Number theory Divisibility and primes Concept
Prime number
Summary
A prime number is a natural number greater than whose only positive divisors are and itself. The definition of a prime number gives the precise form.
Where this leads
37 pages build on this one.
- Koksma–Hlawka inequality
- Z* theorem
- Ramanujan–Petersson conjecture
- Halton sequence
- p-adic absolute value
- Telescope conjecture
- Jordan's theorem on primitive groups containing a prime cycle
- Mertens' theorems
- Regular prime
- Elementary abelian group
- Hall's theorem on solvable groups
- Ravenel conjectures
- Artin's conjecture on primitive roots
- Vinogradov's theorem
- p-adic number
- Chromatic homotopy theory
- Mahler's theorem
- Ulm's theorem
- Hall subgroup
- Cubic reciprocity
- Cauchy–Davenport theorem
- Sylow theorems
- abc conjecture
- Ostrowski's theorem
- Focal subgroup theorem
- Green–Tao theorem
- Place (number field)
- Chebyshev functions
- Brown–Peterson cohomology
- Localization of a space
- Hardy–Littlewood circle method
- ℓ-adic cohomology
- Chen's theorem
- AKS primality test
- Bounded gaps between primes
- Cyclic term theorem
- Integer factorization
Further reading
- Web https://en.wikipedia.org/wiki/Prime_number, lead section
About this page
| Tag | 01826KMG2H |
|---|---|
| URI | m2://01826KMG2H |
| Kind | concept |
| Writing | W1 stated |
| MSC | 11A41 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Results about this
- Groups of prime order are cyclic
- Mertens' theorems
- Green–Tao theorem
- AKS primality test
- Bounded gaps between primes
Special cases
Definitions
Used by
- Ramanujan–Petersson conjecture
- Halton sequence
- p-adic absolute value
- Jordan's theorem on primitive groups containing a prime cycle
- Mertens' theorems
- Regular prime
- Elementary abelian group
- Hall's theorem on solvable groups
- Ravenel conjectures
- Artin's conjecture on primitive roots
- Vinogradov's theorem
- p-adic number
- Chromatic homotopy theory
- Ulm's theorem
- Hall subgroup
- Cubic reciprocity
- Cauchy–Davenport theorem
- Sylow theorems
- abc conjecture
- Ostrowski's theorem
- Focal subgroup theorem
- Green–Tao theorem
- Chebyshev functions
- Brown–Peterson cohomology
- Localization of a space
- Chen's theorem
- AKS primality test
- Bounded gaps between primes
- Cyclic term theorem
- Integer factorization