The set of all of these is denoted Spec R, where R is a commutative ring and can be made into a topological space via the Zariski topology. An integra
The set of all of these is denoted Spec R, where R is a commutative ring and can be made into a topological space via the Zariski topology. An integral domain results from taking the quotient of a ring with one of these kinds of ideals, which shows that every maximal ideal has this property as well. There are arbitrarily long arithmetic sequences of these by the Green-Tao theorem, and minus one is congruent to n minus one factorial mod n if and only if n is one of these, according to Wilson's theorem. Carmichael numbers do not have this property, despite passing a test based on Fermat's Little theorem. Adding one to the product of all of these is the key idea of Euclid's proof that there must be an infinite number of these kinds of numbers, which come in Germain and Mersenne varieties. For 10 points, name this kind of number which has no proper factors other than one.
The set of all of these is denoted Spec R, where R is a commutative ring and can be made into a topological space via the Zariski topology.
{prime} (accept {prime ideals} or {prime numbers})