> Hello all:

Interesting question. I suspect that there are only finitely many more

>

>

> Find all solutions of this equation:

>

> Sqrt[p(x)*p(x+y)-1]= y

>

> p(x)=x-th prime; Sqrt=Square Root

>

>

>

>

>

> I have found tree solutions:

>

> x=1 y=5 Sqrt[p(1)*p(1+5)-1]=Sqrt[2*13-1]=Sqrt[25]=5

>

> x=3 y=22

>

> x=10 y=186

solutions, perhaps no more, but don't have a clue how to start to prove

this.

Paul