Polynomials with range containing an arithmetic progression. Can I find a polynomial in a second degree in two variables from the values of which can be found an infinite arithmetic progression?

Maribel Mcintyre

Maribel Mcintyre

Answered question

2022-10-23

Polynomials with range containing an arithmetic progression
Can I find a polynomial in a second degree in two variables from the values of which can be found an infinite arithmetic progression?

Answer & Explanation

Alannah Yang

Alannah Yang

Beginner2022-10-24Added 22 answers

Step 1
Try
f ( x , y ) = x 2 y 2
with a suitable dependence between y and x.
Step 2
y = x 1

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