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Can you express every odd prime number as the difference of two squares?
Wiki User
∙ 13y ago
Every odd number greater than one is the difference of two squares. This includes all the odd prime numbers.
To find the two numbers whose difference of squares equals a particular odd number, divide the odd number by 2. The two numbers are the integers immediately below and above that dividend.
For example, 17 is the difference of two squares. Divide 17 by 2 and get 8.5. The two numbers are 8 and 9. 92 - 82 = 81 - 64 = 17.
Wiki User
∙ 13y ago
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Can you express every odd prime number as the difference of two square numbers?
All odd numbers are in the form of (2n + 1) form some integer n. (2n + 1) can be expanded into (n+1)^2 + n^2, which is the difference of two squares.
How do you express a percent as a fraction or a mixed number?
The percent sign in every percent means, "out of 100." Therefore, to express a percent as a fraction, simply place the percent number over 100 and simplify if possible. If it is an improper fraction, to change it into a mixed number, see: http://wiki.answers.com/Q/How_do_you_express_a_fraction_into_a_mixed_number&updated=1&waNoAnsSet=2
Is every natural number a whole number?
Yes, every natural number is a whole number.
Is Every Whole Number a factor of 1 and why?
No, 1 is a factor of every whole number because 1 is a factor of every whole number.
How many integers less than 100 have an odd number of factors?
There are 9 integers less than 100 that have an odd number of factors.Every factor of a number has a pair, eg 2 & 3 are a factor pair of 6; and so it would be expected that every number has an even number of factors.However, if the factor pair of a number are the same number (eg 6 & 6 are a factor pair of 36), then there will be an odd number of factors.When there is a repeated factor like this, the number is a perfect square.Thus only perfect squares have an odd number of factors.Less than 100 there are 9 perfect squares (1, 4, 9, 16, 25, 36, 49, 64 & 81) which have an odd number of factors.100 itself is a perfect square and also has an odd number of factors, but the question asked for those numbers less than 100 with an odd number of factors.
Can you express every odd prime number as the difference of two square numbers?
All odd numbers are in the form of (2n + 1) form some integer n. (2n + 1) can be expanded into (n+1)^2 + n^2, which is the difference of two squares.
What is the name of the math sequence where you add every odd number?
Perfect squares.
Which ratio shows the number of black squares to every one white squares?
12:1
True or false- every odd whole number can be written as the difference of two squares?
it's true for every odd number greater than 1, because the difference between the squares of two consecutive numbers is always a unique odd number eg: 42 - 32 = 7, 52 - 42 = 9 etc etc. Every odd number, call it x, is the sum of two consecutive numbers, call them n and n + 1. To find the two squares that differ by x, all you need do is add n and n + 1. Eg the squares which differ by 101 are 502 and 512 (2500 and 2601). Similarly to find the difference between the squares of two successive numbers, just add the two numbers, see examples above. Proof: x = n + (n + 1) (n + 1)2 - n2 = n2 + 2n + 1 - n2 = 2n + 1 = n + (n +1) = x
Which numbers are NOT perfect squares?
In the complex field, every number is a square so there are no numbers that are not squares. If the domain is reduced to that of real numbers, any negative number is not a square. However, the term "square numbers" (not number's!) is often used to refer to perfect square numbers. These are numbers that are squares of integers. Therefore the squares of fractions or Irrational Numbers are non-squares.
Which numbers are not square number's?
In the complex field, every number is a square so there are no numbers that are not squares. If the domain is reduced to that of real numbers, any negative number is not a square. However, the term "square numbers" (not number's!) is often used to refer to perfect square numbers. These are numbers that are squares of integers. Therefore the squares of fractions or irrational numbers are non-squares.
How many square numbers between 100 and 1000?
Infinitely many, since every positive number is a square of some other number. However, there are 21 perfect squares (SQUARES OF INTEGERS). From 112 to 312, inclusive.
What shapes have perallel opposite sides?
-- every parallelogram (including rectangles, squares, and rhombera)-- trapezia (trapezoids)-- every regular polygon with an even number of sides
Is it possible that two American Express Travellers cheques are completely identical including every number on them?
No.
What is the difference between migrate and migration?
migrate is a verb, it expresses action. 'They migrate every year.' migration is a noun, it express a thing. 'Every year there is a massive migration.
What is the definition of a common difference in a sequence?
common difference is the difference in every two consecutive numbers in the sequence .. or in the other way around, its the number added to a number that resulted to the next number of the sequence ..
What is an example of a non perfect square?
Well, the basic idea is that every positive number is the square of some number. For example, 2 is the square of a number known as the square root of 2; 3 is the square of a number known as the square root of 3; etc. The "perfect squares" are the squares of integers. That would make all other numbers "non-perfect squares", though this term is not usually used in practice.
