A225718 Composite squarefree numbers n such that p(i)+8 divides n-8, where p(i) are the prime factors of n.

4958, 51653, 55583, 271358, 291338, 789173, 1379438, 5430797, 5785073, 6350885, 7159958, 10532333, 12822818, 13892243, 14809517, 23831423, 24547058, 26734058, 27391073, 32079671, 32673383, 36126098, 42560693, 51346358, 52177658, 54949958

Offset: 1

Author

Paolo P. Lava, May 13 2013

Keywords

• nonn

Examples

			Prime factors of 789173 are 7, 11, 37 and 277. We have that (789173-8)/(7+8) = 52611, (789173-8)/(11+8) = 41535, (789173-8)/(37+8) = 17537 and (789173-8)/(277+8) = 2769.
		

Crossrefs

Cf. A208728, A225702-A225717, A225719, A225720.

Programs

Maple

with(numtheory); A225718:=proc(i,j) local c, d, n, ok, p, t;
for n from 2 to i do if not isprime(n) then p:=ifactors(n)[2]; ok:=1;
for d from 1 to nops(p) do if p[d][2]>1 or p[d][1]=j then ok:=0; break; fi;
if  not type((n+j)/(p[d][1]-j),integer) then ok:=0; break; fi; od;
if ok=1 then print(n); fi; fi; od; end: A225718(10^9,-8);