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Problem of the Week 844

The Integers of 1996

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Find all numbers a such that the solutions to x2 + ax + 1996 = 0 and y2 + 1996y + a = 0 are all integers.

Source: V. Protasov, Quantum, July/August 1997

© Copyright 1997 Stan Wagon. Reproduced with permission.

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2 October 1998