|
|
A050704
|
|
Composite numbers k with the property that k minus the sum of the prime factors of k is prime.
|
|
11
|
|
|
8, 9, 10, 12, 14, 15, 20, 21, 26, 28, 33, 35, 38, 39, 40, 44, 48, 51, 54, 56, 62, 65, 68, 69, 76, 77, 80, 86, 88, 91, 93, 95, 96, 111, 112, 116, 122, 123, 124, 129, 133, 136, 146, 148, 152, 159, 161, 176, 188, 189, 198, 201, 203, 206, 209, 210, 213, 215, 217, 218
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Prime factors are totaled with multiplicity, e.g., 8 = 2*2*2 so the sum of the prime factors of 8 is 6. - Harvey P. Dale, Jun 14 2011
|
|
LINKS
|
|
|
EXAMPLE
|
E.g., 161 = 7*23; 161 - (7 + 23) = 161 - 30 = 131, which is prime.
|
|
MATHEMATICA
|
Select[Range[250], CompositeQ[#]&&PrimeQ[#-Total[Times@@@ FactorInteger[ #]]]&] (* Harvey P. Dale, Jun 14 2011 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,nice
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|