A328115 Numbers n from which zero or more applications of A003415 will lead to 5.

5, 6, 9, 14, 33, 49, 62, 94, 177, 445, 817, 886, 913, 961, 1146, 1155, 1633, 1719, 1822, 2006, 2173, 2209, 2306, 2625, 2649, 2825, 3255, 3430, 3450, 3871, 4018, 4405, 4414, 4575, 4638, 4869, 5294, 5687, 6009, 6162, 6506, 6849, 8110, 8113, 8126, 8334, 8570, 9741, 9770, 10222, 10635, 11221, 12014, 13377, 13458, 13767, 13993, 15351

Offset: 1

Author

Antti Karttunen, Oct 07 2019

Keywords

• nonn

Comments

Union of {5} with those terms of k of A099308 for which A327968(k) = 5.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A003415, A099308, A327968, A327975, A328117.

Programs

PARI

A003415checked(n) = if(n<=1, 0, my(f=factor(n), s=0); for(i=1, #f~, if(f[i,2]>=f[i,1],return(0), s += f[i, 2]/f[i, 1])); (n*s));
isA328115(n) = { while((n>5), n = A003415checked(n)); (5==n); };
k=0; n=0; while(k<100, n++; if(isA328115(n), k++; print1(n, ", ")));