1

Part of 2019 Lusophon Mathematical Olympiad

Problems(1)

any 2 consecutive digits of a sequence from 1-9 are divisible by 7 or 13

Source: Lusophon 2019 CPLP P1

Find a way to write all the digits of

1

9

in a sequence and without repetition, so that the numbers determined by any two consecutive digits of the sequence are divisible by

7

13

number theoryDigitsdivisible