MathDB

2010 PUMaC Ind. Finals B3: digits in reverse order

Source:

August 31, 2011

Digitsdecimal representationnumber theory

Problem Statement

Find (with proof) all natural numbers

n

such that, for some natural numbers

a

and

b

a\ne b

, the digits in the decimal representations of the two numbers

n^a+1

and

n^b+1

are in reverse order.