A380901 Integers k such that k = Sum k/(p_i + j), where p_i are the prime factors of k (with multiplicity). Case j = 2.

16, 243, 78125, 120393, 166725, 177957, 316953, 792585, 1478925, 40353607, 55883275, 59648043, 77389375, 82602975, 88167807, 106237047, 107171875, 114391875, 122098275, 128153375, 130323843, 147121275, 157032603, 177471875, 189427875, 190142667, 203739375, 217464975

Offset: 1

Author

Paolo P. Lava, Mar 03 2025

Keywords

• nonn

Links

• Giovanni Resta, Table of n, a(n) for n = 1..208

Crossrefs

Cf. A380888, A380889, A380900, A380923 - A380928.

Programs

Maple

with(numtheory): P:=proc(q,h) local k,n,v; v:=[];
for n from 1 to q do if n=add(n*k[2]/(k[1]+h),k=ifactors(n)[2]) then v:=[op(v),n]; fi;
od; op(v); end: P(79350,2);

Extensions

a(22) - a(28) from Giovanni Resta, Mar 03 2025