Square table
Determine the largest integer n for which the square table n×n can be filled with natural numbers from 1 to n2 (n squared) so that at least one square power of the integer is written in each of its 3×3 square parts.
Final Answer:

You need to know the following knowledge to solve this word math problem:
arithmeticplanimetricsbasic operations and conceptsnumbersthemes, topicsGrade of the word problem
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Z9–I–1
All nine fields of given shape are to be filled with natural numbers so that: • each of the numbers 2, 4, 6, and 8 is used at least once, • four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square, • in t - Lotto ticket jackpot
Determine how many different ways a Lotto ticket can be written if we guess six numbers out of 49. At what Jackpot would it already pay to bet so many tickets to be guaranteed to win the 1st prize? The price of one type is €1. - Z9-I-4
Kate thought of a five-digit integer. She wrote the sum of this number and its half in the first line of the workbook. Write a total of this number and its fifth on the second line. She wrote a sum of this number and its one nines on the third row. Finall - Rectangle
The perimeter of the rectangle is 22 cm, and the area is 30 cm². Determine its dimensions if integers express the length of the sides of the rectangle in centimeters. - Alien ship
The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the large - Air draft
The numbers 1,2,3,4,5 are written on five tickets on the table. Air draft randomly shuffled the tickets and composed a 5-digit number from them. What is the probability that he passed: and the largest possible number b, the smallest possible number c, a n - Perfect cube
Which of the following numbers is not a perfect cube? a. 64 b. 729 c. 800 d. 1331
