source: MTRP 2019 Class 11-Short Answer Type Problems: Problem 4 :-

4/9/2020
Are there infinitely many natural numbers nn such that the sum of 2019th powers of the digits of nn is equal to nn ? You don't need to find any such nn. Just provide mathematical justi fication if you think there are in finitely many or finitely many such natural numbers
number theory