Legendre's conjecture
conjecture that there is a prime between any two square numbers
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Legendre's conjecture
Summary
Legendre's conjecture is a conjecture[1]. It draws 55 Wikipedia views per month (conjecture category, ranking #21 of 128).[2]
Key Facts
- Legendre's conjecture's image is recorded as Plot of number of primes between consecutive squares.png[3].
- Legendre's conjecture's instance of is recorded as conjecture[4].
- Adrien-Marie Legendre is named after Legendre's conjecture[5].
- Legendre's conjecture's Freebase ID is recorded as /m/07s8fl[6].
- Legendre's conjecture's OmegaWiki Defined Meaning is recorded as 734883[7].
- Legendre's conjecture's defining formula is recorded as \nexists n\in\mathbb Z^+\colon \pi((n+1)^2)=\pi(n^2)[8].
- Legendre's conjecture's MathWorld ID is recorded as LegendresConjecture[9].
- Legendre's conjecture's maintained by WikiProject is recorded as WikiProject Mathematics[10].
- Legendre's conjecture's Microsoft Academic ID is recorded as 2776405878[11].
- Legendre's conjecture's ProofWiki ID is recorded as Legendre's_Conjecture[12].
- Legendre's conjecture's in defining formula is recorded as \pi[13].
Body
Designation and Status
Legendre's conjecture's instance of is recorded as conjecture[4].
History and Context
Adrien-Marie Legendre is named after Legendre's conjecture[5].
Why It Matters
Legendre's conjecture draws 55 Wikipedia views per month (conjecture category, ranking #21 of 128).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[14]