MathDB

Find minimum n

Source: China TST 2003

June 29, 2006

modular arithmeticquadraticsnumber theory unsolvednumber theory

Problem Statement

Positive integer

n

cannot be divided by

2

and

3

, there are no nonnegative integers

a

and

b

such that

|2^a-3^b|=n

. Find the minimum value of

n