Paper Citation Record · LEDGER

An improvement on the largest prime factors of consecutive integers

As of 11 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2607.16032.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.16032 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T21:36:43.910559Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

31 of 31 outbound references displayed

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External citation measurements

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Outbound references

Observation 278fc971-a95c-4db6-b3d1-05b8ef4167cb · outbound

This paper cites Bombieri, J.

An improvement on the largest prime factors of consecutive integers Bombieri, J

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:40.114269Z

Source-reported events for the cited work

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Observation eecb723a-243a-41f9-8796-fdb3f96071ef · outbound

This paper cites Chen and Y.

An improvement on the largest prime factors of consecutive integers Chen and Y

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:40.205043Z

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Observation d23e9973-6569-4d5e-bca8-8b9a30e8bd1b · outbound

This paper cites an unresolved cited work.

An improvement on the largest prime factors of consecutive integers Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:40.292909Z

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Observation ce69d214-daf0-4c0d-9680-675542363b38 · outbound

This paper cites de la Bret` eche, C.

An improvement on the largest prime factors of consecutive integers de la Bret` eche, C

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:40.361128Z

Source-reported events for the cited work

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Observation 18813c76-40e3-40b3-9e93-6b9f75e9c7c5 · outbound

This paper cites Ding,On a conjecture on shifted primes with large prime factors, Arch.

An improvement on the largest prime factors of consecutive integers Ding,On a conjecture on shifted primes with large prime factors, Arch

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:40.427515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 904658bf-c72f-44bb-9f69-cd9149b239ca · outbound

This paper cites Ding,On a conjecture on shifted primes with large prime factors, II, Bull.

An improvement on the largest prime factors of consecutive integers Ding,On a conjecture on shifted primes with large prime factors, II, Bull

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:40.494241Z

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Observation 7b44f08b-2f35-47da-967a-462e0bd8d386 · outbound

This paper cites Ding and Z.

An improvement on the largest prime factors of consecutive integers Ding and Z

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:40.578945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4164b43-91fa-4403-8021-652dd7babbb4 · outbound

This paper cites Erd˝ os,On the normal number of prime factors ofp−1and some related problems concerning Euler’sϕ-function, Q.

An improvement on the largest prime factors of consecutive integers Erd˝ os,On the normal number of prime factors ofp−1and some related problems concerning Euler’sϕ-function, Q

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:40.665257Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56c81844-6f2e-409a-a0d5-2d43988eb623 · outbound

This paper cites Erd˝ os,Some unconventional problems in number theory, Ast´ erisque,61(1979), 73–82.

An improvement on the largest prime factors of consecutive integers Erd˝ os,Some unconventional problems in number theory, Ast´ erisque,61(1979), 73–82

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:40.816739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c15aa978-0960-41aa-b5ff-45be06c2f998 · outbound

This paper cites Erd˝ os and C.

An improvement on the largest prime factors of consecutive integers Erd˝ os and C

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:40.985115Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5656ef5b-7b1e-44e0-a13b-0b38bea18539 · outbound

This paper cites Fouvry,Th´ eor` eme de Brun-Titchmarsh: application au th´ eor` eme de Fermat(in French), Invent.

An improvement on the largest prime factors of consecutive integers Fouvry,Th´ eor` eme de Brun-Titchmarsh: application au th´ eor` eme de Fermat(in French), Invent

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:41.085747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6370689-1343-4b17-a0af-02cb45800139 · outbound

This paper cites Fouvry, G.

An improvement on the largest prime factors of consecutive integers Fouvry, G

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:41.193315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f96a3fa0-6057-4846-bb6a-1b1a7198748e · outbound

This paper cites Hildebrand,On the number of positive integers≤xand free of prime factors> y, J.

An improvement on the largest prime factors of consecutive integers Hildebrand,On the number of positive integers≤xand free of prime factors> y, J

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:41.327281Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7479d317-c8cf-4485-86bd-11e5688f596e · outbound

This paper cites Iwaniec,A new form of the error term in the linear sieve, Acta Arith.,37(1980), 307–320.

An improvement on the largest prime factors of consecutive integers Iwaniec,A new form of the error term in the linear sieve, Acta Arith.,37(1980), 307–320

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:41.444625Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d8739c1-2712-4682-81a2-0d47b643f0bd · outbound

This paper cites Jiang, G.

An improvement on the largest prime factors of consecutive integers Jiang, G

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:41.612319Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9da36b2d-0a5f-4c21-a44b-0c0a8b365ff5 · outbound

This paper cites an unresolved cited work.

An improvement on the largest prime factors of consecutive integers Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:41.776916Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29a91095-457a-4de4-be7c-1194100a8e89 · outbound

This paper cites L¨ u and Z.

An improvement on the largest prime factors of consecutive integers L¨ u and Z

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:41.866712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8164b1c4-8e90-49c2-86c5-52c2693eb44d · outbound

This paper cites an unresolved cited work.

An improvement on the largest prime factors of consecutive integers Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:41.973015Z

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Unavailable: canonical work link unavailable.

Observation 0a8e9d8d-a8cd-4fb2-a595-911bfb0d6a49 · outbound

This paper cites Pascadi,Smooth numbers in arithmetic progressions to large moduli, Compos.

An improvement on the largest prime factors of consecutive integers Pascadi,Smooth numbers in arithmetic progressions to large moduli, Compos

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:42.056137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ee9e021-5c6e-4b5f-b95a-e262b87a93e0 · outbound

This paper cites On the exponents of distribution of primes and smooth numbers.

An improvement on the largest prime factors of consecutive integers On the exponents of distribution of primes and smooth numbers

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:42.216213Z

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Unavailable: canonical work link unavailable.

Observation 58b4273f-fd78-479b-ac16-f9043b21f978 · outbound

This paper cites Rivat,On pseudo-random properties ofP(n)andP(n+ 1), Period.

An improvement on the largest prime factors of consecutive integers Rivat,On pseudo-random properties ofP(n)andP(n+ 1), Period

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:42.393180Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2aae5f1b-d775-40c9-97d1-222d1a4ae930 · outbound

This paper cites S´ os,Turbulent years: Erd˝ os in his correspondence with Tur´ an from 1934 to 1940, in: Paul Erd˝ os and His Mathematics, I (Budapest, 1999), Bolyai Soc.

An improvement on the largest prime factors of consecutive integers S´ os,Turbulent years: Erd˝ os in his correspondence with Tur´ an from 1934 to 1940, in: Paul Erd˝ os and His Mathematics, I (Budapest, 1999), Bolyai Soc

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:42.621836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b21ad13-73ef-42ca-9ad6-4120901ddcdf · outbound

This paper cites Tao and J.

An improvement on the largest prime factors of consecutive integers Tao and J

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:42.810612Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 650fc64d-1857-4e1f-ae64-c67751dbf3c7 · outbound

This paper cites Tenenbaum,Some of Erd˝ os’ unconventional problems in number theory, thirty-four years later, in: Erd˝ os Centennial, Bolyai Soc.

An improvement on the largest prime factors of consecutive integers Tenenbaum,Some of Erd˝ os’ unconventional problems in number theory, thirty-four years later, in: Erd˝ os Centennial, Bolyai Soc

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:42.989074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c88de068-0682-42e0-baec-73edb4dd4075 · outbound

This paper cites Ter¨ av¨ ainen,On binary correlations of multiplicative functions, Forum Math.

An improvement on the largest prime factors of consecutive integers Ter¨ av¨ ainen,On binary correlations of multiplicative functions, Forum Math

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:43.121759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 610c27d4-f226-402a-b107-eaa8d18b1ef0 · outbound

This paper cites Wang,On the largest prime factors of consecutive integers in short intervals, Proc.

An improvement on the largest prime factors of consecutive integers Wang,On the largest prime factors of consecutive integers in short intervals, Proc

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:43.331216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8b2374c-cc6d-4a96-89e8-62facff30caf · outbound

This paper cites Wang,Autour des plus grands facteurs premiers d’entiers cons´ ecutifs voisins d’un entier cribl´ e, Q.

An improvement on the largest prime factors of consecutive integers Wang,Autour des plus grands facteurs premiers d’entiers cons´ ecutifs voisins d’un entier cribl´ e, Q

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:43.414993Z

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Unavailable: canonical work link unavailable.

Observation b98f2413-3c0e-49f5-b9e1-ad9fde0846ca · outbound

This paper cites Wang,Sur les plus grands facteurs premiers d’entiers cons´ ecutifs, Mathematika,64(2018), no.

An improvement on the largest prime factors of consecutive integers Wang,Sur les plus grands facteurs premiers d’entiers cons´ ecutifs, Mathematika,64(2018), no

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:43.532657Z

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Observation 2a55e9ed-2c47-4088-abea-132d5f8b9e30 · outbound

This paper cites Wang,Three conjectures onP +(n)andP +(n+ 1)hold under the Elliott-Halberstam conjecture for friable integers, J.

An improvement on the largest prime factors of consecutive integers Wang,Three conjectures onP +(n)andP +(n+ 1)hold under the Elliott-Halberstam conjecture for friable integers, J

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:43.665992Z

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Observation 43e233c3-ad17-44e4-82a6-817072bfcf45 · outbound

This paper cites Wolke, ¨Uber die mittlere Verteilung der Werte zahlentheoretischer Funktionen auf Restklassen.

An improvement on the largest prime factors of consecutive integers Wolke, ¨Uber die mittlere Verteilung der Werte zahlentheoretischer Funktionen auf Restklassen

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:43.814280Z

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Unavailable: canonical work link unavailable.

Observation f81a0416-a812-4498-9e61-aa078f81d2b5 · outbound

This paper cites Wu,On shifted primes with large prime factors and their products, Arch.

An improvement on the largest prime factors of consecutive integers Wu,On shifted primes with large prime factors and their products, Arch

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T21:36:43.910559Z

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Pith citing papers

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