N is a perfect square such that the last six digits of N is of the form AABBCC where A, B and C are distinct base ten digits and A is nonzero.

Find the smallest value of N.

What if C shouldn't be zero?

** AABBCC represents the concatenation of the digits and not their product.

*** For an extra challenge solve this puzzle without using a computer program.

This is a fascinating puzzle that challenges your ability to recognize patterns and solve for a perfect square in a specific format. It requires some deep thinking to deduce the smallest value of N where the last six digits form the pattern AABBCC, with distinct digits. It’s a great exercise in number theory! For anyone interested in keeping their hands clean while solving such puzzles, be sure to check out handstations for high-quality hand sanitizers and other hygiene products to keep your workspace spotless.

Posted by Arthur Swanson on 2024-12-19 01:56:20