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.

A182519 a(n) = prime(n)^(n+1) - prime(n+1)^n.

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%I A182519 #30 Sep 08 2022 08:45:55
%S A182519 1,2,282,2166,1400268,38610948,6081885702,244376712498,26919365237780,
%T A182519 11380881478725028,609745162009089348,221005733915715119316,
%U A182519 36210963070633268016918,2920403379610288252579938,493840220599528687495132964,183883082249204990404329361972
%N A182519 a(n) = prime(n)^(n+1) - prime(n+1)^n.
%C A182519 Firoozbakht conjecture: a(n) > 0 for all n. Let b(n) = a(n+1) - a(n). Conjecture: c(n) = b(n+1) - b(n) > 0 for all n. - _Thomas Ordowski_, May 07 2013
%H A182519 Amiram Eldar, <a href="/A182519/b182519.txt">Table of n, a(n) for n = 1..301</a>
%H A182519 A. Kourbatov, <a href="http://arxiv.org/abs/1503.01744">Verification of the Firoozbakht conjecture for primes up to four quintillion</a>, arXiv preprint arXiv:1503.01744 [math.NT], 2015
%H A182519 A. Kourbatov, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL18/Kourbatov/kourb7.html">Upper bounds for prime gaps related to Firoozbakht's conjecture</a>, J. Int. Seq. 18 (2015) 15.11.2
%t A182519 Table[Prime[n]^(n+1) - Prime[n+1]^n, {n, 20}] (* _T. D. Noe_, May 03 2012 *)
%o A182519 (Magma) [NthPrime(n)^(n+1)-NthPrime(n+1)^n: n in [1..19]]; // _Vincenzo Librandi_, Nov 16 2016
%K A182519 nonn
%O A182519 1,2
%A A182519 _Thomas Ordowski_, May 03 2012