Question 58
Petryk and Vasyl' are playing a game with the numbers written on the board. In a single one move – Petryk goes first – the player chooses two co-prime numbers out of the ones written on the board, erases them, and writes down their sum instead. The one who can't make the move loses. Who will win if both players play correctly and if the numbers written initially are:
a) $2019$ digits $1$; b) $2020$ digits $1$?
a) $2019$ digits $1$; b) $2020$ digits $1$?