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Conjecture

Cramer's Conjecture

Number Theory

Cramer's conjecture, in number theory, is an estimate for the size of gaps between consecutive prime numbers, formulated by the Swedish mathematician Harald Cramer in 1936. It states that the gap between consecutive primes is bounded, up to a constant factor, by the square of the logarithm of the smaller prime; none of its several proposed forms have yet been proven or disproven. 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
Prize Status
Prize Status (category)
No Prize Offered 1
Classification
Resolution Status
Open 1
Proposed Year
1936 1
Connections

In Branch

Source Cramér's conjecture (Wikipedia)

Posed By

Source Cramér's conjecture (Wikipedia)
Sources
1. Cramer's Conjecture (Wikipedia)
Wikimedia Foundation
  • Lead section
    formulated by the Swedish mathematician Harald Cramer in 1936
  • Lead section, closing sentence
    None of the three forms have yet been proven or disproven.
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Cramér's conjecture (Wikipedia)
  • In Branch: Number Theory, Lead sentence
  • Posed By: Harald Cramer, Lead paragraph
    In number theory, Cramér's conjecture, formulated by the Swedish mathematician Harald Cramér in 1936, is an estimate for the size of gaps between
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