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Prove or Disprove. 100 Conjectures from the OEIS

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arxiv math/0409509 v4 pith:OD442RXL submitted 2004-09-27 math.CO math.NT

Ralf Stephan This is my paper · ORCID
classification math.COmath.NT
keywords conjecturesbrieflycollectiondifficultdisproveeasyfieldshere
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Presented here are over one hundred conjectures ranging from easy to difficult, from many mathematical fields. I also summarize briefly methods and tools that have led to this collection.

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  1. Prime Quadruplets and Jump Conditions on Arithmetic Functions

    math.NT 2026-06 unverdicted novelty 6.0 of 10

    When both n and n+12 are products of two distinct primes, the jump-12 equations force n=p(p+8) with (p,p+2,p+6,p+8) prime; prime powers never work.

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