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

Source: Lusophon 2019 CPLP P1

December 31, 2019

number theoryDigitsdivisible

Problem Statement

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