Complicated scores

Number Theory Level pending

A game is played between two players such that at every round the players receive , based on some rule which was decided prior the game , A or B points (where A , B are distinct positive integers) which are added at the final cumulative score of the players until that round.

Knowing that there are 35 cumulative scores a player can't obtain (that meaning no matter how he receives A and B points he can't obtain this 35 scores) and that one of this scores is of 58 points , try to find A , B and then input your answer as A*B+1 anyway. For clarity , 0 also has to be counted among the possible or impossible scores. To give an example , for A = 4 , B = 6 a player could obtain 8 by receiving A 2 times but an impossible score would be 2.

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