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.

A270975 Indices i such that A055773(i) is not equal to A130087(i).

This page as a plain text file.
%I A270975 #10 Aug 12 2022 19:24:04
%S A270975 4,5,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,
%T A270975 913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,
%U A270975 930,931,932,933,934,935,936,937,938,939,940,941,942,1105,1106,1107
%N A270975 Indices i such that A055773(i) is not equal to A130087(i).
%C A270975 A number-theoretic explanation as to 'why' there is such a large gap between a(2) and a(3) is given in the Mathematics Stack Exchange link given below.
%H A270975 J. M. Campbell et al., <a href="http://math.stackexchange.com/q/1694721/">A problem involving the product prod_{k=1..n} k^mu(k), where mu denotes the Möbius function</a>, Mathematics Stack Exchange (2016).
%e A270975 A055773(897) is approximately equal to 3.6*10^191 and A130087(897) is approximately equal to 8.4*10^192. The third index i such that A055773(i) is not equal to A130087(i) is i=897, and thus a(3)=897.
%o A270975 (PARI) A055773(n)=prod(i=primepi(n/2)+1,primepi(n),prime(i));
%o A270975 A130087(n)=denominator(prod(k=1,n,k^moebius(k)));
%o A270975 for(i=0,2000,if(A055773(i)!=A130087(i),print(i)))
%Y A270975 Cf. A055773, A130087.
%K A270975 nonn
%O A270975 1,1
%A A270975 _John M. Campbell_, Mar 27 2016