A324896 Largest proper divisor of A324886(n).

1, 1, 1, 3, 1, 5, 1, 5, 7, 7, 1, 125, 1, 11, 16807, 75, 1, 245, 1, 343, 161051, 13, 1, 175, 102487, 17, 11, 1331, 1, 26411, 1, 7, 371293, 19, 3293331899, 300125, 1, 23, 1419857, 11, 1, 13, 1, 2197, 161051, 29, 1, 343, 82055753, 73525096183, 2476099, 4913, 1, 605, 634933, 19487171, 6436343, 31, 1, 65219, 1, 37, 265837, 147

Offset: 1

Author

Antti Karttunen, Mar 30 2019

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..2310
• Index entries for sequences computed from indices in prime factorization
• Index entries for sequences related to primorial base
• Index entries for sequences related to primorial numbers

Crossrefs

Cf. A032742, A108951, A276086, A324886, A324895.

Programs

PARI

A034386(n) = prod(i=1, primepi(n), prime(i));
A032742(n) = if(1==n,n,n/vecmin(factor(n)[,1]));
A108951(n) = { my(f=factor(n)); prod(i=1, #f~, A034386(f[i, 1])^f[i, 2]) };  \\ From A108951
A276086(n) = { my(i=0,m=1,pr=1,nextpr); while((n>0),i=i+1; nextpr = prime(i)*pr; if((n%nextpr),m*=(prime(i)^((n%nextpr)/pr));n-=(n%nextpr));pr=nextpr); m; };
A324886(n) = A276086(A108951(n));
A324896(n) = A032742(A324886(n));

Formula

a(n) = A032742(A324886(n)) = A324895(A108951(n)).