Abababcb and perfect square puzzle

Thread starter K Sengupta
Start date Jun 12, 2009
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Puzzle Square

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The discussion centers on finding all possible values of the base ten positive integer P, structured as abababcb, where (P-1) is a perfect square. The digits a, b, and c must be distinct, with a being a nonzero digit. The user has computed results programmatically and claims to have found two valid solutions for P. They seek confirmation on the correctness of their findings and express interest in sharing the results. The conversation emphasizes the mathematical conditions that define P and the requirement for (P-1) to meet the criteria of being a perfect square.

Jun 12, 2009

K Sengupta

P is a base ten positive integer of the form abababcb, such that (P-1) is a perfect square ; where a, b and c denote three different digits from 0 to 9, with a being nonzero.

Determine all possible value(s) of P for which this is possible.

Last edited: Jun 12, 2009

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Jun 16, 2009

negitron

Science Advisor

I did this programatically and got 2 results. Is this correct and may I post them?

Aug 3, 2009

Edgardo

My solution:

a=4 b=5 c=6
a=8 b=2 c=0

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