## Puzzle #61: How Many Pearls

This is a simple puzzle, and would love for children to try it! I picked this up from a new website recommended to me by my wife – Brilliant.org…has a great selection of puzzles. This specific puzzle was posted by Victor Paes Plinio from Brazil. Here is the puzzle:

A king has a chest that is filled with pearls. He wants to find a good and reliable treasurer to take care of his pearls. As such, he created a riddle for his villagers to solve; whosever solved it correctly first will become the new royal treasurer. The riddle is as follows:

“In this chest I have a number of pearls.
If I remove one, the number becomes a perfect square.
If I remove 2, the number becomes a multiple by 9.
If I divide these pearls amongst 5 knights equally, there is 1 left over.
If I divide them amongst 8 knights, then there are 5 left over.
The number of pearls is prime.”

What is the minimum number of pearls in the king’s chest?

As always, please send your answers directly to me at alokgoyal_2001@yahoo.com. If you like the puzzle, please share it with others. If you have interesting puzzles to share, please send them to me at my e-mail given above.

Happy solving!

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