In mathematics, the **prime ideal theorem** may be

- the Boolean prime ideal theorem
- the Landau prime ideal theorem on number fields

### Other articles related to "prime ideal theorem, prime, theorem, prime ideals, primes":

Landau

... In algebraic number theory, the

**Prime Ideal Theorem**... In algebraic number theory, the

**prime ideal theorem**is the number field generalization of the**prime**number**theorem**... It provides an asymptotic formula for counting the number of**prime ideals**of a number field K, with norm at most X ... There for any**prime**number p of the form 4n + 1, p factors as a product of two Gaussian**primes**of norm p ...### Famous quotes containing the words theorem, prime and/or ideal:

“To insure the adoration of a *theorem* for any length of time, faith is not enough, a police force is needed as well.”

—Albert Camus (1913–1960)

“The *prime* purpose of being four is to enjoy being four—of secondary importance is to prepare for being five.”

—Jim Trelease (20th century)

“I think the *ideal* situation for a family is to be completely incestuous.”

—William Burroughs (b. 1914)

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