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Cramér's conjecture

In number theory, Cramér's conjecture, formulated by the Swedish mathematician Harald Cramér in 1936, is an estimate for the size of gaps between consecutive prime numbers: intuitively, that gaps between consecutive primes are always small, and the conjecture quantifies asymptotically just how small they must be. It states that

Products, Conditional proven results on prime gaps & Heuristic justification

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Conditional proven results on prime gaps

Heuristic justification

Related conjectures and heuristics

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Cramér's conjecture

Nodes40
Edges39
Triples8
Avg. degree1.95
Density0.05
Components1

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Cramér's conjecture

Top relations

related to Heuristic justification · 4
Cramér's conjecture → Cramér, Cramér's, In, This
related to Related conjectures and heuristics · 4
Cramér's conjecture → Cadwell, Cramér's, Daniel Shanks, Shanks

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Important terminology

conjecture cramér cramér's prime displaystyle gaps log number heuristic primes model theory stronger proven numbers conjectured one pintz zbl known

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Cramér's conjecturerelated to Heuristic justificationCramér's0.60section
Cramér's conjecturerelated to Heuristic justificationThis0.60section
Cramér's conjecturerelated to Heuristic justificationCramér0.60section
Cramér's conjecturerelated to Heuristic justificationIn0.60section
Cramér's conjecturerelated to Related conjectures and heuristicsDaniel Shanks0.60section
Cramér's conjecturerelated to Related conjectures and heuristicsCramér's0.60section
Cramér's conjecturerelated to Related conjectures and heuristicsCadwell0.60section
Cramér's conjecturerelated to Related conjectures and heuristicsShanks0.60section

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