Oblong Numbers Representable as Sums of

Two Squares and Primes of the Form $4u^2+1$

Two Squares and Primes of the Form $4u^2+1$

1) Click here for Mathematica
notebook which generates solutions to: $u^2 + t^2 = n(n+1)$

2) Click here for: "A
Model for the Sum of Two Squares" pdf (an interesting
visualization tool)

*Researchers with Autocad can click
here for a lisp routine to explore the sums of squares model.

*Click here for an wmv file
(9 meg) which shows the lisp routine working.

3) Excel file
with prime values of $u \in S$ up to 1000, indicating whether t is also
prime.

4) What went wrong in section
two of arxiv.org submission? (pdf)

The density of lattice points that satisfy $u^2+t^2=n(n+1)$ enclosed in a circle of indicated radius.