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Erdős problem 853 - part ii Let d n = p n + 1 − p n d_n = p_{n+1} - p_n d n = p n + 1 − p n , where
is the
th prime. Let
be the smallest even
integer
such that
has no solutions for
.
Is it true that
r ( x ) / log x → ∞ r(x) / \log x \to \infty r ( x ) / log x → ∞ ?
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Lean type
Filter.Tendsto (fun n => ↑(Erdos853.r n) / Real.log ↑n) Filter.atTop Filter.atTopWhat you must prove
import FormalConjectures.ErdosProblems.«853»
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "Erdos853.erdos_853.parts.ii" := by
sorry
end Bounty
Pinned source: FormalConjectures/ErdosProblems/853.lean
Source type SHA-256 sha256:35cc28a6d3947513cdcb0d0cfa66afc02eae6c01da68156231c9c953f980b5b9
Task id fc-379fc029-parts-ii-2b0774c1ab-formalized-v1
Task commitment sha256:b38bef1b958be126a6c102f82670484f6900ab7865ea35d29d8fe60bad98f142 Something wrong with this formalization?
A statement that does not faithfully capture the original conjecture is the one real risk here, so we would rather hear about it early - before someone spends weeks on it.
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Erdős problem 853 - part ii · Conjectures.io