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n^4+6n^3+11n^2+3n+31 a perfect square

Source: Netherlands - Dutch NMO 1974, year 1974-75 (also named as 1975 -1) p4

January 27, 2023
Perfect Squarenumber theory

Problem Statement

For which nn is n4+6n3+11n2+3n+31n^4+6n^3+11n^2+3n+31 a perfect square?