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Omni-MATH / Determine the maximum value of m²+n², where m and n are integers in the range 1,2,…,1981 satisfying (n²−mn−m²)²=1.

Problem

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problem

Determine the maximum value of m2+n2m^2+n^2, where mm and nn are integers in the range 1,2,…,19811,2,\ldots,1981 satisfying (n2−mn−m2)2=1(n^2-mn-m^2)^2=1.
Plain-text mathematical notation (without MathML)
Determine the maximum value of m²+n², where m and n are integers in the range 1,2,…,1981 satisfying (n²−mn−m²)²=1.
Original LaTeX notation
Determine the maximum value of $m^2+n^2$, where $m$ and $n$ are integers in the range $1,2,\ldots,1981$ satisfying $(n^2-mn-m^2)^2=1$.

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Source and history

task_id
1f860ea6-960f-5640-bc02-d4a678878f7a
task_key
test--1f860ea6-960f-5640-bc02-d4a678878f7a
task_revision_id
1
config / split
/ test

Official source

initial import