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MathNet 2016-part-06 — 184 problems (EN–VI) Question 181

Math Olympiad Vault · MathNet 2016-part-06 — 184 problems (EN–VI)

Question 181

There are four numbers on the board: $1$, $3$, $6$ and $10$. Each time we can erase any two numbers $a$, $b$ written on the board and write numbers $a+b$, $ab$ instead. Can we obtain such four numbers

a) $2015$, $2016$, $2017$, $2018$; after several moves?

b) $2016$, $2017$, $2019$, $2022$