|
|
A225718
|
|
Composite squarefree numbers n such that p(i)+8 divides n-8, where p(i) are the prime factors of n.
|
|
3
|
|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
EXAMPLE
|
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.
|
|
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);
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|