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It is Fermat's theorem on the sum of two squares.

An odd prime p can be expressed as a sum of two different squares if and only if p = 1 mod(4)

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Q: What is the rule which tests whether a prime number can be written as the sum of two different squares?
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How will you calculate squares in grid?

Count the number of squares across the top of the grid, the count the number of squares down the side of the grid. Then multiply these two numbers If you have a grid of 100 squares by 60 squares then the number of squares in the grid is 100x60 = 6000


Can magic squares equal something that is not 15?

Yes. Just add the same number to each square and see what happens. Also, there are magic squares of different sizes.


How do you work out- find the proportion of the shaded squares write as a fraction?

-- Look at the picture, count how many squares are shaded, write down the number. -- Look at the picture again, count how many squares there are all together, whether they're shaded or not shaded. Write down the number. -- Make a fraction. Put the first number on top, put the second number on the bottom. (-- Reduce the fraction to lowest terms, it necessary, and if you know how to do that.)


How many squares in a rectangle?

An infinite number of squares can be placed within a rectangle.


Is the number of squares needed to cover a region called its area?

No. It is the number of squares multiplied by the area of each square. This is equivalent to specifying the measurement units.No. It is the number of squares multiplied by the area of each square. This is equivalent to specifying the measurement units.No. It is the number of squares multiplied by the area of each square. This is equivalent to specifying the measurement units.No. It is the number of squares multiplied by the area of each square. This is equivalent to specifying the measurement units.

Related questions

Why do they skip numbers in crossword puzzles?

The only number the squares a word begins on. They number the squares that a word begins on whether it is across or down. That it why it appears that they number more squares. They skip all the numbered squares that a new work doesn't start on.


How many different squares can fit on a 5x5 geoboard?

The number of squares found in a geo board is 25.


How many squares are inside a circle?

None unless you draw some inside. ^ Terrible answer: There can be many different numbers of squares inside a circle. As the size of the squares goes to zero, the number of squares goes to infinity.


What is the smallest number whose factors are the squares of two different prime numbers?

36


How many Squares are in a 7 by 7 grid?

There are 49 of the smallest squares. However, any grid forms "squares" that consist of more than one of the smallest squares. For example, there are four different 6x6 squares that each include 36 of the small squares, nine different 5x5 squares, sixteen 4x4 squares, twenty-five 3 x 3 squares, and thirty-six different squares that contain 4 of the small squares. One could therefore discern 140 distinct "squares." The number can be calculated from the formula [(n)(n+1)(2n+1)] / 6 where n is the grid size.


How will you calculate squares in grid?

Count the number of squares across the top of the grid, the count the number of squares down the side of the grid. Then multiply these two numbers If you have a grid of 100 squares by 60 squares then the number of squares in the grid is 100x60 = 6000


Can magic squares equal something that is not 15?

Yes. Just add the same number to each square and see what happens. Also, there are magic squares of different sizes.


How do you found the set of points x and y of an graph?

x is the number of squares to the right or left a point is from zero y is the number of squares up or down the point is from zero and ordered pair is written (x,y)


How do you work out shaded squares?

Count all the squares then count the shaded squares put the shaded number at the top and the number of all squares at the bottom so it might look like this ⅜ 8 is the total and 3 is the number of shaded squares


How do you work out- find the proportion of the shaded squares write as a fraction?

-- Look at the picture, count how many squares are shaded, write down the number. -- Look at the picture again, count how many squares there are all together, whether they're shaded or not shaded. Write down the number. -- Make a fraction. Put the first number on top, put the second number on the bottom. (-- Reduce the fraction to lowest terms, it necessary, and if you know how to do that.)


How are perfect squares and irrational squares same?

No. Perfect squares as the squares of the integers, whereas irrational squares as the squares of irrational numbers, but some irrational numbers squared are whole numbers, eg √2 (an irrational number) squared is a whole number.


What has the author Frank Murphy written?

Frank Murphy has written: 'Ben Franklin and the magic squares' -- subject(s): Fiction, Juvenile fiction, Number games, Mathematical recreations 'Ben Franklin and the magic squares' -- subject(s): Juvenile fiction, Fiction, Number games, Mathematical recreations