A380900 Integers k such that k = Sum k/(p_i + j), where p_i are the prime factors of k (with multiplicity). Case j = -2.

3, 125, 16807, 29155, 33275, 50575, 90475, 7761061, 8857805, 11796113, 13463065, 20462645, 21102389, 24084445, 35496425, 36606185, 63500525, 65485805, 73776725, 99798725, 113597825, 117779585, 178056445, 193155305, 200599525, 203878325, 204311525, 251218345

Offset: 1

Author

Paolo P. Lava, Feb 09 2025

Keywords

• nonn

Examples

			29155 = 5*7^3*17 = 29155/(5-2) + 29155*3/(7-2) + 29155/(17-2)
		

Crossrefs

Cf. A380888, A380889, A380901, A380923-A380928.

Programs

Maple

with(numtheory): P:=proc(q,h) local k,n,v; v:=[];
for n from 1 by 2 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(251218345,-2);