A basket of eggs:

1 1 take it, just finished taking it.

Two out of two leaves 1.

Three, three, just finished.

Four out of four leaves 1.

Five out of five leaves 1.

Six, six, three left.

Seven, seven, just finished eating.

Eight out of eight leaves 1.

Nine, nine, just finished eating.

How many eggs are there in the basket?

1 1 just finished eating, 3 just finished eating, 7 just finished eating, 9 just finished eating, and the number of eggs in the box is a multiple of 4*9 =63.

Binary selection 1, 55 selection 1, unit number 1.

So look for the following numbers: 63×7, 63× 17, 63×27, 63× 37. ...

So the minimum number is 44 1.