primeness

Primeness and splittability of a link is easily seen from the diagram.

The tie which unites the number three to its properties (such as primeness) is inexplicable.

To people who were in their prime in the 1980's, that decade had a particularly exuberant, dizzying way of celebrating primeness.

One can also define "higher-order" primeness much the same way, and obtain analogous sequences of primes.

We first prove 1.5.1 by employing the standard proof involving definite use of the concepts of irreducibility and primeness.

González-Acuña, F., Short, Hamish, Knot surgery and primeness.

(Mersennes, named for the 17th-century French mathematician Marin Mersenne, are numbers with a form that makes them easier to test for primeness.)

The longer its period (the more relative primeness is built into it) the less frequently it cycles back to the same substitution alphabet, and the more secure it is.

Second proof of Theorem 1.5.1 Once again we quote 1.3.9 (which makes no use of the primeness property) to establish the existence of a decomposition (into irreducibles) in each case.

Before closing this section we offer a delightful second proof of this last theorem in which (the reader is invited to verify) no use is made of the concept of primeness.

Finally in this section we prove (at last!) that every irreducible element in Z is necessarily a prime element so that the concepts of primeness and irreducibility coincide in Z. We need a definition and a trivial consequence.

At last, there were very distinct allusions made by the oldest gentleman of the party to one Whitecross Street, at which the young gentleman, notwithstanding his primeness and his spirit, and his knowledge of life into the bargain, reclined his head upon the table, and howled dismally.