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A324896
Largest proper divisor of A324886(n).
4
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
1,4
FORMULA
a(n) = A032742(A324886(n)) = A324895(A108951(n)).
PROG
(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; };
CROSSREFS
KEYWORD
nonn
AUTHOR
Antti Karttunen, Mar 30 2019
STATUS
approved