bibkey: adamchuk2007a116184 authors: Alexander Adamchuk year: 2007 title: “OEIS A116184, Numbers n such that 37^3 divides the numerator of generalized harmonic number H(36,n) = Sum[ 1/k^n, {k,1,36} ]” doi: null url: https://oeis.org/A116184 claim: “Numbers n such that 37^3 divides the numerator of generalized harmonic number H(36,n) = Sum[ 1/k^n, {k,1,36} ]. Conjecture: All terms of the arithmetic progression 3+36k belong to a(n). Alexander Adamchuk, Apr 08 2007” strata_touched:
- D5/S3/ArithSums/AdamchukGeneralizedHarmonicThirtySevenCubeProgression license: citation-only triage: anchor
OEIS A116184
OEIS A116184 records “Numbers n such that 37^3 divides the numerator of generalized harmonic number H(36,n) = Sum[ 1/k^n, {k,1,36} ].” Alexander Adamchuk’s comment dated April 8, 2007 states:
Conjecture: All terms of the arithmetic progression 3+36k belong to a(n).
Wolstenholme-type congruences of generalized harmonic numbers are a classical topic, while this progression was not found stated anywhere in the checked surfaces; this is not a priority claim.
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- URL: https://oeis.org/A116184
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%N, and Alexander Adamchuk’s April 8, 2007 COMMENT%Cand AUTHOR%A.