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Chisinau MO p122 1976 VIII cyclic criterion, 4 areas in prime numbers

Source:

March 16, 2021
Cyclicgeometryareasnumber theoryprime numbers

Problem Statement

The diagonals of some convex quadrilateral are mutually perpendicular and divide the quadrangle into 44 triangles, the areas of which are expressed by prime numbers. Prove that a circle can be inscribed in this quadrilateral.