cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A079447 Primes p such that there is an integer k satisfying p = floor(k*H(k)) where H(k) denotes the k-th harmonic number (i.e., H(k) = 1 + 1/2 + 1/3 + ... + 1/k).

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%I A079447 #16 Aug 14 2025 04:42:45
%S A079447 3,5,11,29,37,41,67,71,109,181,197,241,263,269,349,367,373,379,397,
%T A079447 409,421,433,439,457,463,487,587,593,599,631,701,727,773,911,971,991,
%U A079447 1039,1093,1223,1237,1279,1307,1321,1433,1447,1489,1553,1567,1667,1747,1783
%N A079447 Primes p such that there is an integer k satisfying p = floor(k*H(k)) where H(k) denotes the k-th harmonic number (i.e., H(k) = 1 + 1/2 + 1/3 + ... + 1/k).
%e A079447 10*Sum_{j=1..10} 1/j = 29.2896825..., hence 29 = floor(10*H(10)) and 29 is in the sequence.
%Y A079447 Primes in A052488.
%Y A079447 Cf. A001008/A002805.
%K A079447 nonn
%O A079447 1,1
%A A079447 _Benoit Cloitre_, Jan 13 2003
%E A079447 Data corrected by _Sean A. Irvine_, Aug 13 2025