Jinjing is very Wrong too

Please think harder...... Wrong ... hope you are not math major...

"3 5 7 first lost", --- Wrong... I will pick first and pick 6 from pile 3.

"3 5 ( 8,9,10,...) First win" - Correct- but from first part of your answer, you did not derive it correctly.

"2, 1 n n+1 first lost," - Wrong - but you are closer. Think about your move for
1-100-101
1-101-102

" 1 n (n+2 ,n+3...) First win". - Wrong- but you are closer.
Think about your move for
1-100 -1000000000000
1-101-1000000000000