Sum of Squares

Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways?




Similar Riddles

Henry has been caught stealing cattle and is brought into town for justice. The judge is his ex-wife Gretchen, who wants to show him some sympathy, but the law calls for two shots to be taken at Henry from close range. To make things a little better for Henry, Gretchen tells him she will place two bullets into a six-chambered revolver in successive order. She will spin the chamber, close it, and take one shot. If Henry is still alive, she will then either take another shot, or spin the chamber again before shooting.

Henry is a bit incredulous that his ex-wife would carry out the punishment, and a bit sad that she was always such a rule follower. He steels himself as Gretchen loads the chambers, spins the revolver, and pulls the trigger. Whew! It was blank. Then Gretchen asks, 'Do you want me to pull the trigger again, or should I spin the chamber a second time before pulling the trigger?'

What should Henry choose?

Asked by Neha on 16 Mar 2026


The captain of a ship was telling this interesting story: "We travelled the sea far and wide. At one time, two of my sailors were standing on opposite sides of the ship. One was looking west and the other one east. And at the same time, they could see each other clearly." How can that be possible?

Asked by Neha on 26 Mar 2024

How many triangles are there on the puzzle below?

Let

Asked by Neha on 10 Feb 2024


In a certain bank, a man deposits a certain amount. According to the bank policies, the amount will be doubled up in a year but as the service charge, they will also deduct Rs. 65 by the end of every year.

If after the 6th year, the amount becomes 0, what do you think is the original amount he deposited in the bank?

Asked by Neha on 23 Mar 2026

If nine thousand, nine hundred nine dollars is written as $9,909,
how should twelve thousand, twelve hundred twelve dollars be written?

Asked by Neha on 13 Sep 2024

What does man love more than life, and hate more than death or mortal strife; that which satisfied men want; the poor have, and the rich require; the miser spends, the spendthrift saves, and all men carry to their graves?

Asked by Neha on 23 Jun 2025


Look at the below sequence of letters and tell us what the next letter should be:

O T T F F S S ?

Asked by Neha on 02 Jan 2024

There is an English word that can be used up to four times in a row without modifying the spelling and form a valid grammatical sentence.

Do you know what word is that?

Asked by Neha on 18 Aug 2024

A maths symbol is hidden in the below Bar Graph. Can you decipher it?

Maths Symbol Graph

Asked by Neha on 27 Mar 2021


Can you write down eight eights so that they add up to one thousand?

Asked by Neha on 29 Sep 2021

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There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.