Whilst getting out of bed, I was thinking of this:
- where all variables are prime - is another prime.
The equation cannot be simplified algebraically.
We'll have to prove this numerically (i.e. manually).
Let's do the primes :
Now looking at the square numbers (up to limit of what we've done):
Now reducing it to prime square numbers (i.e. when primes are squared, it produces a square number):
The closest squarime is which is away from the nearest square number, that is .
I don't know if there is any squarimes defined like this.
I'd request anybody to find a general function that proves whether there is or not any squarimes according to my definitions and restrictions.