Why Old Peter? Because my name is Peter, and I’m an old, retired contract main-frame analyst-programmer.
Diophantine equations fascinate me; I find it thrilling to find new solutions.
My skills, such as they are, are in the design and implementation of systems to find such solutions.
My maths is limited and dated; I’ve forgotten most of what I once knew. However, I still have enough wit left to learn new techniques when I need them.
My pet annoyances are that I’ve not yet found a central repository to post Diophantine solutions, and that my current project is taking so very much longer than I ever expected.
Feel free to visit https://sites.google.com/site/sevensixthpowers/ to see all the primitive solutions I know to the (6,1,7) equation, $t^6 = x^6 + y^6 + z^6 + q^6 + u^6 + v^6 + w^6$ including (about) 228 found by me.
My site also lists my four solutions to the sixth-power version of the Jacobi–Madden equation, $t^6 = x^6 + y^6 + z^6 + q^6 + u^6 + v^6 + w^6 = (x + y + z + q + u + v + w)^6$