login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A270975 Indices i such that A055773(i) is not equal to A130087(i). 0

%I #10 Aug 12 2022 19:24:04

%S 4,5,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,

%T 913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,

%U 930,931,932,933,934,935,936,937,938,939,940,941,942,1105,1106,1107

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

%C 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 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 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 (PARI) A055773(n)=prod(i=primepi(n/2)+1,primepi(n),prime(i));

%o A130087(n)=denominator(prod(k=1,n,k^moebius(k)));

%o for(i=0,2000,if(A055773(i)!=A130087(i),print(i)))

%Y Cf. A055773, A130087.

%K nonn

%O 1,1

%A _John M. Campbell_, Mar 27 2016

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 16 19:05 EDT 2024. Contains 371751 sequences. (Running on oeis4.)