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# prime number

noun, Mathematics.
1.
a positive integer that is not divisible without remainder by any integer except itself and 1, with 1 often excluded:
The integers 2, 3, 5, and 7 are prime numbers.
Also called prime.
Origin of prime number
1585-1595
First recorded in 1585-95
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2018.
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Examples from the Web for prime number
Historical Examples
• A number (other than 1) which is not a prime number is called a composite number.

• This is the prime number, every other number being simply so many units.

W. T. Stace
• A number (other than 1) which has no factor except itself is called a prime number, or, more briefly, a prime.

• Suppose the hyperbolic logarithm of the prime number 43,867 required.

• The difficulty lies wholly with those cases where n is a prime number.

Henry Ernest Dudeney
• But then, he says, it is absolutely necessary that the basis of numeration should be a prime number.

John-Stuart Mill
British Dictionary definitions for prime number

## prime number

noun
1.
an integer that cannot be factorized into other integers but is only divisible by itself or 1, such as 2, 3, 5, 7, and 11 Sometimes shortened to prime Compare composite number
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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prime number in Science
 prime number   A positive integer greater than 1 that can only be divided by itself and 1 without leaving a remainder. Examples of prime numbers are 7, 23, and 67. Compare composite number.
The American Heritage® Science Dictionary
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prime number in Culture

### prime number definition

A number that cannot be divided evenly by any other number except itself and the number one; 1, 3, 5, 7, and 11 are prime numbers.

The New Dictionary of Cultural Literacy, Third Edition