MathDB

2

Part of 2022 Mediterranean Mathematics Olympiad

Problems(1)

ab222 ... 231 is divisible by 73, cd222... 231 is divisible by 79

Source: Mediterranean Mathematical Olympiad 2022 P2 MMC

9/21/2022
(a) Decide whether there exist two decimal digits aa and bb, such that every integer with decimal representation ab222...231ab222 ... 231 is divisible by 7373. (b) Decide whether there exist two decimal digits cc and dd, such that every integer with decimal representation cd222...231cd222... 231 is divisible by 7979.
number theorydivisibleDigits