|
Search: id:A143321
|
|
|
| A143321 |
|
A positive integer n is included if the sum of the distinct prime divisors of n divides n+1. |
|
+0
2
|
|
| 15, 20, 24, 35, 54, 95, 98, 104, 119, 135, 143, 144, 160, 189, 207, 209, 224, 287, 319, 323, 324, 351, 363, 375, 377, 384, 390, 459, 464, 527, 539, 559, 608, 779, 845, 864, 875, 899, 923, 989, 999, 1000, 1007, 1029, 1189, 1199, 1215, 1280, 1343, 1349, 1375
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
LINKS
|
Leroy Quet, Home Page (listed in lieu of email address)
|
|
EXAMPLE
|
The distinct primes dividing 24 are 2 and 3, since 24 is factored as 2^3 *3^1. 2+3=5 is a divisor of 24+1 = 25. So 24 is included in this sequence.
|
|
MAPLE
|
with(numtheory): a:=proc(n) local f: f:=factorset(n); if `mod`(n+1, add(f[i], i=1..nops(f)))=0 then n else end if end proc: seq(a(n), n=2..1200); [From Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 14 2008]
|
|
CROSSREFS
|
Cf. A008472, A089352, A143322.
Sequence in context: A133288 A014603 A070222 this_sequence A066860 A120159 A163602
Adjacent sequences: A143318 A143319 A143320 this_sequence A143322 A143323 A143324
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Leroy Quet Aug 07 2008
|
|
EXTENSIONS
|
More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 14 2008
More terms from Max Alekseyev (maxale(AT)gmail.com), Mar 10 2009
|
|
|
Search completed in 0.002 seconds
|
