Calendar Riddle

A Mathematical Riddle

My birthday's in July each year,

The same date every time.

When my birthday is tomorrow,

The day before yesterday is prime.

 

Two weeks after my birthday

The date would always be

A very small square number

Added to a power of three.

 

If my birthday falls on Sunday

The next Saturday furthermore

Has a date with six factors

And is a multiple of four.

 

There are only two possibilities

The verses above create.

Choose the smaller of the two

To find my birthday date.

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