Find Mr Tan's Birthday with logic!

Logic Level 3

Ben and Mark are students of Mr Tan. Mr Tan's birthday is on N/M/1970N/M/1970 and both of them know that Mr Tan's birthday is one of these 1010 dates:

4/3/19704/3/1970

4/6/19704/6/1970

1/9/19701/9/1970

1/12/19701/12/1970

5/3/19705/3/1970

7/6/19707/6/1970

5/9/19705/9/1970

2/12/19702/12/1970

8/3/19708/3/1970

8/12/19708/12/1970

Mr Tan tells Ben the value of MM and tells Marc the value of NN.

Then Mr Tan asks them: "Do you know when is my birthday?"

Ben says: "I don't know, but I can ensure that Mark doesn't know too."

Mark says: "Initially I don't know, but I know it now."

Ben says: "Oh! Then I know it too."

Base on the dialogue and the dates given, can you figure out which date is Mr Tan's Birthday?

Give your answer as M+100NM+100N

Assume Mark and Ben are amazing at their logic

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