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Conjecture

Oppermann's Conjecture

Number Theory

Oppermann's conjecture is an unsolved problem on the distribution of prime numbers, closely related to but stronger than Legendre's conjecture, Andrica's conjecture and Brocard's conjecture. It is named after Danish mathematician Ludvig Oppermann, who announced it in an unpublished lecture in March 1877. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Statement
For every integer n greater than 1, there is at least one prime number between n(n-1) and n^2, and at least another prime between n^2 and n(n+1). 1
Proposed Year
1877 1
Classification
Resolution Status
Open 1
Prize Status
Prize Status (category)
No Prize Offered 1
Sources
1. Oppermann's Conjecture (Wikipedia)
Wikimedia Foundation
  • Lead section
    announced it in an unpublished lecture in March 1877
  • Statement
    The conjecture states that, for every integer n > 1, there is at least one prime number between
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