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Erdős problem 887

Is there an absolute constant KK such that, for every C>0C > 0, if nn is sufficiently large then nn has at most KK divisors in (n12,n12+Cn14)(n^{\frac{1}{2}}, n^{\frac{1}{2}} + C n^{\frac{1}{4}}).

How the state got here

0 of 6 recorded
  1. Prior stateNone retained
  2. WorkNo submitted work retained
  3. VerificationNo check retained
  4. DecisionNo Repository has decided
  5. StandingNothing recorded here
  6. Next gapNot recorded

Result history

Published changes, performers, checks, and later corrections.

No result history yet
No proposed change is retained for this Problem, so there is nothing to show a decision on.

Correction history

No correction history

Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:b7751274d3496049a00a81e9a2b734c7ad0dda2dcf62838666b751842b35c090
Metadata
sha256:1f1f8d783521e857f5f69d133c8dfbb851fcf9e236b36d9b16abe923641a0f2e
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:8ae5ccd492573a8b21cc9278213c08521a2f11142794fac4ab22f0c315d0c29c
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb

Source review

1 exact matching record

Native pull-request state, mechanical checks, semantic findings, and artifact availability are separate source facts. None is a Vela Verification, Decision, or change to Math Standing.

Formal Conjectures PR #1237

FormalConjectures/ErdosProblems/887.lean

PR mergedreview approvedsource audit: needs revision
failsemantic

answer slot scope fidelity

At exact PR 1237 head 28860856/blob 6feb58b9, the docstring asks for one absolute K, but answer(sorry) occurs under the C and n binders.

Witness: For each bound instance the answer slot can take the left-hand divisor count, and le_refl closes that instance; the slot therefore does not choose one absolute K.

Limit: The clean-candidate ground-truth exit still requires a separate independent-human fidelity pass. The witness is exact-head and does not rely on later Erdős 887 rewrites.

passmechanical

lean build

The exact PR head completed the repository Build project job successfully.

Limit: A successful build does not establish answer-slot scope fidelity.

Read-only projection

Approval and merge remain upstream PR state. A passing build does not establish semantic fidelity. An unavailable artifact identity is not a proof failure.

Adapter conformance 9 / 9: exact source revision, bounded complete reads, typed roots, custody, implementation identity, reconstructibility, unsupported-state refusal, rights, and lifecycle semantics.

Web read projection
sha256:ca753f3b6ad07fd62ef1035ae56de1646cb2133dd1705f991bf29a2bd7da2780
Math source projection
sha256:1a90cbe1732e21e730753a12e6b3b1ecbd3e0019a287a5ba001c9a9fdccf881b
Adapter profile
sha256:6491df603d880f00dc7e69cb0817fda1a0d903efee3812c5af3c7b3e02773303
Adapter contract
sha256:5de25828202d0682f8ac39c2e58e5d9ed7a3f0474910d77c1c4e641a08543615