# Difference between revisions of "Semiprime"

(Created page with "In mathematics, a '''semiprime''' is a number that is the product of two primes. ==Examples== *<math>9</math> is an example of a semiprime as it is the...") |
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− | In [[mathematics]], a '''semiprime''' is a [[number]] that is the [[product]] of two [[prime|primes]]. | + | In [[mathematics]], a '''semiprime''' is a [[number]] that is the [[product]] of two not necessarily distinct [[prime|primes]]. These integers are important in many contexts, including [[cryptography]]. |

==Examples== | ==Examples== | ||

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Other examples include: <math>25</math>, <math>15</math>, <math>39</math>, <math>221</math>, <math>437</math>, and <math>1537</math>. | Other examples include: <math>25</math>, <math>15</math>, <math>39</math>, <math>221</math>, <math>437</math>, and <math>1537</math>. | ||

− | == | + | ==Examples of non-semiprimes== |

− | + | *<math>17</math>, as it is only a prime number. | |

− | <math>12</math> | + | *<math>12</math>, not a semiprime because it can obtained by <math>3*4</math> or <math>2*6</math>. |

+ | |||

+ | ==See Also== | ||

+ | *[[Prime]] | ||

+ | *[[Factor]] | ||

+ | *[[Prime factorization]] | ||

+ | |||

+ | [[Category:Number theory]] | ||

+ | {{stub}} |

## Revision as of 17:05, 25 January 2020

In mathematics, a **semiprime** is a number that is the product of two not necessarily distinct primes. These integers are important in many contexts, including cryptography.

## Examples

- is an example of a semiprime as it is the product of two threes. .
- is also an example as it is obtained by .

Other examples include: , , , , , and .

## Examples of non-semiprimes

- , as it is only a prime number.
- , not a semiprime because it can obtained by or .

## See Also

*This article is a stub. Help us out by expanding it.*