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Metadata 
bibkey: gerasimov2010a177680
authors: Juri-Stepan Gerasimov
year: 2010
title: "OEIS A177680, Numbers n such that 6n and 12n are both the average of twin prime pairs"
doi: null
url: https://oeis.org/A177680
claim: "A177680 %N: Numbers n such that 6n and 12n are both the average of twin prime pairs. A177680 %C: Conjecture: all terms but the first term are multiples of 5. - _Harvey P. Dale_, Sep 26 2017 A177680 %F: a(n)=A066388(n)/6. A177680 %A: _Juri-Stepan Gerasimov_, May 10 2010"
strata_touched:
  - D5/S3/Arith/Congruence/DaleTwinPrimeAverageMultipleOfFive
license: citation-only
triage: anchor

OEIS A177680

The entry defines the positive integers for which both 6n and 12n are averages of twin-prime pairs. Its formula relates the sequence to A066388 by a(n)=A066388(n)/6.

The proof of Dale’s conjecture is an elementary residue argument modulo 5; no priority claim is made.

Verified locator

  • URL: https://oeis.org/A177680
  • Locator: COMMENTS, “Conjecture: all terms but the first term are multiples of 5. - Harvey P. Dale, Sep 26 2017”