Powers and numbers in sequence
I've been working on various forms to create primes, and came up with one that doen't create primes itself (though a similar one does), but has interesting properties:
n^21 = (n1)(n+1). I expanded this into n^2x^2 = (nx)(n+x), and also found n^2+x^2 = (nx)(n+x)+x.
The cubed form of n then is expressed as n^3nx^2 = (nx)(n)(n+x) and n^3+nx^2 = (nx)(n)(n+x)+2nx^2 .
The first n^4 equation is n^44*n^2*x^2n^2+n(n4) = (n2x)(nx)(n+x)(n+2x), but I haven't found the equation beginning with n^4+4*n^2*x^2.
Can anyone shed some light on the problem?
Thanks,
Roger
PS  equations may not be completely accurate  will verify by next post [signs etc]
