Abababcb and perfect square puzzle

K Sengupta · Jun 12, 2009

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.

negitron · Jun 16, 2009

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

Edgardo · Aug 3, 2009

My solution:

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

Abababcb and perfect square puzzle

Discussion

Similar threads

Challenge problem #2 Show that 5φ^2n+4(−1)^n is a perfect square

High School Term for the square added to an odd integer to make a perfect square

High School Completing the square to form perfect square trinomials

Proof that x=0 for Integers with Perfect Square Property

Find A in abcd=A(four digital number) is a perfect square ,given ab=2cd+1

Undergrad How to find if a quadratic expression is a perfect square

Find a 5-digit number whose half is a perfect cube and one-third is a perfect square

Undergrad A perfect square inside a circle and a perfect square

Find n in Perfect Square

What term should be deleted to make a perfect square?