OpenAI reports positive lower density of large prime gaps
- Mathematics
For every fixed C>0, a positive lower proportion of consecutive prime gaps pₙ₊₁−pₙ exceed C log pₙ.
For every fixed C>0, a positive lower proportion of consecutive prime gaps pₙ₊₁−pₙ exceed C log pₙ.
For every fixed C>0, a positive lower proportion of consecutive prime gaps pₙ₊₁−pₙ exceed C log pₙ.
For every fixed C>0, a positive lower proportion of consecutive prime gaps pₙ₊₁−pₙ exceed C log pₙ.
If correct, changes the frequency known for large consecutive prime gaps, beyond existence of isolated examples.
Do gaps above every fixed multiple of log p occur at positive lower density?
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