Fungrim entry: 0b643d

Symbol: PrimeNumber —

p_{n}

— nth prime number

Domain	Codomain
$n \in \mathbb{Z}_{\ge 1}$	$p_{n} \in \mathbb{P}$

Table data:

\left(P, Q\right)

such that

\left(P\right) \;\implies\; \left(Q\right)

Definitions:

Fungrim symbol	Notation	Short description
`PrimeNumber`	$p_{n}$	nth prime number
`ZZGreaterEqual`	$\mathbb{Z}_{\ge n}$	Integers greater than or equal to n
`PP`	$\mathbb{P}$	Prime numbers

Source code for this entry:

Entry(ID("0b643d"),
    SymbolDefinition(PrimeNumber, PrimeNumber(n), "nth prime number"),
    Table(TableRelation(Tuple(P, Q), Implies(P, Q)), TableHeadings(Description("Domain"), Description("Codomain")), List(Tuple(Element(n, ZZGreaterEqual(1)), Element(PrimeNumber(n), PP)))))

Topics using this entry

Prime numbers

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC