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· 2003

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math.NT 1

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2026 1

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Seven squares from three numbers

math.NT · 2026-04-09 · unverdicted · novelty 6.0

Infinitely many distinct nonzero rational triples {a,b,c} exist making seven expressions (a+1 through abc+1) perfect squares, but none exist among positive integers.

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  • Seven squares from three numbers math.NT · 2026-04-09 · unverdicted · none · ref 15

    Infinitely many distinct nonzero rational triples {a,b,c} exist making seven expressions (a+1 through abc+1) perfect squares, but none exist among positive integers.