Infinitude of -primitive squares

A natural number is called $\Delta$-primitive when it has the $\Delta$ property but is not a nontrivial square multiple of another number with the $\Delta$ property. Infinitude conjecture for $\Delta$-primitive squares. There are infinitely many $\Delta$-primitive squares. The paper proves that there are infinitely many $\Delta$-primitive numbers, but the stronger assertion for squares is presented as an open conjecture.