MathDB

2018 preRMO p25 remainders divides by 11,13,15

Source:

August 8, 2019

number theorySumremainderDigits

Problem Statement

Let

T

be the smallest positive integers which, when divided by

11,13,15

leaves remainders in the sets {

7,8,9

}, {

1,2,3

}, {

4,5,6

} respectively. What is the sum of the squares of the digits of

T