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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.
10
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
1,1
LINKS
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);
CROSSREFS
KEYWORD
nonn
AUTHOR
Paolo P. Lava, Mar 03 2025
EXTENSIONS
a(22) - a(28) from Giovanni Resta, Mar 03 2025
STATUS
approved