OFFSET
1,1
LINKS
PROG
(PARI)
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
isA369960(n) = { my(t=A003415(n), u=A276086(n), g=gcd(n, t), h=gcd(n, u)); ((t >= u) && (g==h) && (g>1)); };
isA369960(n) = if(!n || issquarefree(n), 0, my(t=A003415(n), u=A276086(n), g=gcd(n, t), h=gcd(n, u)); ((t >= u) && (g==h)));
(PARI)
A085731(n) = { my(f=factor(n)); for(i=1, #f~, if (f[i, 2] % f[i, 1], f[i, 2]--); ); factorback(f); };
A324198(n) = { my(m=1, p=2, orgn=n); while(n, m *= (p^min(n%p, valuation(orgn, p))); n = n\p; p = nextprime(1+p)); (m); };
CROSSREFS
KEYWORD
nonn
AUTHOR
Antti Karttunen, Feb 07 2024
STATUS
approved