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.

A328169 GCD of the prime indices of n, all plus 1.

This page as a plain text file.
%I A328169 #5 Oct 13 2019 11:20:59
%S A328169 0,2,3,2,4,1,5,2,3,2,6,1,7,1,1,2,8,1,9,2,1,2,10,1,4,1,3,1,11,1,12,2,3,
%T A328169 2,1,1,13,1,1,2,14,1,15,2,1,2,16,1,5,2,1,1,17,1,2,1,3,1,18,1,19,2,1,2,
%U A328169 1,1,20,2,1,1,21,1,22,1,1,1,1,1,23,2,3,2
%N A328169 GCD of the prime indices of n, all plus 1.
%C A328169 Zeros are ignored when computing GCD, and the empty set has GCD 0.
%C A328169 A prime index of n is a number m such that prime(m) divides n. The multiset of prime indices of n is row n of A112798.
%F A328169 a(n) = A289508(A003961(n)).
%e A328169 85 has prime indices {3,7}, so a(85) = GCD(4,8) = 4.
%t A328169 Table[GCD@@(PrimePi/@First/@If[n==1,{},FactorInteger[n]]+1),{n,100}]
%Y A328169 Positions of 0's and 1's are A318981.
%Y A328169 Positions of records (first appearances) appear to be A116974.
%Y A328169 The GCD of the prime indices of n, all minus 1, is A328167(n).
%Y A328169 The LCM of the prime indices of n, all plus 1, is A328219(n).
%Y A328169 Partitions whose parts plus 1 are relatively prime are A318980.
%Y A328169 Cf. A000837, A056239, A112798, A258409, A289508, A289509, A290103, A328168.
%K A328169 nonn
%O A328169 1,2
%A A328169 _Gus Wiseman_, Oct 09 2019