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Determine with proof the set of all prime numbers that can divide 2 successive integers of the form n squared plus 3 where n is a positive integer?
Wiki User
∙ 11y ago
if divides both and , then it will also divide therefore
will divide thus
The last part comes from the fact that:
if gcd(x,y)=g, then .
As proof:
Since g|x and g|y, let x=kg, and y=jg, then we have so g|(mx+ny).
Wiki User
∙ 11y ago
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A decimal can be a positive integer or a negative integer or neither of the above. For example: 26.0 is a positive integer. -52.0 is a negative integer. 26.2 is not an integer at all. 0.0 is an integer, but is neither positive nor negative.
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No, integers can be positive or negative.
How can you compare a positive integer to a negative integer?
All positive integers are all greater than negative integers.
How do divide integers?
* The quotient of two positive integers or two negative integers is positive. * The quotient of a positive integer and a negetive integer is negetive.
The sum of a positive integer?
sum of positive integers will be a positive integer
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No, if a negative integer is multiplied by a positive integer, the product is negative. However, if both of the integers are either positive or negative, the product is positive.
Are decimals positive integers or negative integers?
A decimal can be a positive integer or a negative integer or neither of the above. For example: 26.0 is a positive integer. -52.0 is a negative integer. 26.2 is not an integer at all. 0.0 is an integer, but is neither positive nor negative.
What is a Non-negative integers?
They are simply positive integers
What is a positive integer and what is a negtive integer?
Positive integers are greater than zero. Negative integers are less than zero.
What can you say about the product of an integer and a positive integer?
-- The product is an integer. -- If the original two integers are both positive, then the product is positive. -- If the original two integers have different signs, then the product is negative.
Is all nonnegative integers are positive integers?
No. 0 is a non-negative integer which is not positive.
Is it true that no positive number is an integer?
No, integers can be positive or negative.
Adding two or more positive integers gives what kind of integer?
Another positive integer
Can integers be positive?
Yes, integers can be positive! An integer is basically any whole number, positive ir negative!
